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dup 122 /z put
readonly def
/FontBBox{-34 -251 988 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMMI12
%!PS-AdobeFont-1.1: CMMI12 1.100
%%CreationDate: 1996 Jul 27 08:57:55
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI12 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 11 /alpha put
dup 12 /beta put
dup 14 /delta put
dup 15 /epsilon1 put
dup 17 /eta put
dup 18 /theta put
dup 22 /mu put
dup 23 /nu put
dup 26 /rho put
dup 28 /tau put
dup 58 /period put
dup 59 /comma put
dup 60 /less put
dup 61 /slash put
dup 62 /greater put
dup 67 /C put
dup 69 /E put
dup 74 /J put
dup 75 /K put
dup 76 /L put
dup 79 /O put
dup 80 /P put
dup 83 /S put
dup 85 /U put
dup 99 /c put
dup 104 /h put
dup 105 /i put
dup 106 /j put
dup 109 /m put
dup 115 /s put
dup 116 /t put
readonly def
/FontBBox{-30 -250 1026 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMBX12
%!PS-AdobeFont-1.1: CMBX12 1.0
%%CreationDate: 1991 Aug 20 16:34:54
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMBX12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMBX12 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 11 /ff put
dup 46 /period put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 53 /five put
dup 54 /six put
dup 55 /seven put
dup 56 /eight put
dup 57 /nine put
dup 63 /question put
dup 65 /A put
dup 66 /B put
dup 68 /D put
dup 69 /E put
dup 70 /F put
dup 73 /I put
dup 75 /K put
dup 76 /L put
dup 77 /M put
dup 78 /N put
dup 79 /O put
dup 80 /P put
dup 82 /R put
dup 83 /S put
dup 84 /T put
dup 85 /U put
dup 86 /V put
dup 87 /W put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 120 /x put
dup 121 /y put
readonly def
/FontBBox{-53 -251 1139 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMMI6
%!PS-AdobeFont-1.1: CMMI6 1.100
%%CreationDate: 1996 Jul 23 07:53:52
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI6) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI6 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 101 /e put
readonly def
/FontBBox{11 -250 1241 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMR6
%!PS-AdobeFont-1.1: CMR6 1.0
%%CreationDate: 1991 Aug 20 16:39:02
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR6) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR6 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 49 /one put
dup 50 /two put
dup 51 /three put
readonly def
/FontBBox{-20 -250 1193 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMEX10
%!PS-AdobeFont-1.1: CMEX10 1.00
%%CreationDate: 1992 Jul 23 21:22:48
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMEX10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMEX10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 48 /parenlefttp put
dup 49 /parenrighttp put
dup 64 /parenleftbt put
dup 65 /parenrightbt put
dup 66 /parenleftex put
dup 67 /parenrightex put
readonly def
/FontBBox{-24 -2960 1454 772}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMSY6
%!PS-AdobeFont-1.1: CMSY6 1.0
%%CreationDate: 1991 Aug 15 07:21:34
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMSY6) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY6 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 48 /prime put
readonly def
/FontBBox{-4 -948 1329 786}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMSY8
%!PS-AdobeFont-1.1: CMSY8 1.0
%%CreationDate: 1991 Aug 15 07:22:10
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMSY8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY8 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /minus put
dup 3 /asteriskmath put
dup 48 /prime put
dup 112 /radical put
dup 121 /dagger put
readonly def
/FontBBox{-30 -955 1185 779}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMR8
%!PS-AdobeFont-1.1: CMR8 1.0
%%CreationDate: 1991 Aug 20 16:39:40
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR8 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 48 /zero put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 54 /six put
readonly def
/FontBBox{-36 -250 1070 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMMI8
%!PS-AdobeFont-1.1: CMMI8 1.100
%%CreationDate: 1996 Jul 23 07:53:54
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI8 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 11 /alpha put
dup 12 /beta put
dup 14 /delta put
dup 22 /mu put
dup 28 /tau put
dup 85 /U put
dup 99 /c put
dup 101 /e put
dup 105 /i put
dup 106 /j put
dup 115 /s put
readonly def
/FontBBox{-24 -250 1110 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMR10
%!PS-AdobeFont-1.1: CMR10 1.00B
%%CreationDate: 1992 Feb 19 19:54:52
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 44 /comma put
dup 74 /J put
dup 97 /a put
dup 98 /b put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
readonly def
/FontBBox{-251 -250 1009 969}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMBX10
%!PS-AdobeFont-1.1: CMBX10 1.00B
%%CreationDate: 1992 Feb 19 19:54:06
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMBX10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMBX10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 65 /A put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 114 /r put
dup 115 /s put
dup 116 /t put
readonly def
/FontBBox{-301 -250 1164 946}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont 
%%BeginFont: CMR17
%!PS-AdobeFont-1.1: CMR17 1.0
%%CreationDate: 1991 Aug 20 16:38:24
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
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b(and)f(a)g(trimaxi-)94 2213 y(mally)i(mixed)h Fo(\027)706
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2238 y Fm(13)3185 2213 y Fu(tak)m(es)h(a)f(more)94 2355
y(general)e(v)-5 b(alue.)241 2496 y(Giv)m(en)40 b(that)f(the)g(data)g
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f(in)m(terested)i(in)94 2638 y(ho)m(w)31 b(b)s(est)g(to)e(establish)j
(deviations)f(from)f(it.)43 b(W)-8 b(e)30 b(therefore)h(expand)g(in)f
(four)g(small)g(quan)m(tities)94 2780 y(around)j(these)h(particular)f
(v)-5 b(alues)33 b(b)m(y)h(instead)f(letting:)732 3017
y Fo(\022)780 2976 y Fl(0)777 3042 y Fm(12)880 3017 y
Fu(=)27 b(sin)1103 2976 y Fl(\000)p Fm(1)1198 3017 y
Fu(\(1)p Fo(=)1334 2930 y Fp(p)p 1416 2930 V 1416 3017
a Fu(3\))22 b(+)1623 2930 y Fp(p)p 1706 2930 V 87 x Fu(2)p
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3017 y Fu(\(1)p Fo(=)2537 2930 y Fp(p)p 2619 2930 V 2619
3017 a Fu(2\))22 b(+)g Fo(\026;)696 b Fu(\(7\))1372 3184
y(sin)18 b Fo(\022)1557 3143 y Fl(0)1554 3209 y Fm(13)1629
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49 4 v 82 x Fu(3)1706 3677 y([cos\()1901 3590 y Fp(p)p
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y Fp(p)p 2314 3590 V 87 x Fu(2)16 b(sin)q(\()2537 3590
y Fp(p)p 2620 3590 V 87 x Fu(2)o Fo(\017)p Fu(\)])836
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132 4 v 1564 3926 a Fp(p)p 1647 3926 49 4 v 82 x Fu(3)1706
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y Fn(c)1647 5130 y Fi(23)p 1616 5137 96 4 v 1616 5194
a Fn(c)1647 5203 y Fi(12)1722 5160 y Fo(U)1798 5124 y
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y(A)3559 5040 y Fu(\(13\))94 5362 y(whic)m(h)43 b(is)f(unitary)-8
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y(2)p eop end
%%Page: 3 3
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v 867 1384 4 121 v 919 1348 a(P)m(arameter)p 1410 1384
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2956 1384 V 869 1388 2089 4 v 867 1508 4 121 v 1115 1472
a Fo(\032)p 1410 1508 V 1427 1508 V 353 w Fu(Y)p 1680
1508 V 341 w(Y)p 2255 1508 V 566 w(N)p 2956 1508 V 867
1629 V 1115 1592 a Fo(\021)p 1410 1629 V 1427 1629 V
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V 1427 1749 V 358 w Fu(Y)p 1680 1749 V 341 w(N)p 2255
1749 V 566 w(Y)p 2956 1749 V 867 1869 V 1111 1833 a Fo(\026)p
1410 1869 V 1427 1869 V 348 w Fu(Y)p 1680 1869 V 341
w(N)p 2255 1869 V 566 w(N)p 2956 1869 V 869 1873 2089
4 v 94 2141 a(T)-8 b(able)39 b(1:)54 b(T)-8 b(able)38
b(indicating)h(whic)m(h)g(of)e(our)h(four)g(mixing)g(parameters)h(resp)
s(ect)g(whic)m(h)g(of)f(the)94 2261 y(three)c(phenomenological)g
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2833 y Fo(U)94 b Fp(')578 2612 y Fj(0)578 2758 y(B)578
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36 4 v 1233 3724 a(2)1278 3690 y Fo(\026)1337 3654 y
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end
%%Page: 4 4
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Fm(3)885 929 y Fp(j)913 888 y Fm(2)1035 929 y Fu(=)1204
862 y(1)p 1204 906 V 1204 997 a(2)1263 929 y([1)22 b
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842 V 87 x Fu(2)p Fo(\032)g Fp(\000)h Fo(\032)2042 888
y Fm(2)2104 929 y Fp(\000)f Fo(\021)2255 888 y Fm(2)2317
929 y Fu(+)g(3)2464 842 y Fp(p)p 2547 842 V 87 x Fu(2)o
Fo(\032\017)p Fu(])848 b(\(20\))787 1162 y Fo(K)877 1121
y Fm(32)870 1187 y Fn(\026e)1035 1162 y Fu(=)1231 1095
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1157 y Fp(p)p 1336 1157 49 4 v 82 x Fu(2)1395 1162 y(\(1)21
b(+)h Fo(\017)p Fu(\))h Fp(\000)1810 1095 y Fu(1)p 1810
1139 V 1810 1231 a(6)1869 1162 y(\()p Fo(\032)1957 1121
y Fm(2)2019 1162 y Fu(+)f Fo(\021)2169 1121 y Fm(2)2208
1162 y Fu(\))1313 b(\(21\))787 1417 y Fo(K)877 1376 y
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a Fu(3)1253 1412 y Fp(p)p 1336 1412 49 4 v 82 x Fu(2)1395
1417 y(\(1)21 b(+)h Fo(\017)p Fu(\))h Fp(\000)1810 1350
y Fu(1)p 1810 1394 V 1810 1486 a(6)1869 1417 y(\()p Fo(\032)1957
1376 y Fm(2)2019 1417 y Fu(+)f Fo(\021)2169 1376 y Fm(2)2208
1417 y Fu(\))1313 b(\(22\))784 1672 y Fo(K)874 1631 y
Fm(32)867 1697 y Fn(\026\034)1035 1672 y Fu(=)83 b Fp(\000)1281
1605 y Fu(1)p 1281 1649 V 1281 1741 a(6)1340 1672 y([1)22
b Fp(\000)h Fu(2)p Fo(\017)f Fp(\000)h Fo(\017)1787 1631
y Fm(2)1849 1672 y Fp(\000)f Fu(4)p Fo(\026)2056 1631
y Fm(2)2117 1672 y Fu(+)g(2)2264 1586 y Fp(p)p 2347 1586
V 86 x Fu(2)p Fo(\026\032)g Fp(\000)h Fu(2\()p Fo(\032)2764
1631 y Fm(2)2825 1672 y Fu(+)f Fo(\021)2975 1631 y Fm(2)3015
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1817 y Fo(\021)p 1204 1861 181 4 v 1204 1961 a Fu(3)1253
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b(+)h Fo(\017)p Fu(\))1881 b(\(24\))94 2152 y(Again,)30
b(the)g(breaking)g(of)e Fo(\026)p Fu(-)p Fo(\034)40 b
Fu(symmetry)31 b(b)m(y)f Fo(\032)f Fu(and)h Fo(\026)e
Fu(is)i(explicit.)44 b(As)29 b(cross-c)m(hec)m(ks,)34
b(it)29 b(can)g(b)s(e)94 2293 y(v)m(eri\014ed)k(that)e(the)g(unitarit)m
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2293 y Fp(j)1901 2257 y Fm(2)1959 2293 y Fu(+)19 b Fp(j)p
Fo(U)2148 2308 y Fn(\026)p Fm(2)2230 2293 y Fp(j)2258
2257 y Fm(2)2315 2293 y Fu(+)g Fp(j)p Fo(U)2504 2308
y Fn(\034)8 b Fm(2)2582 2293 y Fp(j)2610 2257 y Fm(2)2677
2293 y Fu(=)28 b(1)i(and)h Fp(j)p Fo(U)3142 2308 y Fn(e)p
Fm(3)3214 2293 y Fp(j)3242 2257 y Fm(2)3300 2293 y Fu(+)19
b Fp(j)p Fo(U)3489 2308 y Fn(\026)p Fm(3)3571 2293 y
Fp(j)3599 2257 y Fm(2)3656 2293 y Fu(+)94 2435 y Fp(j)p
Fo(U)188 2450 y Fn(\034)8 b Fm(3)267 2435 y Fp(j)295
2399 y Fm(2)362 2435 y Fu(=)27 b(1,)33 b(are)f(satis\014ed,)i(as)f(w)m
(ell)h(as)f Fo(K)1666 2399 y Fm(32)1659 2460 y Fn(e\034)1763
2435 y Fu(+)22 b Fo(K)1951 2399 y Fm(32)1944 2460 y Fn(\026\034)2057
2435 y Fu(=)27 b Fp(\000j)p Fo(U)2331 2450 y Fn(\034)8
b Fm(3)2410 2435 y Fp(j)2438 2399 y Fm(2)2477 2435 y
Fp(j)p Fo(U)2571 2450 y Fn(\034)g Fm(2)2650 2435 y Fp(j)2678
2399 y Fm(2)2717 2435 y Fu(,)32 b(etc.)241 2577 y(W)-8
b(e)35 b(are)g(going)f(to)g(expand)i(the)g(observ)-5
b(able)36 b(transition)f(probabilities)h(to)e(second)i(order)f(in)94
2719 y(small)29 b(quan)m(tities.)44 b(While)28 b(w)m(e)h(ha)m(v)m(e)g
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m(ould)94 2860 y(lik)m(e)41 b(to)d(determine,)43 b(w)m(e)d(will)g(also)
f(de\014ne)h(t)m(w)m(o)g(other)f(small)g(quan)m(tities)i(asso)s(ciated)
f(with)g(the)94 3002 y(observ)-5 b(ables.)43 b(F)-8 b(or)25
b(most)i(curren)m(t)g(and)e(next-generation)i(\(man-made\))f(neutrino)h
(b)s(eams)f(\(other)94 3144 y(than)41 b(the)g(KAMLAND)f(and)g(similar)h
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b(for)40 b(whic)m(h)94 3286 y(a)f(sp)s(ecial)h(case)g(will)f(need)h(to)
f(b)s(e)g(made\),)i(\001)1822 3301 y Fm(21)1936 3286
y Fp(\034)d Fu(1)g(so)i(that)e(sin)q(\001)2706 3301 y
Fm(21)2819 3286 y Fp(')h Fu(\001)3016 3301 y Fm(21)3130
3286 y Fp(\034)f Fu(1.)62 b(W)-8 b(e)40 b(will)94 3427
y(handle)34 b(this)f(b)m(y)h(writing)1693 3569 y(\001)1774
3584 y Fm(21)1876 3569 y Fu(=)28 b Fo(h)17 b Fu(\001)1425
b(\(25\))94 3765 y(where)1431 3906 y(\001)28 b Fp(\021)33
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y(31)2023 3906 y Fo(>)f(L=)p Fu(4)p Fo(E)6 b(;)1164 b
Fu(\(26\))94 4102 y(with)34 b Fo(<)27 b Fu(\001)p Fo(m)586
4066 y Fm(2)586 4127 y(31)689 4102 y Fo(>)33 b Fu(the)g(\(kno)m(wn\))g
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Fo(m)2522 4066 y Fm(2)2522 4127 y(31)2597 4102 y Fu(,)h(and)1349
4381 y Fo(h)27 b Fp(\021)1651 4314 y Fu(\001)p Fo(m)1817
4278 y Fm(2)1817 4339 y(21)p 1548 4358 449 4 v 1548 4450
a Fo(<)g Fu(\001)p Fo(m)1817 4415 y Fm(2)1817 4471 y(31)1920
4450 y Fo(>)2034 4381 y Fp(')h Fu(0)p Fo(:)p Fu(03)1246
b(\(27\))94 4654 y(describ)s(es)43 b(the)e(hierarc)m(h)m(y)h(of)e
(mass-squared)j(di\013erences,)h(considered)f(a)d(small)h(\(kno)m(wn\))
h(pa-)94 4796 y(rameter.)241 4938 y(There)29 b(is)g(also)f(the)g(small)
h(uncertain)m(t)m(y)h(in)e(the)g(measured)i(v)-5 b(alue)28
b(of)g(the)g(atmospheric)i(mass-)94 5079 y(squared)25
b(di\013erence,)i(\001)p Fo(m)1068 5043 y Fm(2)1068 5104
y(31)1160 5079 y Fp(\000)h Fo(<)g Fu(\001)p Fo(m)1535
5043 y Fm(2)1535 5104 y(31)1638 5079 y Fo(>)p Fu(,)d(whic)m(h)g(w)m(e)f
(describ)s(e)h(with)f(the)g(small)g(dimensionless)94
5221 y(parameter:)1490 5395 y Fo(\016)32 b Fp(\021)1784
5328 y Fu(\001)p Fo(m)1950 5292 y Fm(2)1950 5352 y(31)p
1680 5372 V 1680 5463 a Fo(<)c Fu(\001)p Fo(m)1950 5429
y Fm(2)1950 5485 y(31)2053 5463 y Fo(>)2161 5395 y Fp(\000)22
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%%Page: 5 5
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(describing)h(the)f Fo(L=E)48 b Fu(dep)s(endence)43 b(will)f(b)s(e)g
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b(the)g(t)m(w)m(o)g(small)h(expansion)g(parameters:)1584
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b(to)d(second)i(order)f(in)g(small)h(quan)m(tities,)h(w)m(e)e(ha)m(v)m
(e)i(for)d(the)h(trigonometric)g(functions)h(of)94 1374
y(comp)s(ound)e(angles)f(in)g(Equations)h(1)e(and)g(3:)995
1626 y(sin\001)1195 1641 y Fm(31)1354 1626 y Fu(=)82
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y(\()p Fo(\016)20 b Fu(\001\))2331 1585 y Fm(2)2371 1626
y Fo(S)1128 b Fu(\(31\))955 1811 y(sin)1075 1770 y Fm(2)1114
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Fu(\001\))2431 1770 y Fm(2)2471 1811 y Fu(\(1)i Fp(\000)h
Fu(2)p Fo(S)2795 1770 y Fm(2)2834 1811 y Fu(\))687 b(\(32\))94
2045 y(where)37 b Fo(S)g Fu(=)31 b(sin)17 b(\001)36 b(and)e
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2060 y Fm(32)2433 2045 y Fu(=)d(\001)2621 2060 y Fm(31)2720
2045 y Fp(\000)24 b Fu(\001)2902 2060 y Fm(21)3008 2045
y Fu(=)32 b(\001)24 b(+)f(\()p Fo(\016)28 b Fp(\000)c
Fo(h)p Fu(\)\001,)94 2187 y(w)m(e)34 b(ha)m(v)m(e:)962
2421 y(sin\001)1162 2436 y Fm(32)1320 2421 y Fu(=)83
b Fo(S)28 b Fu(+)22 b(\()p Fo(\016)k Fp(\000)d Fo(h)p
Fu(\)\001)p Fo(C)29 b Fp(\000)2256 2353 y Fu(1)p 2256
2398 V 2256 2489 a(2)2315 2421 y(\()p Fo(\016)d Fp(\000)c
Fo(h)p Fu(\))2615 2380 y Fm(2)2655 2421 y Fu(\001)2736
2380 y Fm(2)2776 2421 y Fo(S)723 b Fu(\(33\))951 2654
y(cos\001)1162 2669 y Fm(32)1320 2654 y Fu(=)83 b Fo(C)29
b Fp(\000)23 b Fu(\()p Fo(\016)j Fp(\000)d Fo(h)p Fu(\)\001)p
Fo(S)28 b Fp(\000)2258 2587 y Fu(1)p 2258 2631 V 2258
2722 a(2)2316 2654 y(\()p Fo(\016)e Fp(\000)d Fo(h)p
Fu(\))2617 2613 y Fm(2)2657 2654 y Fu(\001)2738 2613
y Fm(2)2777 2654 y Fo(C)r(:)683 b Fu(\(34\))94 2986 y
Fq(4)162 b(Expansion)56 b(of)h(T)-13 b(ransition)55 b(Probabilities)h
(to)g(Second)337 3168 y(Order)d(in)g Fg(h)24 b Ft(\001)53
b Fq(and)h Fg(\016)29 b Ft(\001)94 3409 y Fu(Inserting)34
b(the)f(expansions)i(from)d(Eqs.)i(31-34)e(in)h(the)g(form)m(ula,)g
(Eq.)g(1,)g(for)f(the)h(general)g(disap-)94 3550 y(p)s(earance)h
(probabilit)m(y)-8 b(,)33 b(and)g(k)m(eeping)h(terms)g(to)e(second)i
(order)e(in)h Fo(h)17 b Fu(\001)33 b(and)g Fo(\016)20
b Fu(\001)33 b(giv)m(es:)210 3734 y(1)p 210 3779 V 210
3870 a(4)269 3802 y(\(1)21 b Fp(\000)i Fo(P)14 b Fu(\()p
Fo(\027)640 3817 y Fn(\013)717 3802 y Fp(!)27 b Fo(\027)892
3817 y Fn(\013)942 3802 y Fu(\)\))83 b(=)h Fo(S)1327
3761 y Fm(2)1366 3802 y Fp(j)p Fo(U)1460 3817 y Fn(\013)p
Fm(3)1545 3802 y Fp(j)1573 3761 y Fm(2)1612 3802 y Fu(\(1)22
b Fp(\000)h(j)p Fo(U)1915 3817 y Fn(\013)p Fm(3)1999
3802 y Fp(j)2027 3761 y Fm(2)2066 3802 y Fu(\))1101 3987
y(+)84 b(2\001)p Fo(S)6 b(C)h Fp(j)p Fo(U)1628 4002 y
Fn(\013)p Fm(3)1713 3987 y Fp(j)1741 3946 y Fm(2)1780
3987 y Fu([)17 b Fo(\016)t Fu(\(1)k Fp(\000)i(j)p Fo(U)2173
4002 y Fn(\013)p Fm(3)2258 3987 y Fp(j)2286 3946 y Fm(2)2325
3987 y Fu(\))f Fp(\000)g Fo(h)p Fp(j)p Fo(U)2634 4002
y Fn(\013)p Fm(2)2719 3987 y Fp(j)2747 3946 y Fm(2)2786
3987 y Fu(])1101 4154 y(+)84 b(\001)1342 4113 y Fm(2)1382
4154 y Fp(f)17 b Fo(\016)1496 4113 y Fm(2)1535 4154 y
Fu(\(1)22 b Fp(\000)g Fu(2)p Fo(S)1858 4113 y Fm(2)1897
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4154 y Fp(j)2142 4113 y Fm(2)2181 4154 y Fu(\(1)g Fp(\000)g(j)p
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Fm(2)2889 4154 y Fp(j)p Fo(U)2983 4169 y Fn(\013)p Fm(2)3068
4154 y Fp(j)3096 4113 y Fm(2)3135 4154 y Fu(\(1)g Fp(\000)g(j)p
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4113 y Fm(2)3589 4154 y Fu(\))1101 4321 y Fp(\000)247
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b(the)g(expansions)h(from)e(Eqs.)h(31-34)e(in)h(the)h(form)m(ula,)i
(Eq.)e(3,)i(for)c(the)i(general)94 4696 y(app)s(earance)34
b(probabilit)m(y)-8 b(,)33 b(and)g(k)m(eeping)h(terms)g(to)e(second)i
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b Fu(\001)33 b(giv)m(es:)584 4880 y(1)p 584 4924 V 584
5016 a(4)643 4948 y Fo(P)14 b Fu(\()p Fo(\027)806 4963
y Fn(\013)882 4948 y Fp(!)28 b Fo(\027)1058 4963 y Fn(\014)1105
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y Fp(j)p Fo(U)1584 4963 y Fn(\013)p Fm(3)1669 4948 y
Fp(j)1697 4907 y Fm(2)1736 4948 y Fp(j)p Fo(U)1830 4963
y Fn(\014)s Fm(3)1912 4948 y Fp(j)1940 4907 y Fm(2)1226
5133 y Fu(+)g(2\001)p Fo(S)6 b Fu([)17 b Fo(\016)t Fp(j)p
Fo(U)1766 5148 y Fn(\013)p Fm(3)1850 5133 y Fp(j)1878
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Fm(3)2093 5133 y Fp(j)2121 5092 y Fm(2)2161 5133 y Fo(C)29
b Fu(+)22 b Fo(h)p Fu(\()p Fo(K)2542 5092 y Fm(32)2535
5158 y Fn(\013\014)2627 5133 y Fo(C)29 b Fu(+)22 b Fo(J)9
b(S)d Fu(\))17 b(])1226 5300 y(+)83 b(\001)1466 5259
y Fm(2)1505 5300 y Fp(f)17 b Fo(\016)1619 5259 y Fm(2)1658
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5300 y Fp(j)p Fo(U)2858 5315 y Fn(\013)p Fm(2)2942 5300
y Fp(j)2970 5259 y Fm(2)3009 5300 y Fp(j)p Fo(U)3103
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b Fu(\()p Fo(K)2568 5425 y Fm(32)2561 5491 y Fn(\013\014)2654
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%%Page: 6 6
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b(of)i(Observ)-9 b(ables)52 b(in)i(Small)g(P)l(arameters)94
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b(to)45 b(detect)h(all)g(three)94 813 y(\015a)m(v)m(oured)35
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h(the)g(six)g(p)s(ossible)h(com)m(binations)g(for)94
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(ti-particle)f(conjugates.)47 b(Giv)m(en)35 b(that)f(time-rev)m(ersed)
94 1096 y(and)43 b Fo(C)7 b(P)14 b Fu(-conjugate)41 b(probabilities)i
(are)f(simply)i(giv)m(en)f(b)m(y)h(in)m(v)m(erting)f(the)g(sign)g(of)e
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(e\013ects\),)k(only)c(5)g(need)h(to)f(b)s(e)g(considered:)61
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y Fp(!)40 b Fo(\027)3048 1253 y Fn(e)3085 1238 y Fu(\),)i
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1379 y Fo(P)14 b Fu(\()p Fo(\027)257 1394 y Fn(e)322
1379 y Fp(!)27 b Fo(\027)497 1394 y Fn(\034)540 1379
y Fu(\),)33 b Fo(P)14 b Fu(\()p Fo(\027)801 1394 y Fn(\026)875
1379 y Fp(!)27 b Fo(\027)1050 1394 y Fn(\026)1097 1379
y Fu(\),)32 b(and)h Fo(P)14 b Fu(\()p Fo(\027)1547 1394
y Fn(\026)1621 1379 y Fp(!)27 b Fo(\027)1796 1394 y Fn(\034)1839
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%%Page: 7 7
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Fp(!)29 b Fo(\027)3106 510 y Fn(\026)3153 495 y Fu(\),)34
b(making)g(the)94 637 y(substitutions)48 b(\(see)e(eg.)f(Eqs.)h
(15-24\))e Fo(\026)49 b Fp(!)f(\000)p Fo(\026)p Fu(,)h
Fo(\032)g Fp(!)g(\000)p Fo(\032)d Fu(and)f Fo(\021)53
b Fp(!)48 b(\000)p Fo(\021)h Fu(\()p Fo(\026)p Fu(-)p
Fo(\034)56 b Fu(re\015ection)94 778 y(includes)35 b(a)d
Fo(C)7 b(P)46 b Fu(transformation\):)174 975 y(1)p 174
1019 49 4 v 174 1111 a(4)233 1043 y Fo(P)14 b Fu(\()p
Fo(\027)396 1058 y Fn(e)460 1043 y Fp(!)27 b Fo(\027)635
1058 y Fn(\034)679 1043 y Fu(\))83 b Fp(')970 975 y Fu(1)p
970 1019 V 970 1111 a(2)1029 1043 y Fo(S)1095 1002 y
Fm(2)1134 1043 y Fu(\()p Fo(\032)1222 1002 y Fm(2)1284
1043 y Fu(+)22 b Fo(\021)1434 1002 y Fm(2)1473 1043 y
Fu(\)\(1)g Fp(\000)g Fu(2)p Fo(\026)g Fu(+)1947 956 y
Fp(p)p 2030 956 V 87 x Fu(2)p Fo(\032)p Fu(\))800 1302
y(+)84 b(\001)p Fo(S)6 b Fu([\()p Fo(\016)26 b Fp(\000)1351
1234 y Fo(h)p 1351 1278 57 4 v 1355 1370 a Fu(3)1417
1302 y(\)\()p Fo(\032)1543 1260 y Fm(2)1605 1302 y Fu(+)c
Fo(\021)1755 1260 y Fm(2)1794 1302 y Fu(\))p Fo(C)29
b Fp(\000)2041 1152 y(p)p 2124 1152 49 4 v 82 x Fu(2)o
Fo(h)p 2041 1278 188 4 v 2110 1370 a Fu(3)2238 1302 y(\(1)22
b(+)g Fo(\017)p Fu(\)\()p Fo(\032C)30 b Fu(+)22 b Fo(\021)t(S)6
b Fu(\)])800 1540 y(+)84 b(\001)1041 1499 y Fm(2)1091
1472 y Fo(h)p 1091 1516 57 4 v 1095 1608 a Fu(3)1157
1540 y Fp(f)1217 1472 y Fo(h)p 1217 1516 V 1221 1608
a Fu(3)1283 1540 y([1)22 b(+)g(2\()p Fo(\017)g Fu(+)g
Fo(\026)p Fu(\)])g Fp(\000)1971 1453 y(p)p 2054 1453
49 4 v 87 x Fu(2)o([)p Fo(\016)t(\032)h Fp(\000)g Fu(\(2)p
Fo(\016)i Fp(\000)e Fo(h)p Fu(\))p Fo(S)6 b Fu(\()p Fo(\032S)28
b Fp(\000)23 b Fo(\021)t(C)7 b Fu(\)])p Fp(g)275 b Fu(\(51\))800
1799 y(=)970 1731 y(1)p 970 1775 V 970 1867 a(2)1029
1799 y Fo(S)1095 1757 y Fm(2)1134 1799 y Fu(\()p Fo(\032)1222
1757 y Fm(2)1284 1799 y Fu(+)22 b Fo(\021)1434 1757 y
Fm(2)1473 1799 y Fu(\))g Fp(\000)h Fu(\001)p Fo(S)1790
1649 y Fp(p)p 1873 1649 V 82 x Fu(2)p Fo(h)p 1790 1775
188 4 v 1859 1867 a Fu(3)1988 1799 y(\()p Fo(\032C)29
b Fu(+)22 b Fo(\021)t(S)6 b Fu(\))22 b(+)g(\001)2630
1757 y Fm(2)2679 1731 y Fo(h)2735 1695 y Fm(2)p 2679
1775 96 4 v 2703 1867 a Fu(9)3077 1799 y(\(2nd)33 b(order\))800
2010 y Fp(\000)83 b Fo(S)1026 1969 y Fm(2)1065 2010 y
Fu(\()p Fo(\032)1153 1969 y Fm(2)1215 2010 y Fu(+)22
b Fo(\021)1365 1969 y Fm(2)1404 2010 y Fu(\)\()p Fo(\026)g
Fp(\000)1711 1943 y Fo(\032)p 1671 1987 132 4 v 1671
2005 a Fp(p)p 1754 2005 49 4 v 82 x Fu(2)1812 2010 y(\))800
2291 y(+)84 b(\001)p Fo(S)6 b Fu([\()p Fo(\016)26 b Fp(\000)1351
2224 y Fo(h)p 1351 2268 57 4 v 1355 2360 a Fu(3)1417
2291 y(\)\()p Fo(\032)1543 2250 y Fm(2)1605 2291 y Fu(+)c
Fo(\021)1755 2250 y Fm(2)1794 2291 y Fu(\))p Fo(C)29
b Fp(\000)2041 2142 y(p)p 2124 2142 49 4 v 82 x Fu(2)o
Fo(h\017)p 2041 2268 228 4 v 2130 2360 a Fu(3)2278 2291
y(\()p Fo(\032C)g Fu(+)22 b Fo(\021)t(S)6 b Fu(\)])800
2550 y(+)84 b(\001)1041 2509 y Fm(2)1091 2401 y Fp(p)p
1174 2401 49 4 v 82 x Fu(2)p Fo(h)p 1091 2527 188 4 v
1160 2619 a Fu(3)1289 2550 y([)1326 2401 y Fp(p)p 1409
2401 49 4 v 82 x Fu(2)p Fo(h)p 1326 2527 188 4 v 1395
2619 a Fu(3)1524 2550 y(\()p Fo(\017)22 b Fu(+)g Fo(\026)p
Fu(\))g Fp(\000)h Fo(\016)t(\032)f Fu(+)g(\(2)p Fo(\016)k
Fp(\000)c Fo(h)p Fu(\))p Fo(S)6 b Fu(\()p Fo(\032S)28
b Fp(\000)23 b Fo(\021)t(C)7 b Fu(\)])32 b(\(3rd)h(order\))13
b(\(52\))94 2801 y(A)37 b(signi\014can)m(t)i(sanit)m(y)f(c)m(hec)m(k)h
(is)f(a)m(v)-5 b(ailable)37 b(at)g(this)g(p)s(oin)m(t.)57
b(The)38 b(sum)g Fo(P)14 b Fu(\()p Fo(\027)2943 2816
y Fn(e)3014 2801 y Fp(!)35 b Fo(\027)3197 2816 y Fn(e)3234
2801 y Fu(\))25 b(+)g Fo(P)14 b Fu(\()p Fo(\027)3561
2816 y Fn(e)3633 2801 y Fp(!)94 2943 y Fo(\027)142 2958
y Fn(\026)189 2943 y Fu(\))21 b(+)h Fo(P)14 b Fu(\()p
Fo(\027)509 2958 y Fn(e)573 2943 y Fp(!)27 b Fo(\027)748
2958 y Fn(\034)791 2943 y Fu(\))h(=)f(1)32 b(should)h(hold,)g(as)f
(indeed,)i(it)e(do)s(es)g(when)i(substituting)f(from)f(Eqs.)i(40,)94
3085 y(50)f(and)f(52.)1889 5753 y(9)p eop end
%%Page: 10 10
TeXDict begin 10 9 bop 94 289 a Fe(5.5)136 b Fd(P)16
b Fc(\()p Fd(\027)596 307 y Fb(\026)683 289 y Fa(!)33
b Fd(\027)894 307 y Fb(\034)944 289 y Fc(\))94 495 y
Fu(This)27 b(can)f(b)s(e)g(written)g(do)m(wn)h(immediately)h(from)d
(the)h(form)m(ulae)g(for)f Fo(P)14 b Fu(\()p Fo(\027)2825
510 y Fn(\026)2899 495 y Fp(!)27 b Fo(\027)3074 510 y
Fn(\026)3121 495 y Fu(\),)g(and)f Fo(P)14 b Fu(\()p Fo(\027)3559
510 y Fn(\026)3633 495 y Fp(!)94 637 y Fo(\027)142 652
y Fn(e)180 637 y Fu(\),)41 b(using)e(unitarit)m(y)i(\()p
Fo(P)14 b Fu(\()p Fo(\027)1162 652 y Fn(\026)1247 637
y Fp(!)39 b Fo(\027)1434 652 y Fn(e)1471 637 y Fu(\))26
b(+)h Fo(P)14 b Fu(\()p Fo(\027)1801 652 y Fn(\026)1886
637 y Fp(!)39 b Fo(\027)2073 652 y Fn(\026)2120 637 y
Fu(\))26 b(+)h Fo(P)14 b Fu(\()p Fo(\027)2450 652 y Fn(\026)2535
637 y Fp(!)39 b Fo(\027)2722 652 y Fn(\034)2765 637 y
Fu(\))g(=)g(1\),)i(where)f(in)g(turn,)94 778 y Fo(P)14
b Fu(\()p Fo(\027)257 793 y Fn(\026)331 778 y Fp(!)28
b Fo(\027)507 793 y Fn(e)544 778 y Fu(\))k(can)h(b)s(e)g(obtained)g
(from)f Fo(P)14 b Fu(\()p Fo(\027)1720 793 y Fn(e)1784
778 y Fp(!)28 b Fo(\027)1960 793 y Fn(\026)2006 778 y
Fu(\))33 b(on)f(making)h(the)g(substitution)h Fo(\021)e
Fp(!)27 b(\000)p Fo(\021)t Fu(.)254 983 y(1)p 254 1027
49 4 v 254 1119 a(4)313 1051 y(\()p Fo(P)14 b Fu(\()p
Fo(\027)514 1066 y Fn(\026)587 1051 y Fp(!)28 b Fo(\027)763
1066 y Fn(\034)806 1051 y Fu(\)\))84 b(=)1135 983 y(1)p
1135 1027 V 1135 1119 a(4)1194 1051 y Fo(S)1260 1009
y Fm(2)1322 1051 y Fu(+)22 b(\001)p Fo(S)6 b(C)h Fu(\()1693
983 y Fo(\016)p 1692 1027 V 1692 1119 a Fu(2)1772 1051
y Fp(\000)1882 983 y Fo(h)p 1882 1027 57 4 v 1886 1119
a Fu(3)1948 1051 y(\))859 b(\(0th)33 b(&)f(1st)h(order\))965
1284 y Fp(\000)83 b Fo(S)1191 1243 y Fm(2)1231 1284 y
Fu([\()p Fo(\026)22 b Fp(\000)1527 1216 y Fo(\032)p 1486
1261 132 4 v 1486 1278 a Fp(p)p 1569 1278 49 4 v 82 x
Fu(2)1628 1284 y(\))1666 1243 y Fm(2)1727 1284 y Fu(+)1835
1216 y(1)p 1835 1261 V 1835 1352 a(2)1894 1284 y(\()p
Fo(\032)1982 1243 y Fm(2)2044 1284 y Fu(+)g Fo(\021)2194
1243 y Fm(2)2233 1284 y Fu(\)])g(+)2428 1216 y(2)p 2428
1261 V 2428 1352 a(3)2487 1284 y(\001)p Fo(S)6 b(h)p
Fu(\()p Fo(\017C)30 b Fu(+)3015 1216 y Fo(\021)p 2975
1261 132 4 v 2975 1278 a Fp(p)p 3058 1278 49 4 v 82 x
Fu(2)3116 1284 y Fo(S)6 b Fu(\))966 1554 y(+)83 b(\001)1206
1513 y Fm(2)1246 1554 y Fu([\(1)22 b Fp(\000)h Fu(2)p
Fo(S)1597 1513 y Fm(2)1636 1554 y Fu(\))p Fo(\016)t Fu(\()1770
1486 y Fo(\016)p 1769 1530 V 1769 1622 a Fu(4)1849 1554
y Fp(\000)1959 1486 y Fo(h)p 1959 1530 57 4 v 1963 1622
a Fu(3)2025 1554 y(\))f(+)g(\(1)g Fp(\000)h Fu(3)p Fo(S)2507
1513 y Fm(2)2546 1554 y Fu(\))2594 1486 y Fo(h)2650 1450
y Fm(2)p 2594 1530 96 4 v 2617 1622 a Fu(9)2699 1554
y(])104 b(\(2nd)32 b(order\))242 b(\(53\))1865 5753 y(10)p
eop end
%%Page: 11 11
TeXDict begin 11 10 bop 94 289 a Fq(6)162 b(Summary)54
b(of)g(Results)124 587 y Fu(1)p 124 632 49 4 v 124 723
a(4)183 655 y(\(1)21 b Fp(\000)i Fo(P)14 b Fu(\()p Fo(\027)554
670 y Fn(e)618 655 y Fp(!)28 b Fo(\027)794 670 y Fn(e)831
655 y Fu(\)\))83 b(=)h Fo(S)1216 614 y Fm(2)1255 655
y Fu(\()p Fo(\032)1343 614 y Fm(2)1405 655 y Fu(+)22
b Fo(\021)1555 614 y Fm(2)1594 655 y Fu(\))g(+)1762 587
y(2)p 1762 632 V 1762 723 a(9)1821 655 y(\001)1902 614
y Fm(2)1942 655 y Fo(h)1998 614 y Fm(2)2731 655 y Fu(\(2nd)33
b(order\))990 888 y(+)84 b(2\001)p Fo(S)6 b(C)h Fu(\()p
Fo(\032)1511 847 y Fm(2)1573 888 y Fu(+)22 b Fo(\021)1723
847 y Fm(2)1762 888 y Fu(\)\()17 b Fo(\016)25 b Fp(\000)2033
821 y Fu(1)p 2033 865 V 2033 956 a(3)2092 888 y Fo(h)p
Fu(\))d(+)2316 821 y(4)p 2316 865 V 2316 956 a(9)2375
888 y(\001)2456 847 y Fm(2)2495 888 y Fo(h)2551 847 y
Fm(2)2591 888 y Fo(\017)98 b Fu(\(3rd)32 b(order\))104
1059 y(1)p 104 1103 V 104 1194 a(4)163 1126 y(\(1)22
b Fp(\000)h Fo(P)14 b Fu(\()p Fo(\027)535 1141 y Fn(\026)609
1126 y Fp(!)27 b Fo(\027)784 1141 y Fn(\026)831 1126
y Fu(\)\))83 b(=)1160 1059 y(1)p 1160 1103 V 1160 1194
a(4)1219 1126 y Fo(S)1285 1085 y Fm(2)1346 1126 y Fu(+)22
b(\001)p Fo(S)6 b(C)h Fu(\()1717 1059 y Fo(\016)p 1716
1103 V 1716 1194 a Fu(2)1797 1126 y Fp(\000)1906 1059
y Fo(h)p 1906 1103 57 4 v 1910 1194 a Fu(3)1973 1126
y(\))859 b(\(0th)32 b(&)h(1st)f(order\))989 1359 y Fp(\000)84
b Fo(S)1216 1318 y Fm(2)1255 1359 y Fu(\()p Fo(\026)22
b Fp(\000)1524 1292 y Fo(\032)p 1484 1336 132 4 v 1484
1354 a Fp(p)p 1567 1354 49 4 v 82 x Fu(2)1625 1359 y(\))1663
1318 y Fm(2)1725 1359 y Fu(+)1833 1292 y(2)p 1833 1336
V 1833 1428 a(3)1892 1359 y(\001)p Fo(S)6 b(C)h(h)p Fu(\()p
Fo(\017)22 b Fu(+)2420 1292 y Fo(\032)p 2379 1336 132
4 v 2379 1354 a Fp(p)p 2462 1354 49 4 v 82 x Fu(2)2521
1359 y(\))990 1629 y(+)84 b(\001)1231 1588 y Fm(2)1271
1629 y Fu([\(1)22 b Fp(\000)g Fu(2)p Fo(S)1621 1588 y
Fm(2)1660 1629 y Fu(\))p Fo(\016)t Fu(\()1794 1562 y
Fo(\016)p 1793 1606 V 1793 1697 a Fu(4)1874 1629 y Fp(\000)1984
1562 y Fo(h)p 1984 1606 57 4 v 1988 1697 a Fu(3)2050
1629 y(\))g(+)g(\(2)g Fp(\000)g Fu(3)p Fo(S)2531 1588
y Fm(2)2570 1629 y Fu(\))2618 1562 y Fo(h)2674 1526 y
Fm(2)p 2618 1606 96 4 v 2642 1697 a Fu(9)2724 1629 y(])103
b(\(2nd)33 b(order\))361 1821 y(1)p 361 1865 49 4 v 361
1956 a(4)419 1888 y Fo(P)14 b Fu(\()p Fo(\027)582 1903
y Fn(e)646 1888 y Fp(!)28 b Fo(\027)822 1903 y Fn(\026)869
1888 y Fu(\))83 b(=)1160 1821 y(1)p 1160 1865 V 1160
1956 a(2)1219 1888 y Fo(S)1285 1847 y Fm(2)1324 1888
y Fu(\()p Fo(\032)1412 1847 y Fm(2)1474 1888 y Fu(+)22
b Fo(\021)1624 1847 y Fm(2)1663 1888 y Fu(\))g(+)g(\001)p
Fo(S)1978 1739 y Fp(p)p 2061 1739 V 82 x Fu(2)p Fo(h)p
1978 1865 188 4 v 2048 1956 a Fu(3)2176 1888 y(\()p Fo(\032C)29
b Fu(+)22 b Fo(\021)t(S)6 b Fu(\))22 b(+)g(\001)2818
1847 y Fm(2)2868 1821 y Fo(h)2924 1784 y Fm(2)p 2868
1865 96 4 v 2891 1956 a Fu(9)3265 1888 y(\(2nd)33 b(order\))990
2100 y(+)84 b Fo(S)1216 2059 y Fm(2)1255 2100 y Fu(\()p
Fo(\032)1343 2059 y Fm(2)1405 2100 y Fu(+)22 b Fo(\021)1555
2059 y Fm(2)1594 2100 y Fu(\)\()p Fo(\026)g Fp(\000)1901
2032 y Fo(\032)p 1861 2077 132 4 v 1861 2095 a Fp(p)p
1944 2095 49 4 v 82 x Fu(2)2002 2100 y(\))990 2381 y(+)84
b(\001)p Fo(S)6 b Fu([\()p Fo(\016)26 b Fp(\000)1541
2313 y Fo(h)p 1541 2358 57 4 v 1545 2449 a Fu(3)1607
2381 y(\)\()p Fo(\032)1733 2340 y Fm(2)1795 2381 y Fu(+)c
Fo(\021)1945 2340 y Fm(2)1984 2381 y Fu(\))p Fo(C)29
b Fu(+)2229 2231 y Fp(p)p 2312 2231 49 4 v 82 x Fu(2)p
Fo(h\017)p 2229 2358 228 4 v 2318 2449 a Fu(3)2466 2381
y(\()p Fo(\032C)g Fu(+)22 b Fo(\021)t(S)6 b Fu(\)])990
2640 y(+)84 b(\001)1231 2599 y Fm(2)1281 2490 y Fp(p)p
1364 2490 49 4 v 82 x Fu(2)o Fo(h)p 1281 2616 188 4 v
1350 2708 a Fu(3)1479 2640 y([)1516 2490 y Fp(p)p 1599
2490 49 4 v 82 x Fu(2)o Fo(h)p 1516 2616 188 4 v 1585
2708 a Fu(3)1714 2640 y(\()p Fo(\017)22 b Fp(\000)h Fo(\026)p
Fu(\))e(+)h Fo(\016)t(\032)h Fp(\000)f Fu(\(2)p Fo(\016)k
Fp(\000)d Fo(h)p Fu(\))p Fo(S)6 b Fu(\()p Fo(\032S)28
b Fp(\000)23 b Fo(\021)t(C)7 b Fu(\)])32 b(\(3rd)g(order\))364
2831 y(1)p 364 2875 49 4 v 364 2967 a(4)423 2899 y Fo(P)14
b Fu(\()p Fo(\027)586 2914 y Fn(e)650 2899 y Fp(!)27
b Fo(\027)825 2914 y Fn(\034)869 2899 y Fu(\))83 b(=)1160
2831 y(1)p 1160 2875 V 1160 2967 a(2)1219 2899 y Fo(S)1285
2857 y Fm(2)1324 2899 y Fu(\()p Fo(\032)1412 2857 y Fm(2)1474
2899 y Fu(+)22 b Fo(\021)1624 2857 y Fm(2)1663 2899 y
Fu(\))g Fp(\000)h Fu(\001)p Fo(S)1980 2749 y Fp(p)p 2063
2749 V 82 x Fu(2)o Fo(h)p 1980 2875 188 4 v 2049 2967
a Fu(3)2178 2899 y(\()p Fo(\032C)29 b Fu(+)22 b Fo(\021)t(S)6
b Fu(\))21 b(+)i(\001)2820 2857 y Fm(2)2869 2831 y Fo(h)2925
2795 y Fm(2)p 2869 2875 96 4 v 2893 2967 a Fu(9)3267
2899 y(\(2nd)33 b(order\))989 3110 y Fp(\000)84 b Fo(S)1216
3069 y Fm(2)1255 3110 y Fu(\()p Fo(\032)1343 3069 y Fm(2)1405
3110 y Fu(+)22 b Fo(\021)1555 3069 y Fm(2)1594 3110 y
Fu(\)\()p Fo(\026)g Fp(\000)1901 3043 y Fo(\032)p 1861
3087 132 4 v 1861 3105 a Fp(p)p 1944 3105 49 4 v 82 x
Fu(2)2002 3110 y(\))990 3391 y(+)84 b(\001)p Fo(S)6 b
Fu([\()p Fo(\016)26 b Fp(\000)1541 3324 y Fo(h)p 1541
3368 57 4 v 1545 3460 a Fu(3)1607 3391 y(\)\()p Fo(\032)1733
3350 y Fm(2)1795 3391 y Fu(+)c Fo(\021)1945 3350 y Fm(2)1984
3391 y Fu(\))p Fo(C)29 b Fp(\000)2230 3242 y(p)p 2313
3242 49 4 v 82 x Fu(2)p Fo(h\017)p 2230 3368 228 4 v
2320 3460 a Fu(3)2468 3391 y(\()p Fo(\032C)g Fu(+)22
b Fo(\021)t(S)6 b Fu(\)])990 3650 y(+)84 b(\001)1231
3609 y Fm(2)1281 3501 y Fp(p)p 1364 3501 49 4 v 82 x
Fu(2)o Fo(h)p 1281 3627 188 4 v 1350 3719 a Fu(3)1479
3650 y([)1516 3501 y Fp(p)p 1599 3501 49 4 v 82 x Fu(2)o
Fo(h)p 1516 3627 188 4 v 1585 3719 a Fu(3)1714 3650 y(\()p
Fo(\017)22 b Fu(+)g Fo(\026)p Fu(\))g Fp(\000)g Fo(\016)t(\032)h
Fu(+)f(\(2)p Fo(\016)k Fp(\000)c Fo(h)p Fu(\))p Fo(S)6
b Fu(\()p Fo(\032S)28 b Fp(\000)23 b Fo(\021)t(C)7 b
Fu(\)])32 b(\(3rd)h(order\))278 3821 y(1)p 278 3865 49
4 v 278 3957 a(4)337 3888 y(\()p Fo(P)14 b Fu(\()p Fo(\027)538
3903 y Fn(\026)612 3888 y Fp(!)27 b Fo(\027)787 3903
y Fn(\034)831 3888 y Fu(\)\))83 b(=)1160 3821 y(1)p 1160
3865 V 1160 3957 a(4)1219 3888 y Fo(S)1285 3847 y Fm(2)1346
3888 y Fu(+)22 b(\001)p Fo(S)6 b(C)h Fu(\()1717 3821
y Fo(\016)p 1716 3865 V 1716 3957 a Fu(2)1797 3888 y
Fp(\000)1906 3821 y Fo(h)p 1906 3865 57 4 v 1910 3957
a Fu(3)1973 3888 y(\))859 b(\(0th)32 b(&)h(1st)f(order\))989
4122 y Fp(\000)84 b Fo(S)1216 4080 y Fm(2)1255 4122 y
Fu([\()p Fo(\026)22 b Fp(\000)1551 4054 y Fo(\032)p 1511
4098 132 4 v 1511 4116 a Fp(p)p 1594 4116 49 4 v 82 x
Fu(2)1652 4122 y(\))1690 4080 y Fm(2)1752 4122 y Fu(+)1860
4054 y(1)p 1860 4098 V 1860 4190 a(2)1919 4122 y(\()p
Fo(\032)2007 4080 y Fm(2)2068 4122 y Fu(+)h Fo(\021)2219
4080 y Fm(2)2258 4122 y Fu(\)])f(+)2453 4054 y(2)p 2453
4098 V 2453 4190 a(3)2512 4122 y(\001)p Fo(S)6 b(h)p
Fu(\()p Fo(\017C)29 b Fu(+)3039 4054 y Fo(\021)p 2999
4098 132 4 v 2999 4116 a Fp(p)p 3082 4116 49 4 v 82 x
Fu(2)3141 4122 y Fo(S)6 b Fu(\))990 4391 y(+)84 b(\001)1231
4350 y Fm(2)1271 4391 y Fu([\(1)22 b Fp(\000)g Fu(2)p
Fo(S)1621 4350 y Fm(2)1660 4391 y Fu(\))p Fo(\016)t Fu(\()1794
4324 y Fo(\016)p 1793 4368 V 1793 4460 a Fu(4)1874 4391
y Fp(\000)1984 4324 y Fo(h)p 1984 4368 57 4 v 1988 4460
a Fu(3)2050 4391 y(\))g(+)g(\(1)g Fp(\000)g Fu(3)p Fo(S)2531
4350 y Fm(2)2570 4391 y Fu(\))2618 4324 y Fo(h)2674 4288
y Fm(2)p 2618 4368 96 4 v 2642 4460 a Fu(9)2724 4391
y(])103 b(\(2nd)33 b(order\))1865 5753 y(11)p eop end
%%Page: 12 12
TeXDict begin 12 11 bop 94 289 a Fq(7)162 b(Discussion)94
529 y Fu(Need)34 b(\014rst)f(to)f(discuss)j Fo(\032)e
Fu(and)g Fo(\021)t Fu(.)241 671 y(As)f(already)g(discussed,)i(one)e(of)
f(the)h(\014rst)g(things)g(to)f(come-out)h(of)f(the)h(study)g(is)g
(that)g(there)94 813 y(is)39 b(no)e(b)s(etter)h(w)m(a)m(y)h(to)e
(determine)i Fo(\016)t Fu(,)g(other)f(than)g(precision)h(measuremen)m
(ts)h(of)d Fo(P)14 b Fu(\()p Fo(\027)3354 828 y Fn(\026)3437
813 y Fp(!)35 b Fo(\027)3620 828 y Fn(\026)3667 813 y
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(observ)-5 b(able.)241 2121 y(The)29 b(electron)g(an)m(ti-neutrino)g
(disapp)s(earance)h(probabilit)m(y)f(at)f(a)g(\(not)g(to)s(o)f(distan)m
(t\))i(reactor)94 2263 y(exp)s(erimen)m(t)35 b(is)f(giv)m(en,)g(again)e
(to)h(leading)g(\(second\))h(order)f(in)g(small)g(quan)m(tities,)i
(from)e(Eq.)g Ff(??)p Fu(,)94 2405 y(b)m(y:)893 2664
y(1)22 b Fp(\000)h Fo(P)14 b Fu(\()p 1179 2611 55 4 v
Fo(\027)1232 2679 y Fn(e)1297 2664 y Fp(!)p 1424 2611
V 27 w Fo(\027)1479 2679 y Fn(e)1516 2664 y Fu(\))27
b Fp(')h Fu(4)p Fp(j)p Fo(U)1829 2679 y Fn(e)p Fm(3)1901
2664 y Fp(j)1929 2622 y Fm(2)1985 2664 y Fu(sin)2105
2622 y Fm(2)2144 2664 y Fu(\001)2225 2679 y Fm(31)2322
2664 y Fu(+)2430 2596 y(8)p 2430 2640 49 4 v 2430 2732
a(9)2489 2664 y Fo(h)2545 2622 y Fm(2)2585 2664 y Fu(\001)2666
2622 y Fm(2)2666 2688 y(31)2741 2664 y Fo(:)791 b Fu(\(59\))94
2996 y Fq(References)1865 5753 y Fu(15)p eop end
%%Trailer

userdict /end-hook known{end-hook}if
%%EOF