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Corrections to line for alpha
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2C*********************************************************************
3
4 SUBROUTINE LUXTOT(KFL,ECM,XTOT)
5
6C...Purpose: to calculate total cross-section, including initial
7C...state radiation effects.
8 COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
9 COMMON/LUDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4)
10 SAVE /LUDAT1/,/LUDAT2/
11
12C...Status, (optimized) Q^2 scale, alpha_strong.
13 PARJ(151)=ECM
14 MSTJ(119)=10*MSTJ(102)+KFL
15 IF(MSTJ(111).EQ.0) THEN
16 Q2R=ECM**2
17 ELSEIF(MSTU(111).EQ.0) THEN
18 PARJ(168)=MIN(1.,MAX(PARJ(128),EXP(-12.*PARU(1)/
19 & ((33.-2.*MSTU(112))*PARU(111)))))
20 Q2R=PARJ(168)*ECM**2
21 ELSE
22 PARJ(168)=MIN(1.,MAX(PARJ(128),PARU(112)/ECM,
23 & (2.*PARU(112)/ECM)**2))
24 Q2R=PARJ(168)*ECM**2
25 ENDIF
26 ALSPI=ULALPS(Q2R)/PARU(1)
27
28C...QCD corrections factor in R.
29 IF(MSTJ(101).EQ.0.OR.MSTJ(109).EQ.1) THEN
30 RQCD=1.
31 ELSEIF(IABS(MSTJ(101)).EQ.1.AND.MSTJ(109).EQ.0) THEN
32 RQCD=1.+ALSPI
33 ELSEIF(MSTJ(109).EQ.0) THEN
34 RQCD=1.+ALSPI+(1.986-0.115*MSTU(118))*ALSPI**2
35 IF(MSTJ(111).EQ.1) RQCD=MAX(1.,RQCD+(33.-2.*MSTU(112))/12.*
36 & LOG(PARJ(168))*ALSPI**2)
37 ELSEIF(IABS(MSTJ(101)).EQ.1) THEN
38 RQCD=1.+(3./4.)*ALSPI
39 ELSE
40 RQCD=1.+(3./4.)*ALSPI-(3./32.+0.519*MSTU(118))*ALSPI**2
41 ENDIF
42
43C...Calculate Z0 width if default value not acceptable.
44 IF(MSTJ(102).GE.3) THEN
45 RVA=3.*(3.+(4.*PARU(102)-1.)**2)+6.*RQCD*(2.+(1.-8.*PARU(102)/
46 & 3.)**2+(4.*PARU(102)/3.-1.)**2)
47 DO 100 KFLC=5,6
48 VQ=1.
49 IF(MOD(MSTJ(103),2).EQ.1) VQ=SQRT(MAX(0.,1.-(2.*ULMASS(KFLC)/
50 & ECM)**2))
51 IF(KFLC.EQ.5) VF=4.*PARU(102)/3.-1.
52 IF(KFLC.EQ.6) VF=1.-8.*PARU(102)/3.
53 RVA=RVA+3.*RQCD*(0.5*VQ*(3.-VQ**2)*VF**2+VQ**3)
54 100 CONTINUE
55 PARJ(124)=PARU(101)*PARJ(123)*RVA/(48.*PARU(102)*(1.-PARU(102)))
56 ENDIF
57
58C...Calculate propagator and related constants for QFD case.
59 POLL=1.-PARJ(131)*PARJ(132)
60 IF(MSTJ(102).GE.2) THEN
61 SFF=1./(16.*PARU(102)*(1.-PARU(102)))
62 SFW=ECM**4/((ECM**2-PARJ(123)**2)**2+(PARJ(123)*PARJ(124))**2)
63 SFI=SFW*(1.-(PARJ(123)/ECM)**2)
64 VE=4.*PARU(102)-1.
65 SF1I=SFF*(VE*POLL+PARJ(132)-PARJ(131))
66 SF1W=SFF**2*((VE**2+1.)*POLL+2.*VE*(PARJ(132)-PARJ(131)))
67 HF1I=SFI*SF1I
68 HF1W=SFW*SF1W
69 ENDIF
70
71C...Loop over different flavours: charge, velocity.
72 RTOT=0.
73 RQQ=0.
74 RQV=0.
75 RVA=0.
76 DO 110 KFLC=1,MAX(MSTJ(104),KFL)
77 IF(KFL.GT.0.AND.KFLC.NE.KFL) GOTO 110
78 MSTJ(93)=1
79 PMQ=ULMASS(KFLC)
80 IF(ECM.LT.2.*PMQ+PARJ(127)) GOTO 110
81 QF=KCHG(KFLC,1)/3.
82 VQ=1.
83 IF(MOD(MSTJ(103),2).EQ.1) VQ=SQRT(1.-(2.*PMQ/ECM)**2)
84
85C...Calculate R and sum of charges for QED or QFD case.
86 RQQ=RQQ+3.*QF**2*POLL
87 IF(MSTJ(102).LE.1) THEN
88 RTOT=RTOT+3.*0.5*VQ*(3.-VQ**2)*QF**2*POLL
89 ELSE
90 VF=SIGN(1.,QF)-4.*QF*PARU(102)
91 RQV=RQV-6.*QF*VF*SF1I
92 RVA=RVA+3.*(VF**2+1.)*SF1W
93 RTOT=RTOT+3.*(0.5*VQ*(3.-VQ**2)*(QF**2*POLL-2.*QF*VF*HF1I+
94 & VF**2*HF1W)+VQ**3*HF1W)
95 ENDIF
96 110 CONTINUE
97 RSUM=RQQ
98 IF(MSTJ(102).GE.2) RSUM=RQQ+SFI*RQV+SFW*RVA
99
100C...Calculate cross-section, including QCD corrections.
101 PARJ(141)=RQQ
102 PARJ(142)=RTOT
103 PARJ(143)=RTOT*RQCD
104 PARJ(144)=PARJ(143)
105 PARJ(145)=PARJ(141)*86.8/ECM**2
106 PARJ(146)=PARJ(142)*86.8/ECM**2
107 PARJ(147)=PARJ(143)*86.8/ECM**2
108 PARJ(148)=PARJ(147)
109 PARJ(157)=RSUM*RQCD
110 PARJ(158)=0.
111 PARJ(159)=0.
112 XTOT=PARJ(147)
113 IF(MSTJ(107).LE.0) RETURN
114
115C...Virtual cross-section.
116 XKL=PARJ(135)
117 XKU=MIN(PARJ(136),1.-(2.*PARJ(127)/ECM)**2)
118 ALE=2.*LOG(ECM/ULMASS(11))-1.
119 SIGV=ALE/3.+2.*LOG(ECM**2/(ULMASS(13)*ULMASS(15)))/3.-4./3.+
120 &1.526*LOG(ECM**2/0.932)
121
122C...Soft and hard radiative cross-section in QED case.
123 IF(MSTJ(102).LE.1) THEN
124 SIGV=1.5*ALE-0.5+PARU(1)**2/3.+2.*SIGV
125 SIGS=ALE*(2.*LOG(XKL)-LOG(1.-XKL)-XKL)
126 SIGH=ALE*(2.*LOG(XKU/XKL)-LOG((1.-XKU)/(1.-XKL))-(XKU-XKL))
127
128C...Soft and hard radiative cross-section in QFD case.
129 ELSE
130 SZM=1.-(PARJ(123)/ECM)**2
131 SZW=PARJ(123)*PARJ(124)/ECM**2
132 PARJ(161)=-RQQ/RSUM
133 PARJ(162)=-(RQQ+RQV+RVA)/RSUM
134 PARJ(163)=(RQV*(1.-0.5*SZM-SFI)+RVA*(1.5-SZM-SFW))/RSUM
135 PARJ(164)=(RQV*SZW**2*(1.-2.*SFW)+RVA*(2.*SFI+SZW**2-4.+3.*SZM-
136 & SZM**2))/(SZW*RSUM)
137 SIGV=1.5*ALE-0.5+PARU(1)**2/3.+((2.*RQQ+SFI*RQV)/RSUM)*SIGV+
138 & (SZW*SFW*RQV/RSUM)*PARU(1)*20./9.
139 SIGS=ALE*(2.*LOG(XKL)+PARJ(161)*LOG(1.-XKL)+PARJ(162)*XKL+
140 & PARJ(163)*LOG(((XKL-SZM)**2+SZW**2)/(SZM**2+SZW**2))+
141 & PARJ(164)*(ATAN((XKL-SZM)/SZW)-ATAN(-SZM/SZW)))
142 SIGH=ALE*(2.*LOG(XKU/XKL)+PARJ(161)*LOG((1.-XKU)/(1.-XKL))+
143 & PARJ(162)*(XKU-XKL)+PARJ(163)*LOG(((XKU-SZM)**2+SZW**2)/
144 & ((XKL-SZM)**2+SZW**2))+PARJ(164)*(ATAN((XKU-SZM)/SZW)-
145 & ATAN((XKL-SZM)/SZW)))
146 ENDIF
147
148C...Total cross-section and fraction of hard photon events.
149 PARJ(160)=SIGH/(PARU(1)/PARU(101)+SIGV+SIGS+SIGH)
150 PARJ(157)=RSUM*(1.+(PARU(101)/PARU(1))*(SIGV+SIGS+SIGH))*RQCD
151 PARJ(144)=PARJ(157)
152 PARJ(148)=PARJ(144)*86.8/ECM**2
153 XTOT=PARJ(148)
154
155 RETURN
156 END