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SUBROUTINE SMATRIX2(P,ANS_SUMMED)
C
C Generated by MadGraph5_aMC@NLO v. %(version)s, %(date)s
C By the MadGraph5_aMC@NLO Development Team
C Visit launchpad.net/madgraph5 and amcatnlo.web.cern.ch
C
C
C Return the sum of the split orders which are required in
C orders.inc (NLO_ORDERS)
C
C
C Process: g d~ > w+ u~ [ all = QCD QED ] QCD^2<=2 QED^2<=2
C Process: g s~ > w+ c~ [ all = QCD QED ] QCD^2<=2 QED^2<=2
C
C
C CONSTANTS
C
IMPLICIT NONE
INTEGER NEXTERNAL
PARAMETER (NEXTERNAL=4)
INTEGER NSQAMPSO
PARAMETER (NSQAMPSO=1)
C
C ARGUMENTS
C
REAL*8 P(0:3,NEXTERNAL), ANS_SUMMED
C
C VARIABLES
C
INTEGER I,J
REAL*8 ANS(0:NSQAMPSO)
LOGICAL KEEP_ORDER(NSQAMPSO), FIRSTTIME
INCLUDE 'orders.inc'
DATA KEEP_ORDER / NSQAMPSO*.TRUE. /
DATA FIRSTTIME / .TRUE. /
INTEGER AMP_ORDERS(NSPLITORDERS)
DOUBLE PRECISION ANS_MAX, TINY
PARAMETER (TINY = 1D-12)
DOUBLE PRECISION WGT_ME_BORN,WGT_ME_REAL
COMMON /C_WGT_ME_TREE/ WGT_ME_BORN,WGT_ME_REAL
C
C FUNCTIONS
C
INTEGER GETORDPOWFROMINDEX2
INTEGER ORDERS_TO_AMP_SPLIT_POS
C
C BEGIN CODE
C
C look for orders which match the nlo order constraint
IF (FIRSTTIME) THEN
DO I = 1, NSQAMPSO
DO J = 1, NSPLITORDERS
IF(GETORDPOWFROMINDEX2(J, I) .GT. NLO_ORDERS(J)) THEN
KEEP_ORDER(I) = .FALSE.
EXIT
ENDIF
ENDDO
IF (KEEP_ORDER(I)) THEN
WRITE(*,*) 'REAL 2: keeping split order ', I
ELSE
WRITE(*,*) 'REAL 2: not keeping split order ', I
ENDIF
ENDDO
FIRSTTIME = .FALSE.
ENDIF
CALL SMATRIX2_SPLITORDERS(P,ANS)
ANS_SUMMED = 0D0
ANS_MAX = 0D0
C reset the amp_split array
AMP_SPLIT(1:AMP_SPLIT_SIZE) = 0D0
DO I = 1, NSQAMPSO
ANS_MAX = MAX(DABS(ANS(I)),ANS_MAX)
ENDDO
DO I = 1, NSQAMPSO
IF (KEEP_ORDER(I)) THEN
ANS_SUMMED = ANS_SUMMED + ANS(I)
C keep track of the separate pieces correspoinding to
C different coupling combinations
DO J = 1, NSPLITORDERS
AMP_ORDERS(J) = GETORDPOWFROMINDEX2(J, I)
ENDDO
IF (ABS(ANS(I)).GT.ANS_MAX*TINY)
$ AMP_SPLIT(ORDERS_TO_AMP_SPLIT_POS(AMP_ORDERS)) = ANS(I)
ENDIF
ENDDO
C avoid fake non-zeros
IF (DABS(ANS_SUMMED).LT.TINY*ANS_MAX) ANS_SUMMED=0D0
WGT_ME_REAL = ANS_SUMMED
END
SUBROUTINE SMATRIX2_SPLITORDERS(P,ANS)
C
C Generated by MadGraph5_aMC@NLO v. %(version)s, %(date)s
C By the MadGraph5_aMC@NLO Development Team
C Visit launchpad.net/madgraph5 and amcatnlo.web.cern.ch
C
C Returns amplitude squared summed/avg over colors
C and helicities
C for the point in phase space P(0:3,NEXTERNAL)
C
C Process: g d~ > w+ u~ [ all = QCD QED ] QCD^2<=2 QED^2<=2
C Process: g s~ > w+ c~ [ all = QCD QED ] QCD^2<=2 QED^2<=2
C
IMPLICIT NONE
C
C CONSTANTS
C
INCLUDE 'nexternal.inc'
INTEGER NCOMB
PARAMETER ( NCOMB=24)
INTEGER NSQAMPSO
PARAMETER (NSQAMPSO=1)
C
C ARGUMENTS
C
REAL*8 P(0:3,NEXTERNAL),ANS(0:NSQAMPSO)
C
C LOCAL VARIABLES
C
INTEGER IHEL,IDEN,I,J,T_IDENT(NCOMB)
REAL*8 T(0:NSQAMPSO),T_SAVE(NCOMB,0:NSQAMPSO)
SAVE T_SAVE,T_IDENT
INTEGER NHEL(NEXTERNAL,NCOMB)
DATA (NHEL(I, 1),I=1,4) /-1,-1,-1, 1/
DATA (NHEL(I, 2),I=1,4) /-1,-1,-1,-1/
DATA (NHEL(I, 3),I=1,4) /-1,-1, 0, 1/
DATA (NHEL(I, 4),I=1,4) /-1,-1, 0,-1/
DATA (NHEL(I, 5),I=1,4) /-1,-1, 1, 1/
DATA (NHEL(I, 6),I=1,4) /-1,-1, 1,-1/
DATA (NHEL(I, 7),I=1,4) /-1, 1,-1, 1/
DATA (NHEL(I, 8),I=1,4) /-1, 1,-1,-1/
DATA (NHEL(I, 9),I=1,4) /-1, 1, 0, 1/
DATA (NHEL(I, 10),I=1,4) /-1, 1, 0,-1/
DATA (NHEL(I, 11),I=1,4) /-1, 1, 1, 1/
DATA (NHEL(I, 12),I=1,4) /-1, 1, 1,-1/
DATA (NHEL(I, 13),I=1,4) / 1,-1,-1, 1/
DATA (NHEL(I, 14),I=1,4) / 1,-1,-1,-1/
DATA (NHEL(I, 15),I=1,4) / 1,-1, 0, 1/
DATA (NHEL(I, 16),I=1,4) / 1,-1, 0,-1/
DATA (NHEL(I, 17),I=1,4) / 1,-1, 1, 1/
DATA (NHEL(I, 18),I=1,4) / 1,-1, 1,-1/
DATA (NHEL(I, 19),I=1,4) / 1, 1,-1, 1/
DATA (NHEL(I, 20),I=1,4) / 1, 1,-1,-1/
DATA (NHEL(I, 21),I=1,4) / 1, 1, 0, 1/
DATA (NHEL(I, 22),I=1,4) / 1, 1, 0,-1/
DATA (NHEL(I, 23),I=1,4) / 1, 1, 1, 1/
DATA (NHEL(I, 24),I=1,4) / 1, 1, 1,-1/
LOGICAL GOODHEL(NCOMB)
DATA GOODHEL/NCOMB*.FALSE./
INTEGER NTRY
DATA NTRY/0/
DATA IDEN/96/
C ----------
C BEGIN CODE
C ----------
NTRY=NTRY+1
DO I=0,NSQAMPSO
ANS(I) = 0D0
ENDDO
DO IHEL=1,NCOMB
IF (GOODHEL(IHEL) .OR. NTRY .LT. 2) THEN
IF (NTRY.LT.2) THEN
C for the first ps-point, check for helicities that give
C identical matrix elements
CALL MATRIX_2(P ,NHEL(1,IHEL),T)
DO I=0,NSQAMPSO
T_SAVE(IHEL,I)=T(I)
ENDDO
T_IDENT(IHEL)=-1
DO I=1,IHEL-1
IF (T(0).EQ.0D0) EXIT
IF (T_SAVE(I,0).EQ.0D0) CYCLE
DO J = 0, NSQAMPSO
IF (ABS(T(J)/T_SAVE(I,J)-1D0) .GT. 1D-12) GOTO 444
ENDDO
T_IDENT(IHEL) = I
444 CONTINUE
ENDDO
ELSE
IF (T_IDENT(IHEL).GT.0) THEN
C if two helicity states are identical, dont recompute
DO I=0,NSQAMPSO
T(I)=T_SAVE(T_IDENT(IHEL),I)
T_SAVE(IHEL,I)=T(I)
ENDDO
ELSE
CALL MATRIX_2(P ,NHEL(1,IHEL),T)
DO I=0,NSQAMPSO
T_SAVE(IHEL,I)=T(I)
ENDDO
ENDIF
ENDIF
C add to the sum of helicities
DO I=1,NSQAMPSO !keep loop from 1!!
ANS(I)=ANS(I)+T(I)
ENDDO
IF (T(0) .NE. 0D0 .AND. .NOT. GOODHEL(IHEL)) THEN
GOODHEL(IHEL)=.TRUE.
ENDIF
ENDIF
ENDDO
DO I=1,NSQAMPSO
ANS(I)=ANS(I)/DBLE(IDEN)
ANS(0)=ANS(0)+ANS(I)
ENDDO
END
SUBROUTINE MATRIX_2(P,NHEL,RES)
C
C Generated by MadGraph5_aMC@NLO v. %(version)s, %(date)s
C By the MadGraph5_aMC@NLO Development Team
C Visit launchpad.net/madgraph5 and amcatnlo.web.cern.ch
C
C Returns amplitude squared summed/avg over colors
C for the point with external lines W(0:6,NEXTERNAL)
C
C Process: g d~ > w+ u~ [ all = QCD QED ] QCD^2<=2 QED^2<=2
C Process: g s~ > w+ c~ [ all = QCD QED ] QCD^2<=2 QED^2<=2
C
IMPLICIT NONE
C
C CONSTANTS
C
INTEGER NGRAPHS
PARAMETER (NGRAPHS=2)
INTEGER NWAVEFUNCS, NCOLOR
PARAMETER (NWAVEFUNCS=5, NCOLOR=1)
INTEGER NAMPSO, NSQAMPSO
PARAMETER (NAMPSO=1, NSQAMPSO=1)
REAL*8 ZERO
PARAMETER (ZERO=0D0)
COMPLEX*16 IMAG1
PARAMETER (IMAG1=(0D0,1D0))
INCLUDE 'nexternal.inc'
INCLUDE 'coupl.inc'
C
C ARGUMENTS
C
REAL*8 P(0:3,NEXTERNAL)
INTEGER NHEL(NEXTERNAL)
REAL*8 RES(0:NSQAMPSO)
C
C LOCAL VARIABLES
C
INTEGER I,J,M,N
INTEGER IC(NEXTERNAL)
DATA IC /NEXTERNAL*1/
REAL*8 CF(NCOLOR,NCOLOR)
COMPLEX*16 ZTEMP, AMP(NGRAPHS), JAMP(NCOLOR,NAMPSO), W(8
$ ,NWAVEFUNCS)
COMPLEX*16 TMP_JAMP(0)
C
C FUNCTION
C
INTEGER SQSOINDEX2
C
C COLOR DATA
C
DATA (CF(I, 1),I= 1, 1) /4.000000000000000D+00/
C 1 T(1,2,4)
C ----------
C BEGIN CODE
C ----------
CALL VXXXXX(P(0,1),ZERO,NHEL(1),-1*IC(1),W(1,1))
CALL OXXXXX(P(0,2),ZERO,NHEL(2),-1*IC(2),W(1,2))
CALL VXXXXX(P(0,3),MDL_MW,NHEL(3),+1*IC(3),W(1,3))
CALL IXXXXX(P(0,4),ZERO,NHEL(4),-1*IC(4),W(1,4))
CALL FFV1_1(W(1,2),W(1,1),GC_5,ZERO,ZERO,W(1,5))
C Amplitude(s) for diagram number 1
CALL FFV2_0(W(1,4),W(1,5),W(1,3),GC_11,AMP(1))
CALL FFV1_2(W(1,4),W(1,1),GC_5,ZERO,ZERO,W(1,5))
C Amplitude(s) for diagram number 2
CALL FFV2_0(W(1,5),W(1,2),W(1,3),GC_11,AMP(2))
C JAMPs contributing to orders QCD=1 QED=1
JAMP(1,1) = (-1.000000000000000D+00)*AMP(1)+(-1.000000000000000D
$ +00)*AMP(2)
DO I=0,NSQAMPSO
RES(I)=0D0
ENDDO
DO M = 1, NAMPSO
DO I = 1, NCOLOR
ZTEMP = (0.D0,0.D0)
DO J = 1, NCOLOR
ZTEMP = ZTEMP + CF(J,I)*JAMP(J,M)
ENDDO
DO N = 1, NAMPSO
RES(SQSOINDEX2(M,N)) = RES(SQSOINDEX2(M,N)) + ZTEMP
$ *DCONJG(JAMP(I,N))
ENDDO
ENDDO
ENDDO
DO I=1,NSQAMPSO
RES(0)=RES(0)+RES(I)
ENDDO
END
C
C Helper functions to deal with the split orders.
C
INTEGER FUNCTION SQSOINDEX2(AMPORDERA,AMPORDERB)
C
C This functions plays the role of the interference matrix. It can
C be hardcoded or
C made more elegant using hashtables if its execution speed ever
C becomes a relevant
C factor. From two split order indices of the jamps, it return the
C corresponding
C index in the squared order canonical ordering.
C
C CONSTANTS
C
IMPLICIT NONE
INTEGER NAMPSO, NSQAMPSO
PARAMETER (NAMPSO=1, NSQAMPSO=1)
INTEGER NSPLITORDERS
PARAMETER (NSPLITORDERS=2)
C
C ARGUMENTS
C
INTEGER AMPORDERA, AMPORDERB
C
C LOCAL VARIABLES
C
INTEGER I, SQORDERS(NSPLITORDERS)
INTEGER AMPSPLITORDERS(NAMPSO,NSPLITORDERS)
DATA (AMPSPLITORDERS( 1,I),I= 1, 2) / 1, 1/
C
C FUNCTION
C
INTEGER SQSOINDEX_FROM_ORDERS2
C
C BEGIN CODE
C
DO I=1,NSPLITORDERS
SQORDERS(I)=AMPSPLITORDERS(AMPORDERA,I)
$ +AMPSPLITORDERS(AMPORDERB,I)
ENDDO
SQSOINDEX2=SQSOINDEX_FROM_ORDERS2(SQORDERS)
END
INTEGER FUNCTION SQSOINDEX_FROM_ORDERS2(ORDERS)
C
C From a list of values for the split orders, this function
C returns the
C corresponding index in the squared orders canonical ordering.
C
IMPLICIT NONE
INTEGER NSQAMPSO
PARAMETER (NSQAMPSO=1)
INTEGER NSPLITORDERS
PARAMETER (NSPLITORDERS=2)
C
C ARGUMENTS
C
INTEGER ORDERS(NSPLITORDERS)
C
C LOCAL VARIABLES
C
INTEGER I,J
INTEGER SQSPLITORDERS(NSQAMPSO,NSPLITORDERS)
C the values listed below are for QCD, QED
DATA (SQSPLITORDERS( 1,I),I= 1, 2) / 2, 2/
C
C BEGIN CODE
C
DO I=1,NSQAMPSO
DO J=1,NSPLITORDERS
IF (ORDERS(J).NE.SQSPLITORDERS(I,J)) GOTO 1009
ENDDO
SQSOINDEX_FROM_ORDERS2 = I
RETURN
1009 CONTINUE
ENDDO
WRITE(*,*) 'ERROR:: Stopping function sqsoindex_from_orders'
WRITE(*,*) 'Could not find squared orders ',(ORDERS(I),I=1
$ ,NSPLITORDERS)
STOP
END
INTEGER FUNCTION GETORDPOWFROMINDEX2(IORDER, INDX)
C
C Return the power of the IORDER-th order appearing at position
C INDX
C in the split-orders output
C
IMPLICIT NONE
INTEGER NSQAMPSO
PARAMETER (NSQAMPSO=1)
INTEGER NSPLITORDERS
PARAMETER (NSPLITORDERS=2)
C
C ARGUMENTS
C
INTEGER IORDER, INDX
C
C LOCAL VARIABLES
C
INTEGER I
INTEGER SQSPLITORDERS(NSQAMPSO,NSPLITORDERS)
C the values listed below are for QCD, QED
DATA (SQSPLITORDERS( 1,I),I= 1, 2) / 2, 2/
C
C BEGIN CODE
C
IF (IORDER.GT.NSPLITORDERS.OR.IORDER.LT.1) THEN
WRITE(*,*) 'INVALID IORDER 2', IORDER
WRITE(*,*) 'SHOULD BE BETWEEN 1 AND ', NSPLITORDERS
STOP
ENDIF
IF (INDX.GT.NSQAMPSO.OR.INDX.LT.1) THEN
WRITE(*,*) 'INVALID INDX 2', INDX
WRITE(*,*) 'SHOULD BE BETWEEN 1 AND ', NSQAMPSO
STOP
ENDIF
GETORDPOWFROMINDEX2=SQSPLITORDERS(INDX, IORDER)
END
SUBROUTINE GET_NSQSO_REAL2(NSQSO)
C
C Simple subroutine returning the number of squared split order
C contributions returned in ANS when calling SMATRIX_SPLITORDERS
C
IMPLICIT NONE
INTEGER NSQAMPSO
PARAMETER (NSQAMPSO=1)
INTEGER NSQSO
NSQSO=NSQAMPSO
END
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