C*********************************************************************** SUBROUTINE PYQQBH(WTQQBH) C...Calculates the matrix element for the processes C...g + g or q + qbar -> Q + Q~ + H (normally with Q = t). C...REDUCE output and part of the rest courtesy Z. Kunszt, see C...Z. Kunszt, Nucl. Phys. B247 (1984) 339. COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200) COMMON/LUDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4) COMMON/PYPARS/MSTP(200),PARP(200),MSTI(200),PARI(200) COMMON/PYINT1/MINT(400),VINT(400) COMMON/PYINT2/ISET(200),KFPR(200,2),COEF(200,20),ICOL(40,4,2) SAVE /LUDAT1/,/LUDAT2/ SAVE /PYPARS/,/PYINT1/,/PYINT2/ DIMENSION PP(15,4),CLR(8,8),FM(10,10),RM(8,8),DX(8) DOT(I,J)=PP(I,4)*PP(J,4)-PP(I,1)*PP(J,1)-PP(I,2)*PP(J,2)- &PP(I,3)*PP(J,3) C...Mass parameters. WTQQBH=0. ISUB=MINT(1) SHPR=SQRT(VINT(26))*VINT(1) PQ=PMAS(KFPR(ISUB,2),1) PH=SQRT(VINT(21))*VINT(1) SPQ=PQ**2 SPH=PH**2 C...Set up outgoing kinematics: 1=t, 2=tbar, 3=H. DO 100 I=1,2 PT=SQRT(MAX(0.,VINT(197+5*I))) PP(I,1)=PT*COS(VINT(198+5*I)) PP(I,2)=PT*SIN(VINT(198+5*I)) 100 CONTINUE PP(3,1)=-PP(1,1)-PP(2,1) PP(3,2)=-PP(1,2)-PP(2,2) PMS1=SPQ+PP(1,1)**2+PP(1,2)**2 PMS2=SPQ+PP(2,1)**2+PP(2,2)**2 PMS3=SPH+PP(3,1)**2+PP(3,2)**2 PMT3=SQRT(PMS3) PP(3,3)=PMT3*SINH(VINT(211)) PP(3,4)=PMT3*COSH(VINT(211)) PMS12=(SHPR-PP(3,4))**2-PP(3,3)**2 PP(1,3)=(-PP(3,3)*(PMS12+PMS1-PMS2)+ &VINT(213)*(SHPR-PP(3,4))*VINT(220))/(2.*PMS12) PP(2,3)=-PP(1,3)-PP(3,3) PP(1,4)=SQRT(PMS1+PP(1,3)**2) PP(2,4)=SQRT(PMS2+PP(2,3)**2) C...Set up incoming kinematics and derived momentum combinations. DO 110 I=4,5 PP(I,1)=0. PP(I,2)=0. PP(I,3)=-0.5*SHPR*(-1)**I PP(I,4)=-0.5*SHPR 110 CONTINUE DO 120 J=1,4 PP(6,J)=PP(1,J)+PP(2,J) PP(7,J)=PP(1,J)+PP(3,J) PP(8,J)=PP(1,J)+PP(4,J) PP(9,J)=PP(1,J)+PP(5,J) PP(10,J)=-PP(2,J)-PP(3,J) PP(11,J)=-PP(2,J)-PP(4,J) PP(12,J)=-PP(2,J)-PP(5,J) PP(13,J)=-PP(4,J)-PP(5,J) 120 CONTINUE C...Derived kinematics invariants. X1=DOT(1,2) X2=DOT(1,3) X3=DOT(1,4) X4=DOT(1,5) X5=DOT(2,3) X6=DOT(2,4) X7=DOT(2,5) X8=DOT(3,4) X9=DOT(3,5) X10=DOT(4,5) C...Propagators. SS1=DOT(7,7)-SPQ SS2=DOT(8,8)-SPQ SS3=DOT(9,9)-SPQ SS4=DOT(10,10)-SPQ SS5=DOT(11,11)-SPQ SS6=DOT(12,12)-SPQ SS7=DOT(13,13) DX(1)=SS1*SS6 DX(2)=SS2*SS6 DX(3)=SS2*SS4 DX(4)=SS1*SS5 DX(5)=SS3*SS5 DX(6)=SS3*SS4 DX(7)=SS7*SS1 DX(8)=SS7*SS4 C...Define colour coefficients for g + g -> Q + Q~ + H. IF(ISUB.EQ.121.OR.ISUB.EQ.181.OR.ISUB.EQ.186) THEN DO 140 I=1,3 DO 130 J=1,3 CLR(I,J)=16./3. CLR(I+3,J+3)=16./3. CLR(I,J+3)=-2./3. CLR(I+3,J)=-2./3. 130 CONTINUE 140 CONTINUE DO 160 L=1,2 DO 150 I=1,3 CLR(I,6+L)=-6. CLR(I+3,6+L)=6. CLR(6+L,I)=-6. CLR(6+L,I+3)=6. 150 CONTINUE 160 CONTINUE DO 180 K1=1,2 DO 170 K2=1,2 CLR(6+K1,6+K2)=12. 170 CONTINUE 180 CONTINUE C...Evaluate matrix elements for g + g -> Q + Q~ + H. FM(1,1)=64*PQ**6+16*PQ**4*PH**2+32*PQ**4*(X1+2*X2+X4+X9+2* & X7+X5)+8*PQ**2*PH**2*(-X1-X4+2*X7)+16*PQ**2*(X2*X9+4*X2* & X7+X2*X5-2*X4*X7-2*X9*X7)+8*PH**2*X4*X7-16*X2*X9*X7 FM(1,2)=16*PQ**6+8*PQ**4*(-2*X1+X2-2*X3-2*X4-4*X10+X9-X8+2 & *X7-4*X6+X5)+8*PQ**2*(-2*X1*X2-2*X2*X4-2*X2*X10+X2*X7-2* & X2*X6-2*X3*X7+2*X4*X7+4*X10*X7-X9*X7-X8*X7)+16*X2*X7*(X4+ & X10) FM(1,3)=16*PQ**6-4*PQ**4*PH**2+8*PQ**4*(-2*X1+2*X2-2*X3-4* & X4-8*X10+X9+X8-2*X7-4*X6+2*X5)-(4*PQ**2*PH**2)*(X1+X4+X10 & +X6)+8*PQ**2*(-2*X1*X2-2*X1*X10+X1*X9+X1*X8-2*X1*X5+X2**2 & -4*X2*X4-5*X2*X10+X2*X8-X2*X7-3*X2*X6+X2*X5+X3*X9+2*X3*X7 & -X3*X5+X4*X8+2*X4*X6-3*X4*X5-5*X10*X5+X9*X8+X9*X6+X9*X5+ & X8*X7-4*X6*X5+X5**2)-(16*X2*X5)*(X1+X4+X10+X6) FM(1,4)=16*PQ**6+4*PQ**4*PH**2+16*PQ**4*(-X1+X2-X3-X4+X10- & X9-X8+2*X7+2*X6-X5)+4*PQ**2*PH**2*(X1+X3+X4+X10+2*X7+2*X6 & )+8*PQ**2*(4*X1*X10+4*X1*X7+4*X1*X6+2*X2*X10-X2*X9-X2*X8+ & 4*X2*X7+4*X2*X6-X2*X5+4*X10*X5+4*X7*X5+4*X6*X5)-(8*PH**2* & X1)*(X10+X7+X6)+16*X2*X5*(X10+X7+X6) FM(1,5)=8*PQ**4*(-2*X1-2*X4+X10-X9)+4*PQ**2*(4*X1**2-2*X1* & X2+8*X1*X3+6*X1*X10-2*X1*X9+4*X1*X8+4*X1*X7+4*X1*X6+2*X1* & X5+X2*X10+4*X3*X4-X3*X9+2*X3*X7+3*X4*X8-2*X4*X6+2*X4*X5-4 & *X10*X7+3*X10*X5-3*X9*X6+3*X8*X7-4*X7**2+4*X7*X5)+8*(X1** & 2*X9-X1**2*X8-X1*X2*X7+X1*X2*X6+X1*X3*X9+X1*X3*X5-X1*X4* & X8-X1*X4*X5+X1*X10*X9+X1*X9*X7+X1*X9*X6-X1*X8*X7-X2*X3*X7 & +X2*X4*X6-X2*X10*X7-X2*X7**2+X3*X7*X5-X4*X10*X5-X4*X7*X5- & X4*X6*X5) FM(1,6)=16*PQ**4*(-4*X1-X4+X9-X7)+4*PQ**2*PH**2*(-2*X1-X4- & X7)+16*PQ**2*(-2*X1**2-3*X1*X2-2*X1*X4-3*X1*X9-2*X1*X7-3* & X1*X5-2*X2*X4-2*X7*X5)-8*PH**2*X4*X7+8*(-X1*X2*X9-2*X1*X2 & *X5-X1*X9**2-X1*X9*X5+X2**2*X7-X2*X4*X5+X2*X9*X7-X2*X7*X5 & +X4*X9*X5+X4*X5**2) FM(1,7)=8*PQ**4*(2*X3+X4+3*X10+X9+2*X8+3*X7+6*X6)+2*PQ**2* & PH**2*(-2*X3-X4+3*X10+3*X7+6*X6)+4*PQ**2*(4*X1*X10+4*X1* & X7+8*X1*X6+6*X2*X10+X2*X9+2*X2*X8+6*X2*X7+12*X2*X6-8*X3* & X7+4*X4*X7+4*X4*X6+4*X10*X5+4*X9*X7+4*X9*X6-8*X8*X7+4*X7* & X5+8*X6*X5)+4*PH**2*(-X1*X10-X1*X7-2*X1*X6+2*X3*X7-X4*X7- & X4*X6)+8*X2*(X10*X5+X9*X7+X9*X6-2*X8*X7+X7*X5+2*X6*X5) FM(1,8)=8*PQ**4*(2*X3+X4+3*X10+2*X9+X8+3*X7+6*X6)+2*PQ**2* & PH**2*(-2*X3-X4+2*X10+X7+2*X6)+4*PQ**2*(4*X1*X10-2*X1*X9+ & 2*X1*X8+4*X1*X7+8*X1*X6+5*X2*X10+2*X2*X9+X2*X8+4*X2*X7+8* & X2*X6-X3*X9-8*X3*X7+2*X3*X5+2*X4*X9-X4*X8+4*X4*X7+4*X4*X6 & +4*X4*X5+5*X10*X5+X9**2-X9*X8+2*X9*X7+5*X9*X6+X9*X5-7*X8* & X7+2*X8*X5+2*X7*X5+10*X6*X5)+2*PH**2*(-X1*X10+X3*X7-2*X4* & X7+X4*X6)+4*(-X1*X9**2+X1*X9*X8-2*X1*X9*X5-X1*X8*X5+2*X2* & X10*X5+X2*X9*X7+X2*X9*X6-2*X2*X8*X7+3*X2*X6*X5+X3*X9*X5+ & X3*X5**2+X4*X9*X5-2*X4*X8*X5+2*X4*X5**2) FM(2,2)=16*PQ**6+16*PQ**4*(-X1+X3-X4-X10+X7-X6)+16*PQ**2*( & X3*X10+X3*X7+X3*X6+X4*X7+X10*X7)-16*X3*X10*X7 FM(2,3)=16*PQ**6+8*PQ**4*(-2*X1+X2+2*X3-4*X4-4*X10-X9+X8-2 & *X7-2*X6+X5)+8*PQ**2*(-2*X1*X5+4*X3*X10-X3*X9-X3*X8-2*X3* & X7+2*X3*X6+X3*X5-2*X4*X5-2*X10*X5-2*X6*X5)+16*X3*X5*(X10+ & X6) FM(2,4)=8*PQ**4*(-2*X1-2*X3+X10-X8)+4*PQ**2*(4*X1**2-2*X1* & X2+8*X1*X4+6*X1*X10+4*X1*X9-2*X1*X8+4*X1*X7+4*X1*X6+2*X1* & X5+X2*X10+4*X3*X4+3*X3*X9-2*X3*X7+2*X3*X5-X4*X8+2*X4*X6-4 & *X10*X6+3*X10*X5+3*X9*X6-3*X8*X7-4*X6**2+4*X6*X5)+8*(-X1 & **2*X9+X1**2*X8+X1*X2*X7-X1*X2*X6-X1*X3*X9-X1*X3*X5+X1*X4 & *X8+X1*X4*X5+X1*X10*X8-X1*X9*X6+X1*X8*X7+X1*X8*X6+X2*X3* & X7-X2*X4*X6-X2*X10*X6-X2*X6**2-X3*X10*X5-X3*X7*X5-X3*X6* & X5+X4*X6*X5) FM(2,5)=16*PQ**4*X10+8*PQ**2*(2*X1**2+2*X1*X3+2*X1*X4+2*X1 & *X10+2*X1*X7+2*X1*X6+X3*X7+X4*X6)+8*(-2*X1**3-2*X1**2*X3- & 2*X1**2*X4-2*X1**2*X10-2*X1**2*X7-2*X1**2*X6-2*X1*X3*X4- & X1*X3*X10-2*X1*X3*X6-X1*X4*X10-2*X1*X4*X7-X1*X10**2-X1* & X10*X7-X1*X10*X6-2*X1*X7*X6+X3**2*X7-X3*X4*X7-X3*X4*X6+X3 & *X10*X7+X3*X7**2-X3*X7*X6+X4**2*X6+X4*X10*X6-X4*X7*X6+X4* & X6**2) FM(2,6)=8*PQ**4*(-2*X1+X10-X9-2*X7)+4*PQ**2*(4*X1**2+2*X1* & X2+4*X1*X3+4*X1*X4+6*X1*X10-2*X1*X9+4*X1*X8+8*X1*X6-2*X1* & X5+4*X2*X4+3*X2*X10+2*X2*X7-3*X3*X9-2*X3*X7-4*X4**2-4*X4* & X10+3*X4*X8+2*X4*X6+X10*X5-X9*X6+3*X8*X7+4*X7*X6)+8*(X1** & 2*X9-X1**2*X8-X1*X2*X7+X1*X2*X6+X1*X3*X9+X1*X3*X5+X1*X4* & X9-X1*X4*X8-X1*X4*X5+X1*X10*X9+X1*X9*X6-X1*X8*X7-X2*X3*X7 & -X2*X4*X7+X2*X4*X6-X2*X10*X7+X3*X7*X5-X4**2*X5-X4*X10*X5- & X4*X6*X5) FM(2,7)=8*PQ**4*(X3+2*X4+3*X10+X7+2*X6)+4*PQ**2*(-4*X1*X3- & 2*X1*X4-2*X1*X10+X1*X9-X1*X8-4*X1*X7-2*X1*X6+X2*X3+2*X2* & X4+3*X2*X10+X2*X7+2*X2*X6-6*X3*X4-6*X3*X10-2*X3*X9-2*X3* & X7-4*X3*X6-X3*X5-6*X4**2-6*X4*X10-3*X4*X9-X4*X8-4*X4*X7-2 & *X4*X6-2*X4*X5-3*X10*X9-3*X10*X8-6*X10*X7-6*X10*X6+X10*X5 & +X9*X7-2*X8*X7-2*X8*X6-6*X7*X6+X7*X5-6*X6**2+2*X6*X5)+4*( & -X1**2*X9+X1**2*X8-2*X1*X2*X10-3*X1*X2*X7-3*X1*X2*X6+X1* & X3*X9-X1*X3*X5+X1*X4*X9+X1*X4*X8+X1*X4*X5+X1*X10*X9+X1* & X10*X8-X1*X9*X6+X1*X8*X6+X2*X3*X7-3*X2*X4*X7-X2*X4*X6-3* & X2*X10*X7-3*X2*X10*X6-3*X2*X7*X6-3*X2*X6**2-2*X3*X4*X5-X3 & *X10*X5-X3*X6*X5-X4**2*X5-X4*X10*X5+X4*X6*X5) FM(2,8)=8*PQ**4*(X3+2*X4+3*X10+X7+2*X6)+4*PQ**2*(-4*X1*X3- & 2*X1*X4-2*X1*X10-X1*X9+X1*X8-4*X1*X7-2*X1*X6+X2*X3+2*X2* & X4+X2*X10-X2*X7-2*X2*X6-6*X3*X4-6*X3*X10-2*X3*X9+X3*X8-2* & X3*X7-4*X3*X6+X3*X5-6*X4**2-6*X4*X10-2*X4*X9-4*X4*X7-2*X4 & *X6+2*X4*X5-3*X10*X9-3*X10*X8-6*X10*X7-6*X10*X6+3*X10*X5- & X9*X6-2*X8*X7-3*X8*X6-6*X7*X6+X7*X5-6*X6**2+2*X6*X5)+4*( & X1**2*X9-X1**2*X8-X1*X2*X7+X1*X2*X6-3*X1*X3*X5+X1*X4*X9- & X1*X4*X8-3*X1*X4*X5+X1*X10*X9+X1*X10*X8-2*X1*X10*X5+X1*X9 & *X6+X1*X8*X7+X1*X8*X6-X2*X4*X7+X2*X4*X6-X2*X10*X7-X2*X10* & X6-2*X2*X7*X6-X2*X6**2-3*X3*X4*X5-3*X3*X10*X5+X3*X7*X5-3* & X3*X6*X5-3*X4**2*X5-3*X4*X10*X5-X4*X6*X5) FM(3,3)=64*PQ**6+16*PQ**4*PH**2+32*PQ**4*(X1+X2+2*X3+X8+X6 & +2*X5)+8*PQ**2*PH**2*(-X1+2*X3-X6)+16*PQ**2*(X2*X5-2*X3* & X8-2*X3*X6+4*X3*X5+X8*X5)+8*PH**2*X3*X6-16*X3*X8*X5 FM(3,4)=16*PQ**4*(-4*X1-X3+X8-X6)+4*PQ**2*PH**2*(-2*X1-X3- & X6)+16*PQ**2*(-2*X1**2-3*X1*X2-2*X1*X3-3*X1*X8-2*X1*X6-3* & X1*X5-2*X2*X3-2*X6*X5)-8*PH**2*X3*X6+8*(-X1*X2*X8-2*X1*X2 & *X5-X1*X8**2-X1*X8*X5+X2**2*X6-X2*X3*X5+X2*X8*X6-X2*X6*X5 & +X3*X8*X5+X3*X5**2) FM(3,5)=8*PQ**4*(-2*X1+X10-X8-2*X6)+4*PQ**2*(4*X1**2+2*X1* & X2+4*X1*X3+4*X1*X4+6*X1*X10+4*X1*X9-2*X1*X8+8*X1*X7-2*X1* & X5+4*X2*X3+3*X2*X10+2*X2*X6-4*X3**2-4*X3*X10+3*X3*X9+2*X3 & *X7-3*X4*X8-2*X4*X6+X10*X5+3*X9*X6-X8*X7+4*X7*X6)+8*(-X1 & **2*X9+X1**2*X8+X1*X2*X7-X1*X2*X6-X1*X3*X9+X1*X3*X8-X1*X3 & *X5+X1*X4*X8+X1*X4*X5+X1*X10*X8-X1*X9*X6+X1*X8*X7+X2*X3* & X7-X2*X3*X6-X2*X4*X6-X2*X10*X6-X3**2*X5-X3*X10*X5-X3*X7* & X5+X4*X6*X5) FM(3,6)=16*PQ**6+4*PQ**4*PH**2+16*PQ**4*(-X1-X2+2*X3+2*X4+ & X10-X9-X8-X7-X6+X5)+4*PQ**2*PH**2*(X1+2*X3+2*X4+X10+X7+X6 & )+8*PQ**2*(4*X1*X3+4*X1*X4+4*X1*X10+4*X2*X3+4*X2*X4+4*X2* & X10-X2*X5+4*X3*X5+4*X4*X5+2*X10*X5-X9*X5-X8*X5)-(8*PH**2* & X1)*(X3+X4+X10)+16*X2*X5*(X3+X4+X10) FM(3,7)=8*PQ**4*(3*X3+6*X4+3*X10+X9+2*X8+2*X7+X6)+2*PQ**2* & PH**2*(X3+2*X4+2*X10-2*X7-X6)+4*PQ**2*(4*X1*X3+8*X1*X4+4* & X1*X10+2*X1*X9-2*X1*X8+2*X2*X3+10*X2*X4+5*X2*X10+2*X2*X9+ & X2*X8+2*X2*X7+4*X2*X6-7*X3*X9+2*X3*X8-8*X3*X7+4*X3*X6+4* & X3*X5+5*X4*X8+4*X4*X6+8*X4*X5+5*X10*X5-X9*X8-X9*X6+X9*X5+ & X8**2-X8*X7+2*X8*X6+2*X8*X5)+2*PH**2*(-X1*X10+X3*X7-2*X3* & X6+X4*X6)+4*(-X1*X2*X9-2*X1*X2*X8+X1*X9*X8-X1*X8**2+X2**2 & *X7+2*X2**2*X6+3*X2*X4*X5+2*X2*X10*X5-2*X2*X9*X6+X2*X8*X7 & +X2*X8*X6-2*X3*X9*X5+X3*X8*X5+X4*X8*X5) FM(3,8)=8*PQ**4*(3*X3+6*X4+3*X10+2*X9+X8+2*X7+X6)+2*PQ**2* & PH**2*(3*X3+6*X4+3*X10-2*X7-X6)+4*PQ**2*(4*X1*X3+8*X1*X4+ & 4*X1*X10+4*X2*X3+8*X2*X4+4*X2*X10-8*X3*X9+4*X3*X8-8*X3*X7 & +4*X3*X6+6*X3*X5+4*X4*X8+4*X4*X6+12*X4*X5+6*X10*X5+2*X9* & X5+X8*X5)+4*PH**2*(-X1*X3-2*X1*X4-X1*X10+2*X3*X7-X3*X6-X4 & *X6)+8*X5*(X2*X3+2*X2*X4+X2*X10-2*X3*X9+X3*X8+X4*X8) FM(4,4)=64*PQ**6+16*PQ**4*PH**2+32*PQ**4*(X1+2*X2+X3+X8+2* & X6+X5)+8*PQ**2*PH**2*(-X1-X3+2*X6)+16*PQ**2*(X2*X8+4*X2* & X6+X2*X5-2*X3*X6-2*X8*X6)+8*PH**2*X3*X6-16*X2*X8*X6 FM(4,5)=16*PQ**6+8*PQ**4*(-2*X1+X2-2*X3-2*X4-4*X10-X9+X8-4 & *X7+2*X6+X5)+8*PQ**2*(-2*X1*X2-2*X2*X3-2*X2*X10-2*X2*X7+ & X2*X6+2*X3*X6-2*X4*X6+4*X10*X6-X9*X6-X8*X6)+16*X2*X6*(X3+ & X10) FM(4,6)=16*PQ**6-4*PQ**4*PH**2+8*PQ**4*(-2*X1+2*X2-4*X3-2* & X4-8*X10+X9+X8-4*X7-2*X6+2*X5)-(4*PQ**2*PH**2)*(X1+X3+X10 & +X7)+8*PQ**2*(-2*X1*X2-2*X1*X10+X1*X9+X1*X8-2*X1*X5+X2**2 & -4*X2*X3-5*X2*X10+X2*X9-3*X2*X7-X2*X6+X2*X5+X3*X9+2*X3*X7 & -3*X3*X5+X4*X8+2*X4*X6-X4*X5-5*X10*X5+X9*X8+X9*X6+X8*X7+ & X8*X5-4*X7*X5+X5**2)-(16*X2*X5)*(X1+X3+X10+X7) FM(4,7)=8*PQ**4*(-X3-2*X4-3*X10-2*X9-X8-6*X7-3*X6)+2*PQ**2 & *PH**2*(X3+2*X4-3*X10-6*X7-3*X6)+4*PQ**2*(-4*X1*X10-8*X1* & X7-4*X1*X6-6*X2*X10-2*X2*X9-X2*X8-12*X2*X7-6*X2*X6-4*X3* & X7-4*X3*X6+8*X4*X6-4*X10*X5+8*X9*X6-4*X8*X7-4*X8*X6-8*X7* & X5-4*X6*X5)+4*PH**2*(X1*X10+2*X1*X7+X1*X6+X3*X7+X3*X6-2* & X4*X6)+8*X2*(-X10*X5+2*X9*X6-X8*X7-X8*X6-2*X7*X5-X6*X5) FM(4,8)=8*PQ**4*(-X3-2*X4-3*X10-X9-2*X8-6*X7-3*X6)+2*PQ**2 & *PH**2*(X3+2*X4-2*X10-2*X7-X6)+4*PQ**2*(-4*X1*X10-2*X1*X9 & +2*X1*X8-8*X1*X7-4*X1*X6-5*X2*X10-X2*X9-2*X2*X8-8*X2*X7-4 & *X2*X6+X3*X9-2*X3*X8-4*X3*X7-4*X3*X6-4*X3*X5+X4*X8+8*X4* & X6-2*X4*X5-5*X10*X5+X9*X8+7*X9*X6-2*X9*X5-X8**2-5*X8*X7-2 & *X8*X6-X8*X5-10*X7*X5-2*X6*X5)+2*PH**2*(X1*X10-X3*X7+2*X3 & *X6-X4*X6)+4*(-X1*X9*X8+X1*X9*X5+X1*X8**2+2*X1*X8*X5-2*X2 & *X10*X5+2*X2*X9*X6-X2*X8*X7-X2*X8*X6-3*X2*X7*X5+2*X3*X9* & X5-X3*X8*X5-2*X3*X5**2-X4*X8*X5-X4*X5**2) FM(5,5)=16*PQ**6+16*PQ**4*(-X1-X3+X4-X10-X7+X6)+16*PQ**2*( & X3*X6+X4*X10+X4*X7+X4*X6+X10*X6)-16*X4*X10*X6 FM(5,6)=16*PQ**6+8*PQ**4*(-2*X1+X2-4*X3+2*X4-4*X10+X9-X8-2 & *X7-2*X6+X5)+8*PQ**2*(-2*X1*X5-2*X3*X5+4*X4*X10-X4*X9-X4* & X8+2*X4*X7-2*X4*X6+X4*X5-2*X10*X5-2*X7*X5)+16*X4*X5*(X10+ & X7) FM(5,7)=8*PQ**4*(-2*X3-X4-3*X10-2*X7-X6)+4*PQ**2*(2*X1*X3+ & 4*X1*X4+2*X1*X10+X1*X9-X1*X8+2*X1*X7+4*X1*X6-2*X2*X3-X2* & X4-3*X2*X10-2*X2*X7-X2*X6+6*X3**2+6*X3*X4+6*X3*X10+X3*X9+ & 3*X3*X8+2*X3*X7+4*X3*X6+2*X3*X5+6*X4*X10+2*X4*X8+4*X4*X7+ & 2*X4*X6+X4*X5+3*X10*X9+3*X10*X8+6*X10*X7+6*X10*X6-X10*X5+ & 2*X9*X7+2*X9*X6-X8*X6+6*X7**2+6*X7*X6-2*X7*X5-X6*X5)+4*(- & X1**2*X9+X1**2*X8+2*X1*X2*X10+3*X1*X2*X7+3*X1*X2*X6-X1*X3 & *X9-X1*X3*X8-X1*X3*X5-X1*X4*X8+X1*X4*X5-X1*X10*X9-X1*X10* & X8-X1*X9*X7+X1*X8*X7+X2*X3*X7+3*X2*X3*X6-X2*X4*X6+3*X2* & X10*X7+3*X2*X10*X6+3*X2*X7**2+3*X2*X7*X6+X3**2*X5+2*X3*X4 & *X5+X3*X10*X5-X3*X7*X5+X4*X10*X5+X4*X7*X5) FM(5,8)=8*PQ**4*(-2*X3-X4-3*X10-2*X7-X6)+4*PQ**2*(2*X1*X3+ & 4*X1*X4+2*X1*X10-X1*X9+X1*X8+2*X1*X7+4*X1*X6-2*X2*X3-X2* & X4-X2*X10+2*X2*X7+X2*X6+6*X3**2+6*X3*X4+6*X3*X10+2*X3*X8+ & 2*X3*X7+4*X3*X6-2*X3*X5+6*X4*X10-X4*X9+2*X4*X8+4*X4*X7+2* & X4*X6-X4*X5+3*X10*X9+3*X10*X8+6*X10*X7+6*X10*X6-3*X10*X5+ & 3*X9*X7+2*X9*X6+X8*X7+6*X7**2+6*X7*X6-2*X7*X5-X6*X5)+4*( & X1**2*X9-X1**2*X8-X1*X2*X7+X1*X2*X6+X1*X3*X9-X1*X3*X8+3* & X1*X3*X5+3*X1*X4*X5-X1*X10*X9-X1*X10*X8+2*X1*X10*X5-X1*X9 & *X7-X1*X9*X6-X1*X8*X7-X2*X3*X7+X2*X3*X6+X2*X10*X7+X2*X10* & X6+X2*X7**2+2*X2*X7*X6+3*X3**2*X5+3*X3*X4*X5+3*X3*X10*X5+ & X3*X7*X5+3*X4*X10*X5+3*X4*X7*X5-X4*X6*X5) FM(6,6)=64*PQ**6+16*PQ**4*PH**2+32*PQ**4*(X1+X2+2*X4+X9+X7 & +2*X5)+8*PQ**2*PH**2*(-X1+2*X4-X7)+16*PQ**2*(X2*X5-2*X4* & X9-2*X4*X7+4*X4*X5+X9*X5)+8*PH**2*X4*X7-16*X4*X9*X5 FM(6,7)=8*PQ**4*(-6*X3-3*X4-3*X10-2*X9-X8-X7-2*X6)+2*PQ**2 & *PH**2*(-2*X3-X4-2*X10+X7+2*X6)+4*PQ**2*(-8*X1*X3-4*X1*X4 & -4*X1*X10+2*X1*X9-2*X1*X8-10*X2*X3-2*X2*X4-5*X2*X10-X2*X9 & -2*X2*X8-4*X2*X7-2*X2*X6-5*X3*X9-4*X3*X7-8*X3*X5-2*X4*X9+ & 7*X4*X8-4*X4*X7+8*X4*X6-4*X4*X5-5*X10*X5-X9**2+X9*X8-2*X9 & *X7+X9*X6-2*X9*X5+X8*X7-X8*X5)+2*PH**2*(X1*X10-X3*X7+2*X4 & *X7-X4*X6)+4*(2*X1*X2*X9+X1*X2*X8+X1*X9**2-X1*X9*X8-2*X2 & **2*X7-X2**2*X6-3*X2*X3*X5-2*X2*X10*X5-X2*X9*X7-X2*X9*X6+ & 2*X2*X8*X7-X3*X9*X5-X4*X9*X5+2*X4*X8*X5) FM(6,8)=8*PQ**4*(-6*X3-3*X4-3*X10-X9-2*X8-X7-2*X6)+2*PQ**2 & *PH**2*(-6*X3-3*X4-3*X10+X7+2*X6)+4*PQ**2*(-8*X1*X3-4*X1* & X4-4*X1*X10-8*X2*X3-4*X2*X4-4*X2*X10-4*X3*X9-4*X3*X7-12* & X3*X5-4*X4*X9+8*X4*X8-4*X4*X7+8*X4*X6-6*X4*X5-6*X10*X5-X9 & *X5-2*X8*X5)+4*PH**2*(2*X1*X3+X1*X4+X1*X10+X3*X7+X4*X7-2* & X4*X6)+8*X5*(-2*X2*X3-X2*X4-X2*X10-X3*X9-X4*X9+2*X4*X8) FM(7,7)=72*PQ**4*X10+18*PQ**2*PH**2*X10+8*PQ**2*(X1*X10+9* & X2*X10+7*X3*X7+2*X3*X6+2*X4*X7+7*X4*X6+X10*X5+2*X9*X7+7* & X9*X6+7*X8*X7+2*X8*X6)+2*PH**2*(-X1*X10-7*X3*X7-2*X3*X6-2 & *X4*X7-7*X4*X6)+4*X2*(X10*X5+2*X9*X7+7*X9*X6+7*X8*X7+2*X8 & *X6) FM(7,8)=72*PQ**4*X10+2*PQ**2*PH**2*X10+4*PQ**2*(2*X1*X10+ & 10*X2*X10+7*X3*X9+2*X3*X8+14*X3*X7+4*X3*X6+2*X4*X9+7*X4* & X8+4*X4*X7+14*X4*X6+10*X10*X5+X9**2+7*X9*X8+2*X9*X7+7*X9* & X6+X8**2+7*X8*X7+2*X8*X6)+2*PH**2*(7*X1*X10-7*X3*X7-2*X3* & X6-2*X4*X7-7*X4*X6)+2*(-2*X1*X9**2-14*X1*X9*X8-2*X1*X8**2 & +2*X2*X10*X5+2*X2*X9*X7+7*X2*X9*X6+7*X2*X8*X7+2*X2*X8*X6+ & 7*X3*X9*X5+2*X3*X8*X5+2*X4*X9*X5+7*X4*X8*X5) FM(8,8)=72*PQ**4*X10+18*PQ**2*PH**2*X10+8*PQ**2*(X1*X10+X2 & *X10+7*X3*X9+2*X3*X8+7*X3*X7+2*X3*X6+2*X4*X9+7*X4*X8+2*X4 & *X7+7*X4*X6+9*X10*X5)+2*PH**2*(-X1*X10-7*X3*X7-2*X3*X6-2* & X4*X7-7*X4*X6)+4*X5*(X2*X10+7*X3*X9+2*X3*X8+2*X4*X9+7*X4* & X8) FM(9,9)=-4*PQ**4*X10-PQ**2*PH**2*X10+4*PQ**2*(-X1*X10-X2*X10+ & X3*X7+X4*X6-X10*X5+X9*X6+X8*X7)+PH**2*(X1*X10-X3*X7-X4*X6 & )+2*X2*(-X10*X5+X9*X6+X8*X7) FM(9,10)=-4*PQ**4*X10-PQ**2*PH**2*X10+2*PQ**2*(-2*X1*X10-2*X2* & X10+2*X3*X9+2*X3*X7+2*X4*X6-2*X10*X5+X9*X8+2*X8*X7)+PH**2 & *(X1*X10-X3*X7-X4*X6)+2*(-X1*X9*X8-X2*X10*X5+X2*X8*X7+X3* & X9*X5) FMXX=-4*PQ**4*X10-PQ**2*PH**2*X10+2*PQ**2*(-2*X1*X10-2*X2* & X10+2*X4*X8+2*X4*X6+2*X3*X7-2*X10*X5+X9*X8+2*X9*X6)+PH**2 & *(X1*X10-X3*X7-X4*X6)+2*(-X1*X9*X8-X2*X10*X5+X2*X9*X6+X4* & X8*X5) FM(9,10)=0.5*(FMXX+FM(9,10)) FM(10,10)=-4*PQ**4*X10-PQ**2*PH**2*X10+4*PQ**2*(-X1*X10-X2*X10+ & X3*X7+X4*X6-X10*X5+X9*X3+X8*X4)+PH**2*(X1*X10-X3*X7-X4*X6 & )+2*X5*(-X10*X2+X9*X3+X8*X4) C...Repackage matrix elements. DO 200 I=1,8 DO 190 J=1,8 RM(I,J)=FM(I,J) 190 CONTINUE 200 CONTINUE RM(7,7)=FM(7,7)-2.*FM(9,9) RM(7,8)=FM(7,8)-2.*FM(9,10) RM(8,8)=FM(8,8)-2.*FM(10,10) C...Produce final result: matrix elements * colours * propagators. DO 220 I=1,8 DO 210 J=I,8 FAC=8. IF(I.EQ.J)FAC=4. WTQQBH=WTQQBH+RM(I,J)*FAC*CLR(I,J)/(DX(I)*DX(J)) 210 CONTINUE 220 CONTINUE WTQQBH=-WTQQBH/256. ELSE C...Evaluate matrix elements for q + q~ -> Q + Q~ + H. A11=-8.*PQ**4*X10-2.*PQ**2*PH**2*X10-(8.*PQ**2)*(X2*X10+X3 & *X7+X4*X6+X9*X6+X8*X7)+2.*PH**2*(X3*X7+X4*X6)-(4.*X2)*(X9 & *X6+X8*X7) A12=-8.*PQ**4*X10+4.*PQ**2*(-X2*X10-X3*X9-2.*X3*X7-X4*X8- & 2.*X4*X6-X10*X5-X9*X8-X9*X6-X8*X7)+2.*PH**2*(-X1*X10+X3*X7 & +X4*X6)+2.*(2.*X1*X9*X8-X2*X9*X6-X2*X8*X7-X3*X9*X5-X4*X8* & X5) A22=-8.*PQ**4*X10-2.*PQ**2*PH**2*X10-(8.*PQ**2)*(X3*X9+X3* & X7+X4*X8+X4*X6+X10*X5)+2.*PH**2*(X3*X7+X4*X6)-(4.*X5)*(X3 & *X9+X4*X8) C...Produce final result: matrix elements * propagators. A11=A11/DX(7)**2 A12=A12/(DX(7)*DX(8)) A22=A22/DX(8)**2 WTQQBH=-(A11+A22+2.*A12)/8. ENDIF RETURN END