FORM by J.Vermaseren,version 3.1(Sep 4 2005) Run at: Thu May 17 08:04:27 2007 #+ * Lagrangian, Eq.18: * Quantization and renormalization of the manifest left-right symmetric * model of electroweak interactions. * P. Duka, J. Gluza, M. Zralek, Annals Phys.280:336-408,2000. * e-Print: hep-ph/9910279 * daje macierz masowa (w polach niefizycznych) #define masy off statistics; s g, gp; s i, j, k; cf DLDeltaLh, DLDeltaL, DRDeltaRh, DRDeltaR, DPhih, DPhi; cf ad,d; cf B, WLh, WL, WRh, WR, DeltaLh, DeltaL, DeltaRh, DeltaR, Phih, Phi; ************************************************************ g exp = sum_(i, 1, 2, sum_(j, 1, 2, DLDeltaLh(i, j)*DLDeltaL(j, i) +DRDeltaRh(i, j)*DRDeltaR(j, i) +DPhih(i, j)*DPhi(j, i))); id DLDeltaLh(i?, j?) = d(DeltaLh(i, j)) -i_*g*sum_(k, 1, 2, WLh(i, k)*DeltaLh(k, j) -DeltaLh(i, k)*WLh(k, j)) +i_*gp*B*DeltaLh(i, j); id DLDeltaL(i?, j?) = d(DeltaL(i, j)) -i_*g*sum_(k, 1, 2, WL(i, k)*DeltaL(k, j) -DeltaL(i, k)*WL(k, j)) -i_*gp*B*DeltaL(i, j); id DRDeltaRh(i?, j?) = d(DeltaRh(i, j)) -i_*g*sum_(k, 1, 2, WRh(i, k)*DeltaRh(k, j) -DeltaRh(i, k)*WRh(k, j)) +i_*gp*B*DeltaRh(i, j); id DRDeltaR(i?, j?) = d(DeltaR(i, j)) -i_*g*sum_(k, 1, 2, WR(i, k)*DeltaR(k, j) -DeltaR(i, k)*WR(k, j)) -i_*gp*B*DeltaR(i, j); id DPhih(i?, j?) = d(Phih(i, j)) -i_*g*sum_(k, 1, 2, WRh(i, k)*Phih(k, j) -Phih(i, k)*WLh(k, j)); id DPhi(i?, j?) = d(Phi(i, j)) -i_*g*sum_(k, 1, 2, WL(i, k)*Phi(k, j)-Phi(i, k)*WR(k, j)); print +s; .sort exp = + d(DeltaLh(1,1))*d(DeltaL(1,1)) - d(DeltaLh(1,1))*B*DeltaL(1,1)*i_*gp - d(DeltaLh(1,1))*WL(1,2)*DeltaL(2,1)*i_*g + d(DeltaLh(1,1))*WL(2,1)*DeltaL(1,2)*i_*g + d(DeltaLh(1,2))*d(DeltaL(2,1)) - d(DeltaLh(1,2))*B*DeltaL(2,1)*i_*gp + d(DeltaLh(1,2))*WL(1,1)*DeltaL(2,1)*i_*g - d(DeltaLh(1,2))*WL(2,1)*DeltaL(1,1)*i_*g + d(DeltaLh(1,2))*WL(2,1)*DeltaL(2,2)*i_*g - d(DeltaLh(1,2))*WL(2,2)*DeltaL(2,1)*i_*g + d(DeltaLh(2,1))*d(DeltaL(1,2)) - d(DeltaLh(2,1))*B*DeltaL(1,2)*i_*gp - d(DeltaLh(2,1))*WL(1,1)*DeltaL(1,2)*i_*g + d(DeltaLh(2,1))*WL(1,2)*DeltaL(1,1)*i_*g - d(DeltaLh(2,1))*WL(1,2)*DeltaL(2,2)*i_*g + d(DeltaLh(2,1))*WL(2,2)*DeltaL(1,2)*i_*g + d(DeltaLh(2,2))*d(DeltaL(2,2)) - d(DeltaLh(2,2))*B*DeltaL(2,2)*i_*gp + d(DeltaLh(2,2))*WL(1,2)*DeltaL(2,1)*i_*g - d(DeltaLh(2,2))*WL(2,1)*DeltaL(1,2)*i_*g + d(DeltaL(1,1))*B*DeltaLh(1,1)*i_*gp - d(DeltaL(1,1))*WLh(1,2)*DeltaLh(2,1)*i_*g + d(DeltaL(1,1))*WLh(2,1)*DeltaLh(1,2)*i_*g + d(DeltaL(1,2))*B*DeltaLh(2,1)*i_*gp + d(DeltaL(1,2))*WLh(1,1)*DeltaLh(2,1)*i_*g - d(DeltaL(1,2))*WLh(2,1)*DeltaLh(1,1)*i_*g + d(DeltaL(1,2))*WLh(2,1)*DeltaLh(2,2)*i_*g - d(DeltaL(1,2))*WLh(2,2)*DeltaLh(2,1)*i_*g + d(DeltaL(2,1))*B*DeltaLh(1,2)*i_*gp - d(DeltaL(2,1))*WLh(1,1)*DeltaLh(1,2)*i_*g + d(DeltaL(2,1))*WLh(1,2)*DeltaLh(1,1)*i_*g - d(DeltaL(2,1))*WLh(1,2)*DeltaLh(2,2)*i_*g + d(DeltaL(2,1))*WLh(2,2)*DeltaLh(1,2)*i_*g + d(DeltaL(2,2))*B*DeltaLh(2,2)*i_*gp + d(DeltaL(2,2))*WLh(1,2)*DeltaLh(2,1)*i_*g - d(DeltaL(2,2))*WLh(2,1)*DeltaLh(1,2)*i_*g + d(DeltaRh(1,1))*d(DeltaR(1,1)) - d(DeltaRh(1,1))*B*DeltaR(1,1)*i_*gp - d(DeltaRh(1,1))*WR(1,2)*DeltaR(2,1)*i_*g + d(DeltaRh(1,1))*WR(2,1)*DeltaR(1,2)*i_*g + d(DeltaRh(1,2))*d(DeltaR(2,1)) - d(DeltaRh(1,2))*B*DeltaR(2,1)*i_*gp + d(DeltaRh(1,2))*WR(1,1)*DeltaR(2,1)*i_*g - d(DeltaRh(1,2))*WR(2,1)*DeltaR(1,1)*i_*g + d(DeltaRh(1,2))*WR(2,1)*DeltaR(2,2)*i_*g - d(DeltaRh(1,2))*WR(2,2)*DeltaR(2,1)*i_*g + d(DeltaRh(2,1))*d(DeltaR(1,2)) - d(DeltaRh(2,1))*B*DeltaR(1,2)*i_*gp - d(DeltaRh(2,1))*WR(1,1)*DeltaR(1,2)*i_*g + d(DeltaRh(2,1))*WR(1,2)*DeltaR(1,1)*i_*g - d(DeltaRh(2,1))*WR(1,2)*DeltaR(2,2)*i_*g + d(DeltaRh(2,1))*WR(2,2)*DeltaR(1,2)*i_*g + d(DeltaRh(2,2))*d(DeltaR(2,2)) - d(DeltaRh(2,2))*B*DeltaR(2,2)*i_*gp + d(DeltaRh(2,2))*WR(1,2)*DeltaR(2,1)*i_*g - d(DeltaRh(2,2))*WR(2,1)*DeltaR(1,2)*i_*g + d(DeltaR(1,1))*B*DeltaRh(1,1)*i_*gp - d(DeltaR(1,1))*WRh(1,2)*DeltaRh(2,1)*i_*g + d(DeltaR(1,1))*WRh(2,1)*DeltaRh(1,2)*i_*g + d(DeltaR(1,2))*B*DeltaRh(2,1)*i_*gp + d(DeltaR(1,2))*WRh(1,1)*DeltaRh(2,1)*i_*g - d(DeltaR(1,2))*WRh(2,1)*DeltaRh(1,1)*i_*g + d(DeltaR(1,2))*WRh(2,1)*DeltaRh(2,2)*i_*g - d(DeltaR(1,2))*WRh(2,2)*DeltaRh(2,1)*i_*g + d(DeltaR(2,1))*B*DeltaRh(1,2)*i_*gp - d(DeltaR(2,1))*WRh(1,1)*DeltaRh(1,2)*i_*g + d(DeltaR(2,1))*WRh(1,2)*DeltaRh(1,1)*i_*g - d(DeltaR(2,1))*WRh(1,2)*DeltaRh(2,2)*i_*g + d(DeltaR(2,1))*WRh(2,2)*DeltaRh(1,2)*i_*g + d(DeltaR(2,2))*B*DeltaRh(2,2)*i_*gp + d(DeltaR(2,2))*WRh(1,2)*DeltaRh(2,1)*i_*g - d(DeltaR(2,2))*WRh(2,1)*DeltaRh(1,2)*i_*g + d(Phih(1,1))*d(Phi(1,1)) - d(Phih(1,1))*WL(1,1)*Phi(1,1)*i_*g - d(Phih(1,1))*WL(1,2)*Phi(2,1)*i_*g + d(Phih(1,1))*WR(1,1)*Phi(1,1)*i_*g + d(Phih(1,1))*WR(2,1)*Phi(1,2)*i_*g + d(Phih(1,2))*d(Phi(2,1)) - d(Phih(1,2))*WL(2,1)*Phi(1,1)*i_*g - d(Phih(1,2))*WL(2,2)*Phi(2,1)*i_*g + d(Phih(1,2))*WR(1,1)*Phi(2,1)*i_*g + d(Phih(1,2))*WR(2,1)*Phi(2,2)*i_*g + d(Phih(2,1))*d(Phi(1,2)) - d(Phih(2,1))*WL(1,1)*Phi(1,2)*i_*g - d(Phih(2,1))*WL(1,2)*Phi(2,2)*i_*g + d(Phih(2,1))*WR(1,2)*Phi(1,1)*i_*g + d(Phih(2,1))*WR(2,2)*Phi(1,2)*i_*g + d(Phih(2,2))*d(Phi(2,2)) - d(Phih(2,2))*WL(2,1)*Phi(1,2)*i_*g - d(Phih(2,2))*WL(2,2)*Phi(2,2)*i_*g + d(Phih(2,2))*WR(1,2)*Phi(2,1)*i_*g + d(Phih(2,2))*WR(2,2)*Phi(2,2)*i_*g + d(Phi(1,1))*WLh(1,1)*Phih(1,1)*i_*g + d(Phi(1,1))*WLh(2,1)*Phih(1,2)*i_*g - d(Phi(1,1))*WRh(1,1)*Phih(1,1)*i_*g - d(Phi(1,1))*WRh(1,2)*Phih(2,1)*i_*g + d(Phi(1,2))*WLh(1,1)*Phih(2,1)*i_*g + d(Phi(1,2))*WLh(2,1)*Phih(2,2)*i_*g - d(Phi(1,2))*WRh(2,1)*Phih(1,1)*i_*g - d(Phi(1,2))*WRh(2,2)*Phih(2,1)*i_*g + d(Phi(2,1))*WLh(1,2)*Phih(1,1)*i_*g + d(Phi(2,1))*WLh(2,2)*Phih(1,2)*i_*g - d(Phi(2,1))*WRh(1,1)*Phih(1,2)*i_*g - d(Phi(2,1))*WRh(1,2)*Phih(2,2)*i_*g + d(Phi(2,2))*WLh(1,2)*Phih(2,1)*i_*g + d(Phi(2,2))*WLh(2,2)*Phih(2,2)*i_*g - d(Phi(2,2))*WRh(2,1)*Phih(1,2)*i_*g - d(Phi(2,2))*WRh(2,2)*Phih(2,2)*i_*g + B^2*DeltaLh(1,1)*DeltaL(1,1)*gp^2 + B^2*DeltaLh(1,2)*DeltaL(2,1)*gp^2 + B^2*DeltaLh(2,1)*DeltaL(1,2)*gp^2 + B^2*DeltaLh(2,2)*DeltaL(2,2)*gp^2 + B^2*DeltaRh(1,1)*DeltaR(1,1)*gp^2 + B^2*DeltaRh(1,2)*DeltaR(2,1)*gp^2 + B^2*DeltaRh(2,1)*DeltaR(1,2)*gp^2 + B^2*DeltaRh(2,2)*DeltaR(2,2)*gp^2 - B*WLh(1,1)*DeltaLh(1,2)*DeltaL(2,1)*g*gp + B*WLh(1,1)*DeltaLh(2,1)*DeltaL(1,2)*g*gp + B*WLh(1,2)*DeltaLh(1,1)*DeltaL(2,1)*g*gp - B*WLh(1,2)*DeltaLh(2,1)*DeltaL(1,1)*g*gp + B*WLh(1,2)*DeltaLh(2,1)*DeltaL(2,2)*g*gp - B*WLh(1,2)*DeltaLh(2,2)*DeltaL(2,1)*g*gp - B*WLh(2,1)*DeltaLh(1,1)*DeltaL(1,2)*g*gp + B*WLh(2,1)*DeltaLh(1,2)*DeltaL(1,1)*g*gp - B*WLh(2,1)*DeltaLh(1,2)*DeltaL(2,2)*g*gp + B*WLh(2,1)*DeltaLh(2,2)*DeltaL(1,2)*g*gp + B*WLh(2,2)*DeltaLh(1,2)*DeltaL(2,1)*g*gp - B*WLh(2,2)*DeltaLh(2,1)*DeltaL(1,2)*g*gp - B*WL(1,1)*DeltaLh(1,2)*DeltaL(2,1)*g*gp + B*WL(1,1)*DeltaLh(2,1)*DeltaL(1,2)*g*gp + B*WL(1,2)*DeltaLh(1,1)*DeltaL(2,1)*g*gp - B*WL(1,2)*DeltaLh(2,1)*DeltaL(1,1)*g*gp + B*WL(1,2)*DeltaLh(2,1)*DeltaL(2,2)*g*gp - B*WL(1,2)*DeltaLh(2,2)*DeltaL(2,1)*g*gp - B*WL(2,1)*DeltaLh(1,1)*DeltaL(1,2)*g*gp + B*WL(2,1)*DeltaLh(1,2)*DeltaL(1,1)*g*gp - B*WL(2,1)*DeltaLh(1,2)*DeltaL(2,2)*g*gp + B*WL(2,1)*DeltaLh(2,2)*DeltaL(1,2)*g*gp + B*WL(2,2)*DeltaLh(1,2)*DeltaL(2,1)*g*gp - B*WL(2,2)*DeltaLh(2,1)*DeltaL(1,2)*g*gp - B*WRh(1,1)*DeltaRh(1,2)*DeltaR(2,1)*g*gp + B*WRh(1,1)*DeltaRh(2,1)*DeltaR(1,2)*g*gp + B*WRh(1,2)*DeltaRh(1,1)*DeltaR(2,1)*g*gp - B*WRh(1,2)*DeltaRh(2,1)*DeltaR(1,1)*g*gp + B*WRh(1,2)*DeltaRh(2,1)*DeltaR(2,2)*g*gp - B*WRh(1,2)*DeltaRh(2,2)*DeltaR(2,1)*g*gp - B*WRh(2,1)*DeltaRh(1,1)*DeltaR(1,2)*g*gp + B*WRh(2,1)*DeltaRh(1,2)*DeltaR(1,1)*g*gp - B*WRh(2,1)*DeltaRh(1,2)*DeltaR(2,2)*g*gp + B*WRh(2,1)*DeltaRh(2,2)*DeltaR(1,2)*g*gp + B*WRh(2,2)*DeltaRh(1,2)*DeltaR(2,1)*g*gp - B*WRh(2,2)*DeltaRh(2,1)*DeltaR(1,2)*g*gp - B*WR(1,1)*DeltaRh(1,2)*DeltaR(2,1)*g*gp + B*WR(1,1)*DeltaRh(2,1)*DeltaR(1,2)*g*gp + B*WR(1,2)*DeltaRh(1,1)*DeltaR(2,1)*g*gp - B*WR(1,2)*DeltaRh(2,1)*DeltaR(1,1)*g*gp + B*WR(1,2)*DeltaRh(2,1)*DeltaR(2,2)*g*gp - B*WR(1,2)*DeltaRh(2,2)*DeltaR(2,1)*g*gp - B*WR(2,1)*DeltaRh(1,1)*DeltaR(1,2)*g*gp + B*WR(2,1)*DeltaRh(1,2)*DeltaR(1,1)*g*gp - B*WR(2,1)*DeltaRh(1,2)*DeltaR(2,2)*g*gp + B*WR(2,1)*DeltaRh(2,2)*DeltaR(1,2)*g*gp + B*WR(2,2)*DeltaRh(1,2)*DeltaR(2,1)*g*gp - B*WR(2,2)*DeltaRh(2,1)*DeltaR(1,2)*g*gp + WLh(1,1)*WL(1,1)*DeltaLh(1,2)*DeltaL(2,1)*g^2 + WLh(1,1)*WL(1,1)*DeltaLh(2,1)*DeltaL(1,2)*g^2 + WLh(1,1)*WL(1,1)*Phih(1,1)*Phi(1,1)*g^2 + WLh(1,1)*WL(1,1)*Phih(2,1)*Phi(1,2)*g^2 - WLh(1,1)*WL(1,2)*DeltaLh(2,1)*DeltaL(1,1)*g^2 + WLh(1,1)*WL(1,2)*DeltaLh(2,1)*DeltaL(2,2)*g^2 + WLh(1,1)*WL(1,2)*Phih(1,1)*Phi(2,1)*g^2 + WLh(1,1)*WL(1,2)*Phih(2,1)*Phi(2,2)*g^2 - WLh(1,1)*WL(2,1)*DeltaLh(1,2)*DeltaL(1,1)*g^2 + WLh(1,1)*WL(2,1)*DeltaLh(1,2)*DeltaL(2,2)*g^2 - WLh(1,1)*WL(2,2)*DeltaLh(1,2)*DeltaL(2,1)*g^2 - WLh(1,1)*WL(2,2)*DeltaLh(2,1)*DeltaL(1,2)*g^2 - WLh(1,1)*WR(1,1)*Phih(1,1)*Phi(1,1)*g^2 - WLh(1,1)*WR(1,2)*Phih(2,1)*Phi(1,1)*g^2 - WLh(1,1)*WR(2,1)*Phih(1,1)*Phi(1,2)*g^2 - WLh(1,1)*WR(2,2)*Phih(2,1)*Phi(1,2)*g^2 - WLh(1,2)*WL(1,1)*DeltaLh(1,1)*DeltaL(2,1)*g^2 + WLh(1,2)*WL(1,1)*DeltaLh(2,2)*DeltaL(2,1)*g^2 - 2*WLh(1,2)*WL(1,2)*DeltaLh(2,1)*DeltaL(2,1)*g^2 + WLh(1,2)*WL(2,1)*DeltaLh(1,1)*DeltaL(1,1)*g^2 - WLh(1,2)*WL(2,1)*DeltaLh(1,1)*DeltaL(2,2)*g^2 + 2*WLh(1,2)*WL(2,1)*DeltaLh(2,1)*DeltaL(1,2)*g^2 - WLh(1,2)*WL(2,1)*DeltaLh(2,2)*DeltaL(1,1)*g^2 + WLh(1,2)*WL(2,1)*DeltaLh(2,2)*DeltaL(2,2)*g^2 + WLh(1,2)*WL(2,1)*Phih(1,1)*Phi(1,1)*g^2 + WLh(1,2)*WL(2,1)*Phih(2,1)*Phi(1,2)*g^2 + WLh(1,2)*WL(2,2)*DeltaLh(1,1)*DeltaL(2,1)*g^2 - WLh(1,2)*WL(2,2)*DeltaLh(2,2)*DeltaL(2,1)*g^2 + WLh(1,2)*WL(2,2)*Phih(1,1)*Phi(2,1)*g^2 + WLh(1,2)*WL(2,2)*Phih(2,1)*Phi(2,2)*g^2 - WLh(1,2)*WR(1,1)*Phih(1,1)*Phi(2,1)*g^2 - WLh(1,2)*WR(1,2)*Phih(2,1)*Phi(2,1)*g^2 - WLh(1,2)*WR(2,1)*Phih(1,1)*Phi(2,2)*g^2 - WLh(1,2)*WR(2,2)*Phih(2,1)*Phi(2,2)*g^2 - WLh(2,1)*WL(1,1)*DeltaLh(1,1)*DeltaL(1,2)*g^2 + WLh(2,1)*WL(1,1)*DeltaLh(2,2)*DeltaL(1,2)*g^2 + WLh(2,1)*WL(1,1)*Phih(1,2)*Phi(1,1)*g^2 + WLh(2,1)*WL(1,1)*Phih(2,2)*Phi(1,2)*g^2 + WLh(2,1)*WL(1,2)*DeltaLh(1,1)*DeltaL(1,1)*g^2 - WLh(2,1)*WL(1,2)*DeltaLh(1,1)*DeltaL(2,2)*g^2 + 2*WLh(2,1)*WL(1,2)*DeltaLh(1,2)*DeltaL(2,1)*g^2 - WLh(2,1)*WL(1,2)*DeltaLh(2,2)*DeltaL(1,1)*g^2 + WLh(2,1)*WL(1,2)*DeltaLh(2,2)*DeltaL(2,2)*g^2 + WLh(2,1)*WL(1,2)*Phih(1,2)*Phi(2,1)*g^2 + WLh(2,1)*WL(1,2)*Phih(2,2)*Phi(2,2)*g^2 - 2*WLh(2,1)*WL(2,1)*DeltaLh(1,2)*DeltaL(1,2)*g^2 + WLh(2,1)*WL(2,2)*DeltaLh(1,1)*DeltaL(1,2)*g^2 - WLh(2,1)*WL(2,2)*DeltaLh(2,2)*DeltaL(1,2)*g^2 - WLh(2,1)*WR(1,1)*Phih(1,2)*Phi(1,1)*g^2 - WLh(2,1)*WR(1,2)*Phih(2,2)*Phi(1,1)*g^2 - WLh(2,1)*WR(2,1)*Phih(1,2)*Phi(1,2)*g^2 - WLh(2,1)*WR(2,2)*Phih(2,2)*Phi(1,2)*g^2 - WLh(2,2)*WL(1,1)*DeltaLh(1,2)*DeltaL(2,1)*g^2 - WLh(2,2)*WL(1,1)*DeltaLh(2,1)*DeltaL(1,2)*g^2 + WLh(2,2)*WL(1,2)*DeltaLh(2,1)*DeltaL(1,1)*g^2 - WLh(2,2)*WL(1,2)*DeltaLh(2,1)*DeltaL(2,2)*g^2 + WLh(2,2)*WL(2,1)*DeltaLh(1,2)*DeltaL(1,1)*g^2 - WLh(2,2)*WL(2,1)*DeltaLh(1,2)*DeltaL(2,2)*g^2 + WLh(2,2)*WL(2,1)*Phih(1,2)*Phi(1,1)*g^2 + WLh(2,2)*WL(2,1)*Phih(2,2)*Phi(1,2)*g^2 + WLh(2,2)*WL(2,2)*DeltaLh(1,2)*DeltaL(2,1)*g^2 + WLh(2,2)*WL(2,2)*DeltaLh(2,1)*DeltaL(1,2)*g^2 + WLh(2,2)*WL(2,2)*Phih(1,2)*Phi(2,1)*g^2 + WLh(2,2)*WL(2,2)*Phih(2,2)*Phi(2,2)*g^2 - WLh(2,2)*WR(1,1)*Phih(1,2)*Phi(2,1)*g^2 - WLh(2,2)*WR(1,2)*Phih(2,2)*Phi(2,1)*g^2 - WLh(2,2)*WR(2,1)*Phih(1,2)*Phi(2,2)*g^2 - WLh(2,2)*WR(2,2)*Phih(2,2)*Phi(2,2)*g^2 - WL(1,1)*WRh(1,1)*Phih(1,1)*Phi(1,1)*g^2 - WL(1,1)*WRh(1,2)*Phih(2,1)*Phi(1,1)*g^2 - WL(1,1)*WRh(2,1)*Phih(1,1)*Phi(1,2)*g^2 - WL(1,1)*WRh(2,2)*Phih(2,1)*Phi(1,2)*g^2 - WL(1,2)*WRh(1,1)*Phih(1,1)*Phi(2,1)*g^2 - WL(1,2)*WRh(1,2)*Phih(2,1)*Phi(2,1)*g^2 - WL(1,2)*WRh(2,1)*Phih(1,1)*Phi(2,2)*g^2 - WL(1,2)*WRh(2,2)*Phih(2,1)*Phi(2,2)*g^2 - WL(2,1)*WRh(1,1)*Phih(1,2)*Phi(1,1)*g^2 - WL(2,1)*WRh(1,2)*Phih(2,2)*Phi(1,1)*g^2 - WL(2,1)*WRh(2,1)*Phih(1,2)*Phi(1,2)*g^2 - WL(2,1)*WRh(2,2)*Phih(2,2)*Phi(1,2)*g^2 - WL(2,2)*WRh(1,1)*Phih(1,2)*Phi(2,1)*g^2 - WL(2,2)*WRh(1,2)*Phih(2,2)*Phi(2,1)*g^2 - WL(2,2)*WRh(2,1)*Phih(1,2)*Phi(2,2)*g^2 - WL(2,2)*WRh(2,2)*Phih(2,2)*Phi(2,2)*g^2 + WRh(1,1)*WR(1,1)*DeltaRh(1,2)*DeltaR(2,1)*g^2 + WRh(1,1)*WR(1,1)*DeltaRh(2,1)*DeltaR(1,2)*g^2 + WRh(1,1)*WR(1,1)*Phih(1,1)*Phi(1,1)*g^2 + WRh(1,1)*WR(1,1)*Phih(1,2)*Phi(2,1)*g^2 - WRh(1,1)*WR(1,2)*DeltaRh(2,1)*DeltaR(1,1)*g^2 + WRh(1,1)*WR(1,2)*DeltaRh(2,1)*DeltaR(2,2)*g^2 - WRh(1,1)*WR(2,1)*DeltaRh(1,2)*DeltaR(1,1)*g^2 + WRh(1,1)*WR(2,1)*DeltaRh(1,2)*DeltaR(2,2)*g^2 + WRh(1,1)*WR(2,1)*Phih(1,1)*Phi(1,2)*g^2 + WRh(1,1)*WR(2,1)*Phih(1,2)*Phi(2,2)*g^2 - WRh(1,1)*WR(2,2)*DeltaRh(1,2)*DeltaR(2,1)*g^2 - WRh(1,1)*WR(2,2)*DeltaRh(2,1)*DeltaR(1,2)*g^2 - WRh(1,2)*WR(1,1)*DeltaRh(1,1)*DeltaR(2,1)*g^2 + WRh(1,2)*WR(1,1)*DeltaRh(2,2)*DeltaR(2,1)*g^2 + WRh(1,2)*WR(1,1)*Phih(2,1)*Phi(1,1)*g^2 + WRh(1,2)*WR(1,1)*Phih(2,2)*Phi(2,1)*g^2 - 2*WRh(1,2)*WR(1,2)*DeltaRh(2,1)*DeltaR(2,1)*g^2 + WRh(1,2)*WR(2,1)*DeltaRh(1,1)*DeltaR(1,1)*g^2 - WRh(1,2)*WR(2,1)*DeltaRh(1,1)*DeltaR(2,2)*g^2 + 2*WRh(1,2)*WR(2,1)*DeltaRh(2,1)*DeltaR(1,2)*g^2 - WRh(1,2)*WR(2,1)*DeltaRh(2,2)*DeltaR(1,1)*g^2 + WRh(1,2)*WR(2,1)*DeltaRh(2,2)*DeltaR(2,2)*g^2 + WRh(1,2)*WR(2,1)*Phih(2,1)*Phi(1,2)*g^2 + WRh(1,2)*WR(2,1)*Phih(2,2)*Phi(2,2)*g^2 + WRh(1,2)*WR(2,2)*DeltaRh(1,1)*DeltaR(2,1)*g^2 - WRh(1,2)*WR(2,2)*DeltaRh(2,2)*DeltaR(2,1)*g^2 - WRh(2,1)*WR(1,1)*DeltaRh(1,1)*DeltaR(1,2)*g^2 + WRh(2,1)*WR(1,1)*DeltaRh(2,2)*DeltaR(1,2)*g^2 + WRh(2,1)*WR(1,2)*DeltaRh(1,1)*DeltaR(1,1)*g^2 - WRh(2,1)*WR(1,2)*DeltaRh(1,1)*DeltaR(2,2)*g^2 + 2*WRh(2,1)*WR(1,2)*DeltaRh(1,2)*DeltaR(2,1)*g^2 - WRh(2,1)*WR(1,2)*DeltaRh(2,2)*DeltaR(1,1)*g^2 + WRh(2,1)*WR(1,2)*DeltaRh(2,2)*DeltaR(2,2)*g^2 + WRh(2,1)*WR(1,2)*Phih(1,1)*Phi(1,1)*g^2 + WRh(2,1)*WR(1,2)*Phih(1,2)*Phi(2,1)*g^2 - 2*WRh(2,1)*WR(2,1)*DeltaRh(1,2)*DeltaR(1,2)*g^2 + WRh(2,1)*WR(2,2)*DeltaRh(1,1)*DeltaR(1,2)*g^2 - WRh(2,1)*WR(2,2)*DeltaRh(2,2)*DeltaR(1,2)*g^2 + WRh(2,1)*WR(2,2)*Phih(1,1)*Phi(1,2)*g^2 + WRh(2,1)*WR(2,2)*Phih(1,2)*Phi(2,2)*g^2 - WRh(2,2)*WR(1,1)*DeltaRh(1,2)*DeltaR(2,1)*g^2 - WRh(2,2)*WR(1,1)*DeltaRh(2,1)*DeltaR(1,2)*g^2 + WRh(2,2)*WR(1,2)*DeltaRh(2,1)*DeltaR(1,1)*g^2 - WRh(2,2)*WR(1,2)*DeltaRh(2,1)*DeltaR(2,2)*g^2 + WRh(2,2)*WR(1,2)*Phih(2,1)*Phi(1,1)*g^2 + WRh(2,2)*WR(1,2)*Phih(2,2)*Phi(2,1)*g^2 + WRh(2,2)*WR(2,1)*DeltaRh(1,2)*DeltaR(1,1)*g^2 - WRh(2,2)*WR(2,1)*DeltaRh(1,2)*DeltaR(2,2)*g^2 + WRh(2,2)*WR(2,2)*DeltaRh(1,2)*DeltaR(2,1)*g^2 + WRh(2,2)*WR(2,2)*DeltaRh(2,1)*DeltaR(1,2)*g^2 + WRh(2,2)*WR(2,2)*Phih(2,1)*Phi(1,2)*g^2 + WRh(2,2)*WR(2,2)*Phih(2,2)*Phi(2,2)*g^2 ; ************************************************************ s sq2; s ka1,ka2, vr,kap; cf wlp, wlm, wrp, wrm, wl3, wr3; cf deltal0, deltalp, deltalpp; cf deltal0h, deltalm, deltalmm; cf deltar0, deltarp, deltarpp; cf deltar0h, deltarm, deltarmm; cf phi1p, phi1m, phi2p, phi2m, phi10, phi10h, phi20, phi20h; id WLh(i?, j?) = WL(i, j); id WRh(i?, j?) = WR(i, j); id WL(1, 1) = wl3/2; id WL(1, 2) = wlp/sq2; id WL(2, 1) = wlm/sq2; id WL(2, 2) = -wl3/2; id WR(1, 1) = wr3/2; id WR(1, 2) = wrp/sq2; id WR(2, 1) = wrm/sq2; id WR(2, 2) = -wr3/2; id DeltaL(1, 1) = deltalp/sq2; id DeltaL(1, 2) = deltalpp; id DeltaL(2, 1) = deltal0; id DeltaL(2, 2) = -deltalp/sq2; id DeltaLh(1, 1) = deltalm/sq2; id DeltaLh(1, 2) = deltal0h; id DeltaLh(2, 1) = deltalmm; id DeltaLh(2, 2) = -deltalm/sq2; id DeltaR(1, 1) = deltarp/sq2; id DeltaR(1, 2) = deltarpp; id DeltaR(2, 1) = vr/sq2+deltar0; id DeltaR(2, 2) = -deltarp/sq2; id DeltaRh(1, 1) = deltarm/sq2; id DeltaRh(1, 2) = vr/sq2+deltar0h; id DeltaRh(2, 1) = deltarmm; id DeltaRh(2, 2) = -deltarm/sq2; id Phi(1, 1) = phi10+ka1/sq2; id Phi(1, 2) = phi1p; id Phi(2, 1) = phi2m; id Phi(2, 2) = phi20+ka2/sq2; id Phih(1, 1) = phi10h+ka1/sq2; id Phih(1, 2) = phi2p; id Phih(2, 1) = phi1m; id Phih(2, 2) = phi20h+ka2/sq2; id d(DeltaL(1, 1)) = d(deltalp)/sq2; id d(DeltaL(1, 2)) = d(deltalpp); id d(DeltaL(2, 1)) = d(deltal0); id d(DeltaL(2, 2)) = -d(deltalp)/sq2; id d(DeltaLh(1, 1)) = d(deltalm)/sq2; id d(DeltaLh(1, 2)) = d(deltal0h); id d(DeltaLh(2, 1)) = d(deltalmm); id d(DeltaLh(2, 2)) = -d(deltalm)/sq2; id d(DeltaR(1, 1)) = d(deltarp)/sq2; id d(DeltaR(1, 2)) = d(deltarpp); id d(DeltaR(2, 1)) = d(deltar0); id d(DeltaR(2, 2)) = -d(deltarp)/sq2; id d(DeltaRh(1, 1)) = d(deltarm)/sq2; id d(DeltaRh(1, 2)) = d(deltar0h); id d(DeltaRh(2, 1)) = d(deltarmm); id d(DeltaRh(2, 2)) = -d(deltarm)/sq2; id d(Phi(1, 1)) = d(phi10); id d(Phi(1, 2)) = d(phi1p); id d(Phi(2, 1)) = d(phi2m); id d(Phi(2, 2)) = d(phi20); id d(Phih(1, 1)) = d(phi10h); id d(Phih(1, 2)) = d(phi2p); id d(Phih(2, 1)) = d(phi1m); id d(Phih(2, 2)) = d(phi20h); id 1/sq2^2 = 1/2; *print +s; *.end .sort set higgsy: deltal0, deltalp, deltalpp,deltal0h, deltalm, deltalmm,deltar0, delt arp, deltarpp, deltar0h, deltarm, deltarmm,phi1p, phi1m, phi2p, phi2m, phi10, phi10h, phi20, ph i20h; #ifdef `masy' id deltalpp?higgsy =0; if (match(d(deltalp?higgsy)) !=0); discard; endif; b wr3,wl3,B,wrp,wrm,wlp,wlm; print +s; *.end #else #endif .sort exp = + B^2 * ( + 1/2*gp^2*vr^2 ) + B*wr3 * ( - g*gp*vr^2 ) + wlp*wlm * ( + 1/4*g^2*ka2^2 + 1/4*g^2*ka1^2 ) + wlp*wrm * ( - 1/2*g^2*ka1*ka2 ) + wlm*wrp * ( - 1/2*g^2*ka1*ka2 ) + wrp*wrm * ( + 1/2*g^2*vr^2 + 1/4*g^2*ka2^2 + 1/4*g^2*ka1^2 ) + wl3^2 * ( + 1/8*g^2*ka2^2 + 1/8*g^2*ka1^2 ) + wl3*wr3 * ( - 1/4*g^2*ka2^2 - 1/4*g^2*ka1^2 ) + wr3^2 * ( + 1/2*g^2*vr^2 + 1/8*g^2*ka2^2 + 1/8*g^2*ka1^2 ); .end