Numerical simulation of heavy fermions in an SU(2)L ⊗ SU(2)R symmetric Yukawa model

Abstract An exploratory numerical study of the influence of heavy fermion doublets on the mass of the Higgs boson is performed in the decoupling limit of a chiral SU(2) L ⊗ SU(2) R symmetric Yukawa model with mirror fermions. The behaviour of fermion and boson masses is investigated at infinite bare quartic coupling on 4 3 ·8, 6 3 ·12 and 8 3 ·16 lattices. A first estimate of the upper bound on the renormalized quartic coupling as a function of the renormalized Yukawa coupling is given. On the algorithmic side, several standard fermion matrix inversion methods were tried and tuned for better performance.