Numerical simulation of heavy fermions in an SU(2)_L x SU(2)_R symmetric Yukawa model

TL;DR

This paper uses numerical simulations to explore how heavy fermion doublets affect the Higgs boson mass within a chiral SU(2)_L x SU(2)_R symmetric Yukawa model, providing insights into upper bounds on couplings.

Contribution

It presents the first numerical investigation of heavy fermion effects on Higgs mass in a chiral symmetric Yukawa model with mirror fermions at various lattice sizes.

Findings

Estimated upper bounds on the renormalized quartic coupling.

Analyzed fermion and boson mass behaviors at infinite bare quartic coupling.

Provided data on mass dependence on lattice size.

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 $\rm SU(2)_L \otimes SU(2)_R$ symmetric Yukawa model with mirror fermions. The behaviour of fermion and boson masses is investigated at infinite bare quartic coupling on $4^3 \cdot 8$, $6^3 \cdot 12$ and $8^3 \cdot 16$ lattices. A first estimate of the upper bound on the renormalized quartic coupling as a function of the renormalized Yukawa-coupling is given.