Non-perturbative investigation of the fermion-Higgs sector of the standard model

TL;DR

This study investigates the limits of the fermion-Higgs sector in the Standard Model using lattice simulations, showing that the couplings cannot reach very strong values with the standard regulator.

Contribution

It provides the first non-perturbative analysis of the fermion-Higgs sector with two SU(2) doublets, focusing on the renormalized couplings.

Findings

Renormalized quartic self-coupling $ m ar{ m ext{lambda}}_R$ is limited.

Renormalized Yukawa coupling $y_R$ cannot become very strong.

Standard lattice regulator constrains the strength of couplings.

Abstract

We present results for the renormalized quartic self-coupling $\lm_R$ and the renormalized Yukawa coupling $y_R$ in a fermion-Higgs model with two SU(2) doublets, indicating that with the standard lattice regulator these couplings cannot become very strong.