The phase structure of a chirally invariant lattice Higgs-Yukawa model

TL;DR

This paper analyzes the phase structure of a chirally invariant lattice Higgs-Yukawa model using analytical methods and simulations, providing insights into Higgs mass bounds and phase transitions.

Contribution

It presents the phase diagram of the lattice Higgs-Yukawa model analytically in the large Nf-limit and compares it with HMC simulations, offering a new understanding of the model's phase structure.

Findings

Excellent agreement between analytical and simulation results at large Nf

Qualitative agreement at smaller Nf values

Initial results on the Higgs upper mass bound at a specific cutoff

Abstract

We consider a chirally invariant lattice Higgs-Yukawa model based on the Neuberger overlap operator. As a first step towards the eventual determination of Higgs mass bounds we present the phase structure of the model analytically in the large Nf-limit in the physically interesting region of the Yukawa coupling constant. We confront the analytically obtained phase diagram with corresponding HMC-simulations and find an excellent agreement at large values of Nf. In the opposite case the large Nf computation still gives a good qualitative description of the phase diagram. We also present first and very preliminary results on the Higgs upper bound at one selected cut-off of the theory.