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

Philipp Gerhold; Karl Jansen

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arXiv · 0710.1106

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

Philipp Gerhold·Karl Jansen

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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.

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Philipp Gerhold, Karl Jansen. 2007-10-04. The phase structure of a chirally invariant lattice Higgs-Yukawa model. https://arxiv.org/abs/0710.1106

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