The vicinity of the phase transition in the lattice Weinberg - Salam Model

TL;DR

This study explores the lattice Weinberg-Salam model near the phase transition, revealing limits on the ultraviolet cutoff and characterizing the behavior of scalar fluctuations and monopoles around the Higgs mass of 300 GeV.

Contribution

The paper provides numerical analysis of the phase transition vicinity in the lattice Weinberg-Salam model, highlighting the maximum ultraviolet cutoff and monopole density at high Higgs mass.

Findings

Ultraviolet cutoff cannot exceed ~1.4 TeV.

Scalar field fluctuations become strong near the phase transition.

Nambu monopoles are dense in the transition region.

Abstract

We investigated the lattice Weinberg - Salam model without fermions for the Higgs mass around $300$ GeV. On the phase diagram there exists the vicinity of the phase transition between the physical Higgs phase and the unphysical symmetric phase, where the fluctuations of the scalar field become strong while Nambu monopoles are dense. According to our numerical results (obtained on the lattices of sizes up to $20^3\times 24$) the maximal value of the ultraviolet cutoff in the model cannot exceed the value around $1.4$ TeV.