Upper bound on the cutoff in lattice Electroweak theory

TL;DR

This paper numerically investigates the lattice Weinberg-Salam model, identifying a critical lattice spacing below which the physical Higgs phase ceases to exist, providing an estimate for this cutoff.

Contribution

It offers a new estimate of the minimal lattice spacing for the lattice Electroweak theory, indicating the boundary of the physical Higgs phase.

Findings

Critical lattice spacing estimated at approximately 430 GeV

Higgs phase disappears below a certain lattice spacing

Analysis of previous numerical data supports the findings

Abstract

We investigate numerically lattice Weinberg - Salam model without fermions for realistic values of the fine structure constant and the Weinberg angle. We also analyze the data of the previous numerical investigations of lattice Electroweak theory. We have found that moving along the line of constant physics when the lattice spacing $a$ is decreased, one should leave the physical Higgs phase of the theory at a certain value of $a$. Our estimate of the minimal value of the lattice spacing is $a_c = [430\pm 40 {\rm Gev}]^{-1}$.