The 4d one component lattice $\phi^4$ model in the broken phase revisited

TL;DR

This paper revisits the 4D one-component lattice  model in the broken phase, confirming its critical behavior aligns with renormalization group predictions, and discusses implications for the Higgs sector.

Contribution

It provides new measurements of physical quantities in the broken phase, supporting conventional critical behavior and challenging recent claims of unconventional scaling affecting the Higgs mass bounds.

Findings

Measurements agree with renormalization group predictions

Contradicts recent claims of unconventional scaling in the Higgs sector

Supports the triviality of the  model in the broken phase

Abstract

Measurements of various physical quantities in the symmetry broken phase of the one component lattice $\phi^4_4$ with standard action, are shown to be consistent with the critical behavior obtained by renormalization group analyses. This is in contrast to recent conclusions by another group, who further claim that the unconventional scaling behavior they observe, when extended to the complete Higgs sector of the Standard Model, would alter the conventional triviality bound on the mass of the Higgs.