Vacuum Stability Higgs Mass Bound Revisited with Implications for Extra Dimension Theories

TL;DR

This paper revisits the Higgs mass bounds considering higher dimensional operators in the Standard Model and explores implications for theories with extra dimensions, highlighting significant effects on vacuum stability constraints.

Contribution

It introduces the impact of higher dimensional operators on Higgs mass bounds and applies this analysis to theories with extra dimensions.

Findings

Higher dimensional operators significantly affect Higgs mass bounds.

Vacuum stability constraints are altered in theories with extra dimensions.

Implications for new physics scales are discussed.

Abstract

We take the standard model to be an effective theory including higher dimensional operators suppressed by scale $\Lambda$ and re-examine the higgs mass bounds from the requirements of vacuum stability. Our results show that the effects of the higher dimensional operators on the higgs mass limits are significant. As an implication of our results, we study the vacuum stability higgs mass bounds in theories with extra dimensions.