Power-Law Running of the Higgs Mass

TL;DR

This paper explains the large discrepancy in the Higgs mass squared across energy scales through a power-law running behavior influenced by loop corrections, especially from the top quark Yukawa coupling.

Contribution

It introduces a power-law running framework for the Higgs mass squared, providing a natural explanation for the 28 orders of magnitude discrepancy.

Findings

Higgs mass squared exhibits power-law running across energy scales.

Loop corrections, dominated by top quark Yukawa coupling, account for the discrepancy.

Provides a new perspective on the hierarchy problem in the Standard Model.

Abstract

The renormalized scalar mass squared is a function of the energy scale and power-runs as its square: it is O$(M_{GUT}^2)$ at $M_{GUT}^2$ and O$(m_W^2)$ at $m_W^2$. The 28 orders of discrepancy is naturally explained by the loop-correction factor of the Standard Model, dominated by the top quark Yukawa coupling $16\pi^2/(N_c y_t^2 \ln10)$.