Renormalization Group Scaling of Higgs Operators and \Gamma(h -> \gamma \gamma)

TL;DR

This paper analyzes how renormalization group effects alter the contributions of dimension six Higgs operators to Higgs decay rates and electroweak parameters, revealing important modifications neglected previously.

Contribution

It provides the first detailed calculation of operator mixing effects on Higgs decay and oblique parameters, leading to revised formulas and new relations in Higgs phenomenology.

Findings

Operator mixing significantly modifies Higgs decay predictions.

Additional terms are needed in the S parameter formula for consistency.

Derived a new relation linking S parameter and Higgs decay rates.

Abstract

We compute the renormalization of dimension six Higgs-gauge boson operators that can modify \Gamma(h -> \gamma \gamma) at tree-level. Operator mixing is shown to lead to an important modification of new physics effects which has been neglected in past calculations. We also find that the usual formula for the S oblique parameter contribution of these Higgs-gauge boson operators needs additional terms to be consistent with renormalization group evolution. We study the implications of our results for Higgs phenomenology and for new physics models which attempt to explain a deviation in \Gamma(h -> \gamma \gamma). We derive a new relation between the S parameter and the \Gamma(h -> \gamma \gamma) and \Gamma(h ->Z \gamma) decay rates.