Higgs Decays to $ZZ$ and $Z\gamma$ in the SMEFT: an NLO analysis

TL;DR

This paper provides a comprehensive NLO electroweak correction analysis for Higgs decays to ZZ and Zγ within the SMEFT framework, highlighting the significance of renormalization group effects over finite corrections.

Contribution

It presents the first complete calculation of one-loop electroweak corrections to these Higgs decay modes in SMEFT, including compact formulas and the impact of RGE effects.

Findings

Logarithmic RGE contributions dominate finite NLO corrections.

First complete finite correction results for Gμ in SMEFT.

Numerical formulas facilitate future phenomenological studies.

Abstract

We calculate the complete one-loop electroweak corrections to the inclusive $H\rightarrow ZZ$ and $H\rightarrow Z\gamma$ decays in the dimension-$6$ extension of the Standard Model Effective Field Theory (SMEFT). The corrections to $H\rightarrow ZZ$ are computed for on-shell $Z$ bosons and are a precursor to the physical $H\rightarrow Z f {\overline{f}}$ calculation. We present compact numerical formulas for our results and demonstrate that the logarithmic contributions that result from the renormalization group evolution of the SMEFT coefficients are larger than the finite NLO contributions to the decay widths. As a by-product of our calculation, we obtain the first complete result for the finite corrections to $G_\mu$ in the SMEFT.