# The rare decay $H\to Z\gamma$ in perturbative QCD

Gehrmann, Thomas; Guns, Sam; Kara, Dominik (2015). The rare decay $H\to Z\gamma$ in perturbative QCD. Journal of High Energy Physics, 2015(9):38.

## Abstract

The rare Higgs boson decay $H\to Z\gamma$ is forbidden at tree-level. In the Standard Model, it is loop-mediated through a $W$ boson or a heavy quark. We analytically compute the QCD correction to the heavy quark loop, confirming earlier purely numerical results, that were obtained for on-shell renormalization. The small quark mass expansion of the decay matrix element contains only single-logarithmic contributions at each perturbative order, which is in contrast to the double logarithms observed in $H\to \gamma\gamma$. We investigate the numerical interplay of bottom and top quark contributions, and the dependence of the result on the renormalization scheme.

The rare Higgs boson decay $H\to Z\gamma$ is forbidden at tree-level. In the Standard Model, it is loop-mediated through a $W$ boson or a heavy quark. We analytically compute the QCD correction to the heavy quark loop, confirming earlier purely numerical results, that were obtained for on-shell renormalization. The small quark mass expansion of the decay matrix element contains only single-logarithmic contributions at each perturbative order, which is in contrast to the double logarithms observed in $H\to \gamma\gamma$. We investigate the numerical interplay of bottom and top quark contributions, and the dependence of the result on the renormalization scheme.

## Citations

2 citations in Web of Science®
1 citation in Scopus®

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Item Type: Journal Article, refereed, original work 07 Faculty of Science > Physics Institute 530 Physics English 2015 16 Feb 2016 13:25 05 Apr 2016 20:04 Springer 1029-8479 Publisher DOI. An embargo period may apply. https://doi.org/10.1007/JHEP09(2015)038 http://arxiv.org/abs/1505.00561
Permanent URL: https://doi.org/10.5167/uzh-121644

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