# Computation of $H\to gg$ in FDH and DRED: renormalization, operator mixing, and explicit two-loop results

Broggio, A; Gnendiger, C; Signer, A; Stöckinger, D; Visconti, A (2015). Computation of $H\to gg$ in FDH and DRED: renormalization, operator mixing, and explicit two-loop results. European Physical Journal C - Particles and Fields, 75:418.

## Abstract

The $H\to gg$ amplitude relevant for Higgs production via gluon fusion is computed in the four-dimensional helicity scheme (FDH) and in dimensional reduction (DRED) at the two-loop level. The required renormalization is developed and described in detail, including the treatment of evanescent $\epsilon$-scalar contributions. In FDH and DRED there are additional dimension-5 operators generating the $H g g$ vertices, where $g$ can either be a gluon or an $\epsilon$-scalar. An appropriate operator basis is given and the operator mixing through renormalization is described. The results of the present paper provide building blocks for further computations, and they allow to complete the study of the infrared divergence structure of two-loop amplitudes in FDH and DRED.

## Abstract

The $H\to gg$ amplitude relevant for Higgs production via gluon fusion is computed in the four-dimensional helicity scheme (FDH) and in dimensional reduction (DRED) at the two-loop level. The required renormalization is developed and described in detail, including the treatment of evanescent $\epsilon$-scalar contributions. In FDH and DRED there are additional dimension-5 operators generating the $H g g$ vertices, where $g$ can either be a gluon or an $\epsilon$-scalar. An appropriate operator basis is given and the operator mixing through renormalization is described. The results of the present paper provide building blocks for further computations, and they allow to complete the study of the infrared divergence structure of two-loop amplitudes in FDH and DRED.

## Statistics

### Citations

4 citations in Web of Science®
4 citations in Scopus®

### Altmetrics

Detailed statistics

Item Type: Journal Article, refereed, original work 07 Faculty of Science > Physics Institute 530 Physics English 2015 12 Feb 2016 13:32 08 Dec 2017 18:16 Springer 1434-6044 Publisher DOI. An embargo period may apply. https://doi.org/10.1140/epjc/s10052-015-3619-y arXiv:1503.09103v1