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arXiv · 2007.09813

Two-loop mixed QCD-EW corrections to $gg \to Hg$

Marco Bonetti·Erik Panzer·Vladimir A. Smirnov·Lorenzo Tancredi
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Abstract

We compute the two-loop mixed QCD-Electroweak (QCD-EW) corrections to the production of a Higgs boson and a gluon in gluon fusion. The relevant four-point functions with internal massive propagators are expressed as multiple polylogarithms with algebraic arguments. We perform the calculation by integration over Feynman parameters and, independently, by the method of differential equations. We compute the two independent helicity amplitudes for the process and we find that they are both finite. Moreover, we observe a weight drop when all gluons have the same helicity. We also provide a simplified expression for the all-plus helicity amplitude, which is optimised for fast and reliable numerical evaluation in the physical region.

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Marco Bonetti, Erik Panzer, Vladimir A. Smirnov, Lorenzo Tancredi. 2020-07-19. Two-loop mixed QCD-EW corrections to $gg \to Hg$. https://doi.org/10.1007/jhep11(2020)045

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