Two-loop amplitudes for Higgs plus jet production involving a modified trilinear Higgs coupling

Abstract

We calculate the contributions to the two-loop scattering amplitudes $h\to gg$, $h\to ggg$ and $h\to q\bar{q}g$ that arise from a modified trilinear Higgs coupling $\lambda$. Analytic expressions are obtained by performing an asymptotic expansion near the limit of infinitely heavy top quark. The calculated amplitudes are necessary to study the impact of the $\mathcal{O}(\lambda )$ corrections to the transverse momentum distributions ($p_{T,h}$) in single-Higgs production at hadron colliders for low and moderate values of $p_{T,h}$.

13 pages, 1 figure; v2: version accepted by JHEP

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• Probing the Higgs self coupling via single Higgs production at the LHC
• Indirect probes of the trilinear Higgs coupling: $gg\to h$ and $h\to \gamma \gamma$
• Two-loop $gg\to Hg$ amplitude mediated by a nearly massless quark
• Two-loop amplitudes for $qg\to Hq$ and $q\bar{q}\to Hg$ mediated by a nearly massless quark

Cited by in corpus (1)

• Probing the trilinear Higgs boson coupling in di-Higgs production at NLO QCD including parton shower effects