Exact quark-mass dependence of the Higgs-photon form factor at three loops in QCD

Abstract

We follow up on our discussion of the exact quark-mass dependence of the Higgs-gluon form factor at three loops in QCD (arXiv:2001.03008) and turn our attention to the closely related Higgs-photon form factor. Similarly to our previous work, we intend to examine the form factor for the decay of a Higgs-boson with variable mass into two photons at the three-loop level in QCD. The set of master integrals is known numerically due to prior work on the Higgs-gluon form factor and is exploited to obtain expansions around the threshold as well as in the high-energy limit. Our results may be utilised to derive the photonic decay rate of the Higgs-boson through next-to-next-to-leading order.

arXiv comment21 pages, 5 figures

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• Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
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• Higgs boson pair production and decay at NLO in QCD: the $b\bar{b}\gamma \gamma$ final state
• $H\to \gamma \gamma$ to all orders in ${\alpha }_s$ in the large-${\beta }_0$ limit of QCD
• Higgs boson decay into photons at four loops
• Integral representation for three-loop banana graph