Two-Loop Master Integrals for the Planar QCD Massive Corrections to Di-photon and Di-jet Hadro-production

Abstract

We present the analytic calculation of the Master Integrals necessary to compute the planar massive QCD corrections to Di-photon (and Di-jet) production at hadron colliders. The masters are evaluated by means of the differential equations method and expressed in terms of multiple polylogarithms and one- or two-fold integrals of polylogarithms and irrational functions, up to transcendentality four.

20 pages, ancillary files

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• Towards a new approximation for pair-production and associated-production of the Higgs boson
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• Two-loop amplitudes for processes $gg\to Hg,qg\to Hq$ and $q\bar{q}\to Hg$ at large Higgs transverse momentum
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• Three-loop contributions to the $\rho$ parameter and iterated integrals of modular forms
• Next-to-leading order corrections for $gg\to ZH$ with top quark mass dependence
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• Planar master integrals for the two-loop light-fermion electroweak corrections to Higgs plus jet production
• Systematic approximation of multi-scale Feynman integrals
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• Rationalizing roots: an algorithmic approach
• Two-loop amplitude for mixed QCD-EW corrections to $gg\to Hg$
• Differential equations for Feynman integrals beyond multiple polylogarithms
• Two-loop master integrals for pseudo-scalar quarkonium and leptonium production and decay