Higgs-differential cross section at NNLO in dimensional regularisation

Abstract

We present an analytic computation of the Higgs production cross section in the gluon fusion channel, which is differential in the components of the Higgs momentum and inclusive in the associated partonic radiation through NNLO in perturbative QCD. Our computation includes the necessary higher order terms in the dimensional regulator beyond the finite part that are required for renormalisation and collinear factorisation at N${}^3$LO. We outline in detail the computational methods which we employ. We present numerical predictions for realistic final state observables, specifically distributions for the decay products of the Higgs boson in the $\gamma \gamma$ decay channel.

27 pages, 6 awesome figures

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• Power Corrections for N-Jettiness Subtractions at $\mathcal{O}({\alpha }_s)$
• Higgs Physics: It ain't over till it's over
• Differential Higgs production at N3LO beyond threshold
• Les Houches 2021: Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• TMD Fragmentation Functions at N${}^3$LO
• N-jettiness beam functions at N3LO
• Quantum Field Theory, Feynman-, Wheeler Propagators, Dimensional Regularization in Configuration Space and Convolution of Lorentz Invariant Tempered Distributions
• Collinear expansion for color singlet cross sections
• Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• Fully Differential Higgs Boson Production to Third Order in QCD
• One-loop QCD contributions to differential cross-sections for Higgs production at N${}^3$LO
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