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arXiv · 2102.07607

Fully Differential Higgs Boson Production to Third Order in QCD

X. Chen·T. Gehrmann·E. W. N. Glover·A. Huss·B. Mistlberger·A. Pelloni
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Abstract

We present fully differential predictions for the production cross section of a Higgs boson via the gluon fusion mechanism at next-to-next-to-next-to leading order (N$^3$LO) in QCD perturbation theory. To perform our calculation we apply the Projection-to-Born method for the first time to the calculation of the non-factorising production of a colorless final state at the LHC at N$^3$LO. We predict differential distributions for the two photon final state produced by the decay of the Higgs boson and apply fiducial cuts on the photon rapidities and momenta. The N$^3$LO corrections to these differential distributions have complex features and are in part larger than the inclusive N$^3$LO corrections to the production cross section. Overall, we observe that the inclusion of the N$^3$LO QCD corrections significantly reduces the perturbative uncertainties and leads to a stabilisation of the perturbative expansion.

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X. Chen, T. Gehrmann, E. W. N. Glover, A. Huss, B. Mistlberger, A. Pelloni. 2021-02-15. Fully Differential Higgs Boson Production to Third Order in QCD. https://doi.org/10.1103/physrevlett.127.072002

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