Abstract
We compute four-loop corrections to the Higgs boson gluon vertex, including finite top quark mass effects. Analytic results are presented which serve as a building block for the next-to-next-to-next-to-leading order corrections to Higgs boson production at the Large Hadron Collider at CERN.
Highlights
Introduction.—The precise measurement of the standard model Higgs boson properties is a major focus of the physics program of the Large Hadron Collider (LHC) at CERN
Leading order (LO) corrections to the process gg → H were considered 40 years ago [2] and next-to-leading order (NLO) corrections were computed at the beginning of the nineties, first in the infinite top quark mass approximation [3,4] and shortly after exactly in mt [5]. (The analytic twoloop virtual corrections are known from [6,7,8].) About ten years later the first next-to-next-to-leading order (NNLO) results became available [9,10,11] in an effective-theory framework where the top quark is integrated out
Three-loop corrections to the Higgs-gluon vertex with a massive quark loop have been obtained by combining information from the large-mt and threshold expansions with the help of a conformal mapping and a Padeapproximation [18]
Summary
Introduction.—The precise measurement of the standard model Higgs boson properties is a major focus of the physics program of the Large Hadron Collider (LHC) at CERN. (The analytic twoloop virtual corrections are known from [6,7,8].) About ten years later the first next-to-next-to-leading order (NNLO) results became available [9,10,11] in an effective-theory framework where the top quark is integrated out. Several expansion terms of the Higgs-gluon form factor were computed in [12,13] and subsequently an approximation method was developed to treat the real-radiation contribution [14,15,16,17].
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