Top-quark mass effects in H+jet and H+2 jets production

Abstract

We present calculations of Higgs boson production via gluon-gluon fusion in association with one or two additional jets at next-to-leading order in QCD. The calculation of H+jet is exact in the treatment of the top-quark mass, whereas for the H+2 jets calculation the two-loop virtual amplitudes are approximated via a reweighting with leading-order mass effects, while keeping all top-quark mass effects in the real radiation contributions. For H+jet production, this study extends a previous calculation, revealing an error in the previous results. For total and differential cross sections, we present new results and compare the QCD corrections with the infinite top-mass limit, for which we find a strikingly good agreement if all amplitudes are rescaled by the leading-order mass dependence.

Automation of antenna subtraction in colour space: gluonic processes

“…The six-gluon one-loop matrix elements are computed with the OpenLoops generator [71][72][73]. In particular we use a new version of OpenLoops [74] which implements the original algorithm of [71] in combination with the helicity summation technique of [72] as well as a new tensor reduction algorithm [74,75]. The latter is based on the reduction techniques of [72], which are implemented at the level of tensor integrals in a way that yields improved numerical stability in the deep infrared regions together with a very significant speedup of quadruple-precision evaluations.…”

Automation of antenna subtraction in colour space: gluonic processes

“…The six-gluon one-loop matrix elements are computed with the OpenLoops generator [78][79][80]. In particular we use a new version of OpenLoops [81] which implements the original algorithm of [78] in combination with the helicity summation technique of [79] as well as a new tensor reduction algorithm [81,82]. The latter is based on the reduction techniques of [79], which are implemented at the level of tensor integrals in a way that yields improved numerical stability in the deep infrared regions together with a very significant speedup of quadruple-precision evaluations.…”

A comparative study of Higgs boson production from vector-boson fusion

“…The full NLO QCD results for Higgs plus one-jet production in the Standard Model have become available only recently [30,31], and a similar computation for Higgs-plus two jet production is not yet on the horizon. The best available technique to include top-quark mass effects in our predictions for gluon fusion would be a local reweighting strategy [32][33][34]. In this method, the ratio between Standard Model and effective theory results is computed at LO and applied to the EFT prediction as a local multiplicative correction.…”