This process represents the production of a Higgs boson in association with a single jet based on refs. [1, 2, 3, 4, 5, 6]. Decay modes are currently unsupported/untested. The top-quark mass is taken into account exactly for the Born and real-emission parts, as well as for the singular part of the virtual corrections. The real emission calculation is based on the one-loop, Higgs boson + 4 parton calculations with full quark masss effects of ref.[5, 6].
The finite part of the two-loop virtual corrections can be computed in different ways by setting the input file parameter mtex.
In a low energy asymptotic expansion in 1∕m_{t}^{k} up to order k = 2,4 by setting mtex to 2 or 4 in the input file. This is recommended for transverse momenta up to ≃ 225 GeV.
In a high energy expansion by setting mtex=100 in the input file. This is recommended for transverse momenta beyond 450 GeV.
In a rescaling approach where the finite part of the two-loop virtual amplitude in the effective field theory (m_{t} = ∞) is rescaled pointwise by the ratio of the one-loop amplitude computed with full m_{t} dependence to the one-loop amplitude for m_{t} = ∞. This mode is the default mode and enabled with mtex=0 in the input file. This is the recommended approach for the intermediate energy region and for estimating top-mass uncertainties in the transition regions between these approaches.
This process is therefore calculable at leading LO and at next-to-leading order NLO (using an approximation for the two loop matrix element). Full NLO calculations (with the exact two-loop matrix element) have been performed in refs. [?, ?, 7].
nplotter_Hjets.f is the default plotting routine.
[1] T. Neumann and C. Williams, The Higgs boson at high p_{T}, Phys. Rev. D95 (2017) 014004 [1609.00367].
[2] T. Neumann, NLO Higgs+jet production at large transverse momenta including top quark mass effects, J. Phys. Comm. 2 (2018) 095017 [1802.02981].
[3] R.K. Ellis, I. Hinchliffe, M. Soldate and J.J. van der Bij, Higgs Decay to tau+ tau-: A Possible Signature of Intermediate Mass Higgs Bosons at the SSC, Nucl. Phys. B 297 (1988) 221.
[4] U. Baur and E.W.N. Glover, Higgs Boson Production at Large Transverse Momentum in Hadronic Collisions, Nucl. Phys. B 339 (1990) 38.
[5] R.K. Ellis and S. Seth, On Higgs boson plus gluon amplitudes at one loop, JHEP 11 (2018) 006 [1808.09292].
[6] L. Budge, J.M. Campbell, G. De Laurentis, R.K. Ellis and S. Seth, The one-loop amplitudes for Higgs + 4 partons with full mass effects, JHEP 05 (2020) 079 [2002.04018].
[7] R. Bonciani, V. Del Duca, H. Frellesvig, M. Hidding, V. Hirschi, F. Moriello et al., Next-to-leading-order QCD Corrections to Higgs Production in association with a Jet, 2206.10490.