NLO Higgs+jet production at large transverse momenta including top quark mass effects

Abstract

We present a next-to-leading order calculation of H+jet in gluon fusion including the effect of a finite top quark mass m t at large transverse momenta. Using the recently published two-loop amplitudes in the high energy expansion and our previous setup that includes finite m t effects in a low energy expansion, we are able to obtain m t -finite results for transverse momenta below 225 GeV and above 500 GeV with negligible remaining top quark mass uncertainty. The only remaining region that has to rely on the common leading order rescaling approach is the threshold region s m 2 t  . We demonstrate that this rescaling provides an excellent approximation in the high p T region. Our calculation settles the issue of top quark mass effects at large transverse momenta. It is implemented in the parton level Monte Carlo code MCFM and is publicly available immediately in version 8.2.

The light-fermion contribution to the exact Higgs-gluon form factor in QCD

“…The real-emission contributions are sufficient if one aims for Higgs boson production at non-zero transverse momenta p ⊥ . In this case, top-mass effects have been addressed by several groups recently [11][12][13][14]. After estimates based on 1/m t expansions of the cross section which indicated a break-down of this approximation for p ⊥ 150 GeV [15,16], it came as a surprise to find the K-factor of the exact calculation to be fairly independent of p ⊥ [12,13].…”

Two-Loop QCD Corrections to the Higgs Plus Three-parton Amplitudes with Top Mass Correction

“…When the Higgs transverse momentum is comparable to the top mass, the contribution of higher dimension operators in the Higgs EFT will be important. This has been taken into account so far only at NLO QCD accuracy, including the finite top mass effect [35][36][37]. A concrete goal of this paper is to compute the two-loop QCD corrections for Higgs plus 3-parton amplitudes with dimension-7 operators in the Higgs EFT.…”

Evaluating a family of two-loop non-planar master integrals for Higgs + jet production with full heavy-quark mass dependence

“…When the jet or Higgs transverse momenta are of the order or larger than the heavyquark mass, p T m Q , the HEFT is not a viable approximation. In that region, approximate computations at NLO exist [27,28], based on the two-loop amplitudes for Higgs plus three partons, computed in the limit p T m Q [29], and, as outlined above, a numerical NLO computation in the full theory [20], which includes only the dependence on the top-quark mass.…”

“…(2) 25 ) − 2 log (l 1 ) log (l 25 ) + log (−l 3 ) log (l 25 ) + log (−l 4 ) log (l 25 ) − log (−l 7 ) log (l 25 ) + 3 log (l 10 ) log (l 25 ) + log (−l 27 ) log (l 25 ) − log (−l 27 ) log (l 43 ) 28 ) − 2 log (l 1 ) log (−l 28 ) + log (−l 4 ) log (−l 28 ) − log (−l 5 ) log (−l 28 ) + log (l 9 ) log (−l 28 )…”