$gg\to HH$: Combined Uncertainties

We compute the real-radiation corrections to Higgs boson pair production at next-to-next-to-leading order in QCD, in an expansion for large top quark mass. We concentrate on the radiative corrections to the interference contribution from the next-to-leading order one-particle reducible and the leading order amplitudes. This is a well defined and gauge invariant subset of the full real-virtual corrections to the inclusive cross section. We obtain analytic results for all phase-space master integrals both as an expansion around the threshold and in an exact manner in terms of Goncharov polylogarithms.

“…The dependence on the renormalization scheme of the top quark mass has been discussed in Ref. [20]. Sizeable uncertainties were observed for large values of the di-Higgs invariant mass.…”

Section: Introductionmentioning

confidence: 98%

Real-virtual corrections to Higgs boson pair production at NNLO: three closed top quark loops

Davies

Herren

Mishima

et al. 2019

“…[9,10] that the di-Higgs production process suffers from a large uncertainty associated to the renormalisation scheme of the top quark mass. In particular, an on the NLO cross section between +4% and −18% [35] is related to the change from the on-shell renormalisation scheme to the MS scheme for the top mass, with the latter evaluated at different values of the renormalisation scale (m t , M HH and M HH /4). The results presented so far have been calculated using the on-shell scheme for the top mass, however the form factors in the MS scheme can be JHEP07(2022)069 obtained by simply shifting our result according to: form factors.…”

Section: Merging the P T And He Expansions At Nlomentioning

confidence: 99%

Gluon fusion production at NLO: merging the transverse momentum and the high-energy expansions

Bellafronte

Degrassi

Giardino

et al. 2022

The virtual corrections to gg → HH and gg → ZH are analytically evaluated combining an expansion in the small transverse momentum of the final particles with an expansion valid at high energies. The two expansion methods describe complementary regions of the phase space and we merge their results, extending the range of validity of both expansions using Padé approximants. We show that this approach can reproduce the available numerical results retaining the exact top quark mass dependence with an accuracy below the 1% level. Our results allow a fast and flexible evaluation of the virtual corrections of the considered processes. Furthermore, they are available in different renormalisation schemes of the top quark mass.

“…Throughout our calculation, the top-quark mass is renormalised using the on-shell (or pole mass) scheme. It has been pointed out in the literature that several Higgs boson production processes (including Higgs boson production in association with jets) are sensitive to the scheme and scale used to renormalise quark masses [96][97][98][99]. For example, at LO, the difference between the pole mass scheme and the MS scheme at scale m H,j /2 was found to be around 12% for m H,j = 700 GeV and p T,j > 300 GeV.…”

Section: Setupmentioning

confidence: 99%

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

Chen

Huss

Jones

et al. 2022

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.