Top mass effects in Higgs production at next-to-next-to-leading order QCD: Virtual corrections

Abstract

Top quark mass suppressed terms are calculated for the virtual amplitude for Higgs production in gluon fusion at three-loop level, i.e. O(α 3 s ). The method of asymptotic expansions in its automated form is used to evaluate the first three non-vanishing orders in terms of M 2 H /M 2 t , where the first order corresponds to the known results of the effective Lagrangian approach.Recently it has been suggested that the size of the radiative corrections is due to the transition from space-to time-like momenta, and in fact, numerical studies show that the

Electroweak and Higgs boson production at the LHC

“…These calculations indicate that the effects of the higher order corrections are moderate and therefore enhance our confidence that the NNLO prediction with its assigned uncertainty correctly models gluon fusion production. The validity of the HQET approximation has been extensively checked by directly evaluating sub-leading terms in the 1/m t expansion [37][38][39][40][41][42] and found to be an excellent approximation at the mass range around 126GeV.…”

Higgs cross sections: a brief overview

“…The accuracy of the large-m t approximation has been studied by computing subleading terms in the large-m t limit [27][28][29][30][31][32]. Such works have shown that the approximation works remarkably well, to better than 1% for m H < 300 GeV.…”

Higgs boson production at LHC to NNLO accuracy and finite top quark mass effects

“…It is thus very important to perform the NNLO calculation within full QCD in order to obtain reliable predictions up to NNLO accuracy. Recently two independent groups have completed this big enterprise [3,4,5,6,7]. In this contribution we briefly describe the calculation and results obtained in Refs.…”