Soft gluon resummation for associated t t ¯ H $$ \mathrm{t}\overline{\mathrm{t}}\mathrm{H} $$ production at the LHC

Abstract

We perform resummation of soft gluon corrections to the total cross section for the process pp → ttH. The resummation is carried out at next-to-leading-logarithmic (NLL) accuracy using the Mellin space technique, extending its application to the class of 2 → 3 processes. We present an analytical result for the soft anomalous dimension for a hadronic production of two coloured massive particles in association with a colour singlet. We discuss the impact of resummation on the numerical prediction for the associated Higgs boson production with top quarks at the LHC.

Higgs production in association with a top-antitop pair in the Standard Model Effective Field Theory at NLO in QCD

“…Predictions for the ttH process in the SM are known at next-to-leading order (NLO) in QCD [15][16][17][18][19][20][21][22], with off-shell effects [23], and at NLO in electroweak [24][25][26][27]. Next-to-leading logarithmic matched to NLO [28] as well as approximate next-to-next-to-leading order QCD predictions [29] have also become available recently.…”

Resummation of soft and Coulomb corrections for $$ t\overline{t}h $$ production at the LHC

“…Given the complicated structure of this scattering process, it will be very challenging to perform an exact calculation of the next-to-next-to-leading order corrections. Therefore, a lot of efforts have been devoted to approximations of the higher order QCD corrections in various kinematic limits [22][23][24][25]. The derivation of an approximation often involves a factorization formula, which can be used to resum a class of large corrections to all orders in perturbation theory.…”

“…There are power-like corrections arising from exchanges of Coulomb gluons, besides logarithmic corrections coming from soft gluon emissions. This limit has been studied in [22], where the soft gluon contributions are resummed, but the Coulomb gluon contributions are only incorporated at fixed-order. In this paper, we will derive a factorization formula which can resum simultaneously both kinds of higher-order corrections.…”

Soft Anomalous Dimension Matrices in Heavy Quark--Antiquark Hadroproduction in Association with a Gluon Jet

“…For the supersymmetric charged Higgs boson hadroproduction the soft gluon resummation was performed at two loops for the process bg → tH − [22]. Next the soft gluon resummation was extended to a new class of processes: 2 → 3 containing 4 coloured and 1 colour neutral particles, which gives more accurate predictions for the Higgs boson hadroproduction cross section in association with the top and antitop quarks [23,24,25,26].…”