Abstract
AbstractEffects from a finite top quark mass on differential distributions in the Higgs + jet production cross section through gluon fusion are studied at next-to-leading order in the strong coupling, i.e.$ O\left( {\alpha_s^4} \right) $. Terms formally subleading in 1/mtare calculated, and their influence on the transverse momentum and rapidity distribution of the Higgs boson are evaluated. We find that, for the differential K-factor, the heavy-top limit is valid at the 2-3% level as long as the transverse momentum of the Higgs remains below about 150 GeV.
Highlights
Effects from a finite top quark mass on differential distributions in the Higgs+jet production cross section through gluon fusion are studied at next-to-leading order in the strong coupling, i.e. O(αs4)
For the differential K-factor, the heavy-top limit is valid at the 2–3% level as long as the transverse momentum of the Higgs remains below about 150 GeV
The NLO pT- and y-distributions in H+jet-production [24,25,26,27], the jet-vetoed Higgs cross section [28], as well as the resummation of the logarithmic terms for small pT [29,30,31,32] are based on the effective theory approach, and so are the fully exclusive NNLO partonic Monte Carlo programs for Higgs production in gluon fusion [33,34,35]
Summary
In this paper we consider the quantities dσ/dpT and dσ/dy in the gluon fusion process, where a Higgs boson is produced in association with a jet in hadronic collisions through a top-loop mediated gluon-Higgs coupling. Gg → Hg, qg → Hq, qg → H + q, and qq → Hg (q ∈ {u, d, s, c, b}), see figure 1, with the corresponding parton density functions. At this order of perturbation theory, the full dependence on the top quark and Higgs boson mass mH is known, and parton shower effects have been evaluated [39, 40]. At NLO, the Feynman diagrams can be divided into three groups: the first one is obtained by dressing each of the partonic LO processes by a virtual or a real gluon, see figure 2 (a)-(d), for example; the second one by splitting the emitted gluon into a qq-pair, see figure 2 (e). The third group is of the form q1q2 → Hq1q2, where both q1 and q2 run continuously from the inital to the final state, and q1, q2 denote quarks or anti-quarks of the first five flavors, see figure 2 (f), for example
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