Production of a Higgs Boson Plus Two Jets in Hadronic Collisions

TL;DR

Addresses Higgs production with two jets in hadronic collisions within the heavy-top limit using an effective ggH Lagrangian. Derives complete Higgs-plus-multi-parton helicity amplitudes via spinor-helicity methods, including $ggggH$, $Hq\bar{q}gg$, and $Hq\bar{q}q'\bar{q}'$ channels, and analyzes soft-Higgs and factorization limits. Numerical results at $\sqrt{S}=14$ TeV (LHC) and $2$ TeV (Tevatron) show $gg\to ggH$ and $qg\to qgH$ dominate the cross section, with about 60/40 shares at the LHC and near-equal contributions at the Tevatron, while other channels are negligible. These real-emission amplitudes complement virtual corrections for a complete NLO Higgs production treatment and illustrate the power of the spinor-helicity approach in multi-jet Higgs processes.

Abstract

We consider the production of a Standard Model Higgs boson accompanied by two jets in hadronic collisions. We work in the limit that the top quark is much heavier than the Higgs boson and use an effective Lagrangian for the interactions of gluons with the Higgs boson. In addition to the previously computed four-gluon process, we compute the the amplitudes involving two quarks, two gluons and the Higgs boson and those involving four quarks and the Higgs boson. We exhibit the form of our results in the small-p_H and factorization limits. We present numerical results for root S of 14 TeV and root S of 2 TeV. We find that the dominant processes are gg -> ggH and qg -> qg H with the former (latter) contributing about 60% (40%) of the cross section at root S of 14 TeV and the two processes each contributing about half the cross section at root S of 2 TeV. All other processes are negligible at both energies.