Virtual QCD corrections to Higgs boson plus four parton processes

Abstract

We report on the calculation of virtual processes contributing to the production of a Higgs boson and two jets in hadron-hadron collisions. The coupling of the Higgs boson to gluons, via a virtual loop of top quarks, is treated using an effective theory, valid in the large top quark mass limit. The calculation is performed by evaluating one-loop diagrams in the effective theory. The primary method of calculation is a numerical evaluation of the virtual amplitudes as a Laurent series in $D-4$, where $D$ is the dimensionality of space-time. For the cases $H\to q\bar{q}q\bar{q}$ and $H\to q\bar{q}{q}^{\prime }{\bar{q}}^{\prime }$ we confirm the numerical results by an explicit analytic calculation.

Comments: 21 pages, 2 figures. v2 modifies the text to agree with published version and corrects typos in the analytical expressions for the four quark amplitudes