Kinematical correlations for Higgs boson plus High Pt Jet Production at Hadron Colliders

TL;DR

The singular behavior of resummation calculation to fixed order prediction in the case that a Higgs boson and high P(T) jet are produced nearly back to back in their transverse momenta, and find perfect agreement.

Abstract

We investigate the effect of QCD resummation to kinematical correlations in the Higgs boson plus high transverse momentum (Pt) jet events produced at hadron colliders. We show that at the complete one-loop order, the Collins-Soper-Sterman resummation formalism can be applied to derive the Sudakov form factor, which is found to be independent of jet-finding algorithm. We compare the singular behavior of resummation calculation to fixed order prediction in the case that Higgs boson and high Pt jet are produced nearly back-to-back in their transverse momenta, and find a perfect agreement. The phenomenological importance of the resummation effect at the LHC is also demonstrated.

Figures (1)

• Figure 1: Higgs boson plus jet production from $gg\to H+jet$ channel at the LHC as function of total transverse momentum of the Higgs boson and the jet. The dotted curve represents the result from the MCFM code, whereas the dashed curve from asymptotic result of Eq. (\ref{['soft']}). For comparison, the resummed cross section is shown as the solid curve.