Kinematical Correlations for Higgs Boson Plus High $P_T$ Jet Production at Hadron Colliders

We investigate the effect of QCD resummation to kinematical correlations in the Higgs boson plus high transverse momentum ($P_T$) 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. We compare 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. The phenomenological importance of the resummation effect at the LHC is also demonstrated.

Figure 1

Higgs boson plus jet production from the $gg\to H+\mathrm{jet}$ channel at the LHC as functions of total transverse momentum $q_{\perp }$ (left) and the azimuthal angle difference $\varphi$ (right) of the Higgs boson and the leading jet. The dotted curves represent the result from the mcfm code, whereas the dashed curves are from the asymptotic result of Eq. (7). For comparison, the resummed cross sections are shown as the solid curves.