Abstract

The region of small transverse momentum in $q\overline{q}$- and $gg$-initiated processes must be studied in the framework of resummation to account for the large, logarithmically enhanced contributions to physical observables. In this paper, we will calculate the fixed order next-to-leading order perturbative total and differential cross sections for both a Standard Model scalar Higgs boson and the Minimal Supersymmetric Standard Model's pseudoscalar Higgs boson in the Heavy Quark Effective Theory where the mass of the top quark is taken to be infinite. Resummation coefficients ${B}_{g}^{(2)},{C}_{gg}^{(2)}$ for the total cross-section resummation for the pseudoscalar case are given, as well as ${\overline{C}}_{gg}^{(1)}$ for the differential cross section.

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