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The region of small transverse momentum in q qbar- and gg-initiated processesmust 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 (NLO) perturbativetotal and differential cross-sections for both a Standard Model (SM) scalarHiggs boson and the Minimal Supersymmetric Standard Model's (MSSM) pseudoscalarHiggs boson in the Heavy Quark Effective Theory (HQET) where the mass of thetop quark is taken to be infinite. Resummation coefficients B^2_g, C^2_gg forthe total cross-section resummation for the pseudoscalar case are given, aswell as C^1_gg for the differential cross-section.Comment: 18 pages, REVTeX4, 5 eps figures. v2: Typos corrected, references  added, a discussion of uncertainties was adde

Next-to-leading log resummation of scalar and pseudoscalar Higgs boson differential cross sections at the CERN LHC and Fermilab Tevatron