Finite fermion mass effects in pseudoscalar Higgs production via gluon-gluon fusion

Abstract

We compute the leading logarithmic behaviour of the cross-section for the production of a pseudoscalar Higgs boson in gluon-gluon fusion to all-orders in perturbation theory, in the limit of large partonic centre of mass energy. We also calculate the Higgs rapidity distribution to the same accuracy. We include the contributions of top and bottom quarks, together with their interference. Our results are given in terms of single and double integrals, evaluated explicitly up to next-to next-to leading order (NNLO). We use our results to improve the known NNLO inclusive cross-section computed in the effective theory where the fermions in the loop are integrated out. The size of finite fermion mass effects on the inclusive cross-section is found to be small, reaching a few percent only for large values of the pseudoscalar mass.

arXiv comment15 pages, 2 tables and 2 figures. Small typos corrected. Version published in Physics Letters B

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• Parton distributions with small-x resummation: evidence for BFKL dynamics in HERA data
• Higgs production in gluon fusion beyond NNLO
• Production of scalar and pseudo-scalar Higgs bosons to next-to-next-to-leading order at hadron colliders
• Small-$x$ resummation from HELL
• NLO QCD corrections to pseudoscalar Higgs production in the MSSM
• Combining $Q_T$ and small-$x$ resummations
• Towards precise predictions for Higgs-boson production in the MSSM
• Pseudo-scalar Higgs boson production at N${}^3$LO${}_{\text{A}}$+N${}^3$LL${}^{\prime }$
• Towards parton distribution functions with small-$x$ resummation: HELL 2.0
• High-energy emissions of light mesons plus heavy flavor at the LHC and the Forward Physics Facility
• Pseudo-scalar Higgs Boson Production at Threshold N${}^3$LO and N${}^3$LL QCD
• The next-to-leading order Higgs impact factor in the infinite top-mass limit
• Ultraforward production of a charmed hadron plus a Higgs boson in unpolarized proton collisions
• Heavy neutrinos from gluon fusion
• Mueller-Navelet jets at the LHC: hunting data with azimuthal distributions