Small x resummation of rapidity distributions: the case of Higgs production

Details Small x resummation of rapidity distributions: the case of Higgs production Small x resummation of rapidity distributions: the case of Higgs production

2010-10-13

arxiv.org/abs/1010.2743v2

Nucl.Phys.B846:167-211,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

53 pages, 6 figures. Several typos corrected. Final version, to be published in NPB

Scientific paper

10.1016/j.nuclphysb.2011.01.001

We provide a method for the all order computation of small x contributions at the leading logarithmic level to cross-sections which are differential in rapidity. The method is based on a generalization to rapidity distributions of the high energy (or k_T) factorization theorem hitherto proven for inclusive cross-sections. We apply the method to Higgs production in gluon-gluon fusion, both with finite top mass and in the infinite mass limit: in both cases, we determine all-order resummed expressions, as well as explicit expressions for the leading small x terms up to NNLO. We use our result to construct an explicit approximate analytic expression of the finite-mass NLO rapidity distribution and an estimate of finite-mass corrections at NNLO.

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