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Small x resummation of rapidity distributions: The case of Higgs production
Authors:Fabrizio Caola  Stefano Forte  Simone Marzani
Affiliation:1. Dipartimento di Fisica, Università di Milano and INFN, Sezione di Milano, Via Celoria 16, I-20133 Milano, Italy;2. School of Physics & Astronomy, University of Manchester, Oxford Road, Manchester, M13 9PL, England, UK
Abstract:
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 kTkT) 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.
Keywords:Quantum chromodynamics   Resummation   Collider
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