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 kT) 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.

Small x resummation of rapidity distributions : the case of Higgs production / F. Caola, S. Forte, S. Marzani. - In: NUCLEAR PHYSICS. B. - ISSN 0550-3213. - 846:2(2011), pp. 167-211. [10.1016/j.nuclphysb.2011.01.001]

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

F. Caola
Primo
;
S. Forte
Secondo
;
2011

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 kT) 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.
Collider; Quantum chromodynamics; Resummation
Settore FIS/02 - Fisica Teorica, Modelli e Metodi Matematici
Settore FIS/04 - Fisica Nucleare e Subnucleare
2011
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/157964
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