On Sudakov and Soft resummations in QCD

Details On Sudakov and Soft resummations in QCD On Sudakov and Soft resummations in QCD

2005-12-20

arxiv.org/abs/hep-ph/0512249v2

Nucl.Phys.B746:58-76,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

22 pages, no figures. Discussion on soft plus virtual part of Higgs production and DIS added

Scientific paper

10.1016/j.nuclphysb.2006.04.008

In this article we extract soft distribution functions for Drell-Yan and Higgs production processes using mass factorisation theorem and the perturbative results that are known upto three loop level. We find that they are maximally non-abelien. We show that these functions satisfy Sudakov type integro differential equations. The formal solutions to such equations and also to the mass factorisation kernel upto four loop level are presented. Using the soft distribution function extracted from Drell-Yan production, we show how the soft plus virtual cross section for the Higgs production can be obtained. We determine the threshold resummation exponents upto three loop using the soft distribution function.

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