Threshold resummation at N$^3$LL accuracy and soft-virtual cross sections at N$^3$LO
Abstract
We consider QCD radiative corrections to the production of colourless high-mass systems in hadron collisions. We show that the recent computation of the soft-virtual corrections to Higgs boson production at NLO [1] together with the universality structure of soft-gluon emission can be exploited to extract the general expression of the hard-virtual coefficient that contributes to threshold resummation at NLL accuracy. The hard-virtual coefficient is directly related to the process-dependent virtual amplitude through a universal (process-independent) factorization formula that we explicitly evaluate up to three-loop order. As an application, we present the explicit expression of the soft-virtual NLO corrections for the production of an arbitrary colourless system. In the case of the Drell-Yan process, we confirm the recent result of Ref.[2].
Keywords
Cite
@article{arxiv.1405.4827,
title = {Threshold resummation at N$^3$LL accuracy and soft-virtual cross sections at N$^3$LO},
author = {S. Catani and L. Cieri and D. de Florian and G. Ferrera and M. Grazzini},
journal= {arXiv preprint arXiv:1405.4827},
year = {2015}
}
Comments
Slightly expanded text, one reference added, version published on NPB