Soft-virtual corrections to Higgs production at N$^3$LO
Abstract
In this paper, we compute the soft-virtual corrections to Higgs boson production in gluon fusion for infinite top quark mass at next-to-next-to-next-to-leading order in QCD. In addition, we present analogous soft-virtual terms for both Drell-Yan lepton production in QCD and scalar pair production in N = 4 super Yang-Mills theory. The result for Drell-Yan lepton production is derived from the result for Higgs boson production using Casimir scaling arguments together with well-known results available in the literature. For scalar pair production in the N = 4 model, we show by explicit calculation that the result is equal to the part of the Higgs boson soft-virtual term which is of maximal transcendentality weight.
Keywords
Cite
@article{arxiv.1412.2771,
title = {Soft-virtual corrections to Higgs production at N$^3$LO},
author = {Ye Li and Andreas von Manteuffel and Robert M. Schabinger and Hua Xing Zhu},
journal= {arXiv preprint arXiv:1412.2771},
year = {2015}
}
Comments
22 pages, 1 figure; in v2: added references and corrected eq. (5.2). v2 is the version published in PRD