Dimensional schemes for cross sections at NNLO
High Energy Physics - Phenomenology
2020-04-22 v1
Abstract
So far, the use of different variants of dimensional regularization has been investigated extensively for two-loop virtual corrections. We extend these studies to real corrections that are also required for a complete computation of physical cross sections at next-to-next-to-leading order. As a case study we consider two-jet production in electron-positron annihilation and describe how to compute the various parts separately in different schemes. In particular, we verify that using dimensional reduction the double-real corrections are obtained simply by integrating the four-dimensional matrix element over the phase space. In addition, we confirm that the cross section is regularization-scheme independent.
Keywords
Cite
@article{arxiv.1912.09974,
title = {Dimensional schemes for cross sections at NNLO},
author = {Christoph Gnendiger and Adrian Signer},
journal= {arXiv preprint arXiv:1912.09974},
year = {2020}
}
Comments
20 pages, 2 figures