English

Four-dimensional unsubtraction with massive particles

High Energy Physics - Phenomenology 2016-11-23 v1

Abstract

We extend the four-dimensional unsubtraction method, which is based on the loop-tree duality (LTD), to deal with processes involving heavy particles. The method allows to perform the summation over degenerate IR configurations directly at integrand level in such a way that NLO corrections can be implemented directly in four space-time dimensions. We define a general momentum mapping between the real and virtual kinematics that accounts properly for the quasi-collinear configurations, and leads to an smooth massless limit. We illustrate the method first with an scalar toy example, and then analyse the case of the decay of a scalar or vector boson into a pair of massive quarks. The results presented in this paper are suitable for the application of the method to any multipartonic process.

Keywords

Cite

@article{arxiv.1608.01584,
  title  = {Four-dimensional unsubtraction with massive particles},
  author = {German F. R. Sborlini and Felix Driencourt-Mangin and German Rodrigo},
  journal= {arXiv preprint arXiv:1608.01584},
  year   = {2016}
}

Comments

31 pages, 9 figures

R2 v1 2026-06-22T15:12:29.424Z