English

The four-dimensional helicity scheme and dimensional reconstruction

High Energy Physics - Phenomenology 2011-09-29 v1

Abstract

The four-dimensional helicity regularization scheme is often used in one-loop QCD computations. It was recently argued in Ref. [1] that this scheme is inconsistent beyond the one-loop order in perturbation theory. In this paper, we clarify the reason for this inconsistency by studying the perturbative expansion of the vector current correlator in one-flavor QED through three-loop order. We develop a simple, practical way to fix the four-dimensional helicity scheme using the idea of dimensional reconstruction, and demonstrate its application in several illustrative examples.

Keywords

Cite

@article{arxiv.1106.5520,
  title  = {The four-dimensional helicity scheme and dimensional reconstruction},
  author = {Radja Boughezal and Kirill Melnikov and Frank Petriello},
  journal= {arXiv preprint arXiv:1106.5520},
  year   = {2011}
}

Comments

7 pages

R2 v1 2026-06-21T18:28:20.594Z