The four-dimensional helicity scheme and dimensional reconstruction

Details The four-dimensional helicity scheme and dimensional reconstruction The four-dimensional helicity scheme and dimensional reconstruction

2011-06-27

arxiv.org/abs/1106.5520v1

Phys.Rev.D84:034044,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages

Scientific paper

10.1103/PhysRevD.84.034044

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.

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