English

$\gamma_{5}$ in FDH

High Energy Physics - Phenomenology 2018-05-16 v1

Abstract

We investigate the regularization-scheme dependent treatment of γ5\gamma_{5} in the framework of dimensional regularization, mainly focusing on the four-dimensional helicity scheme (FDH). Evaluating distinctive examples, we find that for one-loop calculations, the recently proposed four-dimensional formulation (FDF) of the FDH scheme constitutes a viable and efficient alternative compared to more traditional approaches. In addition, we extend the considerations to the two-loop level and compute the pseudo-scalar form factors of quarks and gluons in FDH. We provide the necessary operator renormalization and discuss at a practical level how the complexity of intermediate calculational steps can be reduced in an efficient way.

Keywords

Cite

@article{arxiv.1710.09231,
  title  = {$\gamma_{5}$ in FDH},
  author = {C. Gnendiger and A. Signer},
  journal= {arXiv preprint arXiv:1710.09231},
  year   = {2018}
}

Comments

28 pages, 7 figures

R2 v1 2026-06-22T22:25:21.348Z