PreprintCC BY-NC-SA 4.0arXiv
Two-loop BRST-restoring finite counter-terms for chiral non-abelian gauge theories
Abstract
We study the renormalization of anomaly-free chiral SU(N) gauge theories without scalar fields through two-loop order. We adopt the Breitenlohner--Maison--'t Hooft--Veltman (BMHV) scheme for the treatment of γ5 in dimensional regularization. This prescription induces spurious breaking of BRST symmetry, requiring finite symmetry-restoring counter-terms in addition to the subtraction of ultraviolet divergences. We derive these counter-terms for a general, possibly reducible fermion representation, thus restoring the BRST symmetry, through two loops.
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BibTeX
@misc{lazopoulos2026twoloop,
title = {{Two-loop BRST-restoring finite counter-terms for chiral non-abelian gauge theories}},
author = {Achilleas Lazopoulos and Vera Paroutiadou},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.38618},
eprint = {2610.38618},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.38618},
note = {CC BY-NC-SA 4.0},
}
RIS
TY - UNPB
TI - Two-loop BRST-restoring finite counter-terms for chiral non-abelian gauge theories
AU - Achilleas Lazopoulos
AU - Vera Paroutiadou
PY - 2026
DA - 2026/10/28
PB - arXiv
DO - 10.48550/arxiv.2610.38618
UR - https://arxiv.org/abs/2610.38618
AB - We study the renormalization of anomaly-free chiral SU(N) gauge theories without scalar fields through two-loop order. We adopt the Breitenlohner--Maison--'t Hooft--Veltman (BMHV) scheme for the treatment of γ_5 in dimensional regularization. This prescription induces spurious breaking of BRST symmetry, requiring finite symmetry-restoring counter-terms in addition to the subtraction of ultraviolet divergences. We derive these counter-terms for a general, possibly reducible fermion representation, thus restoring the BRST symmetry, through two loops.
ER -