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arXiv · 2610.38618

Two-loop BRST-restoring finite counter-terms for chiral non-abelian gauge theories

Achilleas Lazopoulos·Vera Paroutiadou
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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 $γ_5$ 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.

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Achilleas Lazopoulos, Vera Paroutiadou. 2026-10-28. Two-loop BRST-restoring finite counter-terms for chiral non-abelian gauge theories. https://arxiv.org/abs/2610.38618

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