Renormalisation group equations for BRST-restored chiral theory in dimensional renormalisation: application to two-loop chiral-QED

We discuss how renormalisation group equations can be consistently formulated using the algebraic renormalisation framework, in the context of a dimensionally-renormalised chiral field theory in the BMHV scheme, where the BRST symmetry, originally broken at the quantum level, is restored via finite counterterms. We compare it with the more standard multiplicative renormalisation approach, which application would be more cumbersome in this setting. Both procedures are applied and compared on the example of a massless chiral right-handed QED model, and beta-function and anomalous dimensions are evaluated up to two-loop orders.

Automated summary

We discuss the consistent formulation of renormalisation group equations using the algebraic renormalisation framework in the context of a dimensionally-renormalised chiral field theory in the BMHV scheme. The BRST symmetry, initially broken at the quantum level, is restored via finite counterterms. We compare this with the more standard multiplicative renormalisation approach and apply both procedures to evaluate the beta-function and anomalous dimensions of a massless chiral right-handed QED model up to two-loop orders.