Renormalisation Group Equations for BRST-Restored Chiral Theory in Dimensional Renormalisation: Application to Two-Loop Chiral-QED

Abstract

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.

37 pages, 7 figures, 1 table; v2: Updated title, corrected typos, improved text, references added; v3: Text matching published version: improved study of "modified multiplicative renormalisation" setup in Section 3 and comparison with algebraic approach in Section 5, updated abstract and conclusion

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Cited by in corpus (2)

• Computing Tools for Effective Field Theories
• Symmetry Restoration in the SMEFT: Finite Counterterms for a Non-Anticommuting ${\gamma }_5$