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A Partially Fixed Background Field Gauge

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arxiv 2404.11640 v2 pith:GYHAH3WD submitted 2024-04-17 hep-ph

Anders Eller Thomsen This is my paper · ORCID
classification hep-ph
keywords gaugematchingfieldsymmetriestheorybackgroundbrokencancellation
verification ladder T0 review T1 audit T2 compute T3 formal
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We examine the incorporation of gauge symmetries in the modern effective field theory (EFT) matching paradigm with a particular focus on spontaneously broken symmetries. The presence of gauge symmetries entails the introduction of gauge-fixing terms in matching calculations, which may prevent (partial) cancellation between loops from the underlying theory and those of the EFT, thereby preventing the establishment of a hard-region matching formula. While this is not an issue when using the background field (BF) gauge for unbroken gauge theories, we find ourselves unable to demonstrate the cancellation with the ordinary BF gauge in spontaneously broken gauge theories when the massive vectors are heavy and decouple from the theory. As a convenient alternative, we construct a partially fixed BF gauge that, in addition to being simpler than the ordinary BF gauge, allows us to prove a hard-region matching formula.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. One-loop matching of the LEFT to the QCD gradient flow

    hep-ph 2026-01 conditional novelty 7.0 of 10

    All one-loop matching coefficients connecting the full baryon- and lepton-number-conserving low-energy effective field theory up to dimension six to the QCD gradient flow are computed.

  2. Renormalization-group equations of the LEFT at two loops: dimension-five effects

    hep-ph 2024-12 conditional novelty 7.0 of 10

    The complete two-loop renormalization-group equations for the dimension-five LEFT sector, derived in a chirally symmetric scheme, with two methods that avoid gauge-variant nuisance operators.

  3. A Guide to Functional Methods Beyond One-Loop Order

    hep-ph 2024-12 conditional novelty 7.0 of 10

    Functional methods are generalized to two-loop EFT matching and running with manifest gauge covariance, and the hard-region matching formula is proven to all loop orders.

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