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A Guide to Functional Methods Beyond One-Loop Order

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arxiv 2412.12270 v2 pith:BJTZKX3L submitted 2024-12-16 hep-ph hep-th

Javier Fuentes-Martín , Adrián Moreno-Sánchez , Ajdin Palavrić , Anders Eller Thomsen This is my paper · ORCID
classification hep-phhep-th
keywords matchingmethodsbeyondeffectivefunctionalordertheoriestwo-loop
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Functional methods can be applied to the quantum effective action to efficiently determine counterterms and matching conditions for effective field theories. We extend the toolbox to two-loop order and beyond and show how to evaluate the expansion of the path integral in a manifestly gauge-covariant manner. We also generalize the method to theories with mixed spin statistics and prove the validity of the hard-region matching formula to all loop orders. The methods are exemplified with a two-loop matching calculation of the Euler-Heisenberg Lagrangian resulting from decoupling the electron in QED.

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Cited by 2 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 of general Effective Field Theories: Formalism and renormalization of bosonic operators

    hep-ph 2025-01 conditional novelty 7.0 of 10

    The authors compute, for the first time, the one-loop renormalization group equations of the bosonic operators of a completely general EFT up to mass dimension 6.

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