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Functional Matching and Renormalization Group Equations at Two-Loop Order

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arxiv 2311.13630 v2 pith:XQOIQ3IP submitted 2023-11-22 hep-ph

Javier Fuentes-Martín , Ajdin Palavrić , Anders Eller Thomsen This is my paper · ORCID
classification hep-ph
keywords functionalmatchingequationsgrouprenormalizationtwo-loopapplicablecoefficients
verification ladder T0 review T1 audit T2 compute T3 formal
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We present a systematic method for determining the two-loop effective Lagrangian resulting from integrating out a set of heavy particles in an ultraviolet scalar theory. We prove that the matching coefficients are entirely determined from the (double-)hard region of the loop integrals and present a master formula for matching, applicable to both diagrammatic and functional approaches. We further employ functional methods to determine compact expressions for the effective Lagrangian that do not rely on any previous knowledge of its structure or symmetries. The same methods are also applicable to the computation of renormalization group equations. We demonstrate the application of the functional approach by computing the two-loop matching coefficients and renormalization group equations in a scalar toy model.

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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 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.

  3. Complete two-loop Yukawa-induced running of the Higgs-gluon coupling in SMEFT

    hep-ph 2025-10 conditional novelty 6.0 of 10

    For the first time, the two-loop Yukawa-induced renormalisation-group running of the Higgs-gluon coupling from D^2H^4 and D H^2 ψ^2 SMEFT operators is computed.

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