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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

A Guide to Functional Methods Beyond One-Loop Order

Javier Fuentes-Mart\'in , Adri\'an Moreno-S\'anchez , Ajdin Palavri\'c , Anders Eller Thomsen This is my paper
classification hep-ph hep-th
keywords matchingmethodsbeyondeffectivefunctionalordertheoriestwo-loop
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 4 Pith papers

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  4. Matchotter: An Automated Tool for Dimensional Reduction at Finite Temperature

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