@misc{10481/106675,
year = {2025},
month = {8},
url = {https://hdl.handle.net/10481/106675},
abstract = {Functional methods can be applied to the quantum efective action to efciently
determine counterterms and matching conditions for efective feld 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 exemplifed with a two-loop matching calculation of the
Euler–Heisenberg Lagrangian resulting from decoupling the electron in QED.},
organization = {MICIU/AEI - FEDER/UE (PID2022-139466NBC21)},
organization = {Junta de Andalucía (P21_00199, FQM101, AST22_6.5)},
organization = {MCIN/AEI - European Union NextGenerationEU/PRTR (IJC2020-043549-I, EUR2024.153549)},
organization = {Swiss National Science Foundation (SNSF) (grants: 186866; 209042)},
publisher = {Springer},
keywords = {Efective Field Theories},
keywords = {Renormalization Group},
keywords = {SMEFT},
title = {A guide to functional methods beyond one-loop order},
doi = {10.1007/jhep08(2025)099},
author = {Fuentes Martín, Javier and Moreno-Sánchez, Adrián and Palavric, Ajdin and Thomsen, Anders Eller},
}