@misc{10481/92137,
year = {2024},
month = {3},
url = {https://hdl.handle.net/10481/92137},
abstract = {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.},
organization = {Spanish Ministry of Science and Innovation (MCIN) and
the European Union NextGenerationEU/PRTR under grant IJC2020-043549-I},
organization = {MCIN and State Research Agency (SRA) projects
PID2019-106087GB-C22 and PID2022-139466NB-C21 (ERDF)},
organization = {Junta de Andalucía projects P21_00199 and FQM101},
organization = {Swiss National Science Foundation
(SNSF) through the Eccellenza Professorial Fellowship “Flavor Physics
at the High Energy Frontier” project number 186866},
organization = {Swiss National Science Foundation (SNSF) through the Ambizione
grant “Matching and Running: Improved Precision in the Hunt for New
Physics,” project number 209042},
publisher = {Elsevier},
title = {Functional matching and renormalization group equations at two-loop order},
doi = {10.1016/j.physletb.2024.138557},
author = {Fuentes Martín, Javier and Palavric, Ajdin and Thomsen, Anders Eller},
}