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The fermionic universal one-loop effective action

Authors :: Tevong You
Pham Ngoc Hoa Vuong
Jérémie Quevillon
Zhengkang Zhang
Sebastian A. R. Ellis
Laboratoire de Physique Subatomique et de Cosmologie (LPSC)
Institut National de Physique Nucléaire et de Physique des Particules du CNRS (IN2P3)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )
Université Grenoble Alpes (UGA)
Vuong, Pham Ngoc Hoa [0000-0001-9778-1250]
Apollo - University of Cambridge Repository
Vuong, PNH [0000-0001-9778-1250]
Source :: JHEP, JHEP, 2020, 11, pp.078. ⟨10.1007/JHEP11(2020)078⟩, Journal of High Energy Physics, Vol 2020, Iss 11, Pp 1-29 (2020), Journal of High Energy Physics
Publication Year :: 2020
Publisher :: Springer Science and Business Media LLC, 2020.
Abstract: Recent development of path integral matching techniques based on the covariant derivative expansion has made manifest a universal structure of one-loop effective Lagrangians. The universal terms can be computed once and for all to serve as a reference for one-loop matching calculations and to ease their automation. Here we present the fermionic universal one-loop effective action (UOLEA), resulting from integrating out heavy fermions with scalar, pseudo-scalar, vector and axial-vector couplings. We also clarify the relation of the new terms computed here to terms previously computed in the literature and those that remain to complete the UOLEA. Our results can be readily used to efficiently obtain analytical expressions for effective operators arising from heavy fermion loops.<br />Comment: 27 pages, 8 tables, Mathematica notebook available at https://github.com/HoaVuong-lpsc/The-Fermionic-UOLEA-Mathematica-notebook