1. The fermionic universal one-loop effective action
- Author
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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, and Vuong, PNH [0000-0001-9778-1250]
- Subjects
High Energy Physics - Theory ,4902 Mathematical Physics ,Nuclear and High Energy Physics ,Scalar (mathematics) ,FOS: Physical sciences ,expansion: derivative ,fermion: heavy ,01 natural sciences ,Covariant derivative ,Theoretical physics ,High Energy Physics - Phenomenology (hep-ph) ,0103 physical sciences ,lcsh:Nuclear and particle physics. Atomic energy. Radioactivity ,structure ,010306 general physics ,Effective action ,Particle Physics - Phenomenology ,Gauge symmetry ,Physics ,Analytical expressions ,[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] ,010308 nuclear & particles physics ,hep-th ,effective Lagrangian ,hep-ph ,Effective Field Theories ,Fermion ,coupling: axial-vector ,High Energy Physics - Phenomenology ,MAJORANA ,effective action ,High Energy Physics - Theory (hep-th) ,Gauge Symmetry ,[PHYS.HPHE]Physics [physics]/High Energy Physics - Phenomenology [hep-ph] ,Beyond Standard Model ,Path integral formulation ,49 Mathematical Sciences ,lcsh:QC770-798 ,derivative: covariance ,Regular Article - Theoretical Physics ,51 Physical Sciences ,Particle Physics - Theory ,path integral ,5107 Particle and High Energy Physics - 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., Comment: 27 pages, 8 tables, Mathematica notebook available at https://github.com/HoaVuong-lpsc/The-Fermionic-UOLEA-Mathematica-notebook
- Published
- 2020
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