The fermionic universal one-loop effective action
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 (Dirac or Majorana) 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.
Additional Information
© 2020 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: July 9, 2020; Accepted: October 10, 2020; Published: November 16, 2020. We thank the authors of ref. [32] for making us aware of their related work on fermionic results for the UOLEA being finalised at the same time as our manuscript. J.Q. thank the authors of ref. [11] for useful discussions. The work of J.Q. and P.N.H.V. was supported in part by the IN2P3 project "Théorie-BSMGA". T.Y. is supported by a Branco Weiss Society in Science fellowship and partially supported by STFC consolidated grant ST/P000681/1. S.A.R.E. would like to thank the "Institut de Physique Théorique de La Côte" for hospitality while this work was completed. S.A.R.E. is supported by the U.S. Department of Energy under Contract No. DE-AC02-76SF00515 and by the Swiss National Science Foundation, SNF project number P400P2_186678. Z.Z.'s work is supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-AC02-05CH11231.Attached Files
Published - Ellis2020_Article_TheFermionicUniversalOne-loopE.pdf
Submitted - 2006.16260.pdf
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Additional details
- Eprint ID
- 106706
- Resolver ID
- CaltechAUTHORS:20201117-114201347
- Institut National de Physique Nucléaire et de Physique des Particules (IN2P3)
- Branco Weiss Society in Science Fellowship
- Science and Technology Facilities Council (STFC)
- ST/P000681/1
- Department of Energy (DOE)
- DE-AC02-76SF00515
- Swiss National Science Foundation (SNSF)
- P400P2_186678
- Department of Energy (DOE)
- DE-AC02-05CH11231
- SCOAP3
- Created
-
2020-11-17Created from EPrint's datestamp field
- Updated
-
2021-11-16Created from EPrint's last_modified field
- Caltech groups
- Walter Burke Institute for Theoretical Physics