Dimension-eight operator basis for universal standard model effective field theory

Author(s)
Tyler Corbett, Jay Desai, Oscar J.P. Éboli, M.C. Gonzalez-Garcia
Abstract

We present the basis of dimension-eight operators associated with universal theories. We first derive a complete list of independent dimension-eight operators formed with the Standard Model bosonic fields characteristic of such universal new physics scenarios. Without imposing C or P symmetries the basis contains 175 operators—that is, the assumption of universality reduces the number of independent Standard Model effective field theory (SMEFT) coefficients at dimension eight from 44807 to 175. 89 of the 175 universal operators are included in the general dimension-eight operator basis in the literature. The 86 additional operators involve higher derivatives of the Standard Model bosonic fields and can be rotated in favor of operators involving fermions using the Standard Model equations of motion for the bosonic fields. By doing so we obtain the allowed fermionic operators generated in this class of models which we map into the corresponding 86 independent combinations of operators in the dimension-eight basis of [C. W. Murphy, Dimension-8 operators in the standard model effective field theory, J. High Energy Phys. 10 (2020) 174.].

Organisation(s)
Particle Physics
External organisation(s)
State University of New York, Stony Brook, University of São Paulo, Universitat Autònoma de Barcelona
Journal
Physical Review D
Volume
110
No. of pages
37
ISSN
2470-0010
Publication date
08-2024
Peer reviewed
Yes
Austrian Fields of Science 2012
103034 Particle physics
Portal url
https://ucrisportal.univie.ac.at/en/publications/111fa68e-08e3-468a-bb38-d6d7a7c3962b