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

Author:

Corbett Tyler1ORCID,Desai Jay2ORCID,Éboli O. J. P.3ORCID,Gonzalez-Garcia M. C.245ORCID

Affiliation:

1. University of Vienna

2. Stony Brook University

3. Universidade de São Paulo

4. Universitat de Barcelona

5. Institució Catalana de Recerca i Estudis Avançats (ICREA)

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, .]. Published by the American Physical Society 2024

Funder

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Fundação de Amparo à Pesquisa do Estado de São Paulo

National Science Foundation

Horizon 2020 Framework Programme

H2020 Marie Skłodowska-Curie Actions

HORIZON EUROPE Framework Programme

Ministerio de Ciencia e Innovación

Agencia Estatal de Investigación

Generalitat de Catalunya

Publisher

American Physical Society (APS)

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