Dimension-eight Operator Basis for Universal Standard Model Effective Field Theory

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Auteurs principaux: Corbett, Tyler, Desai, Jay, Eboli, O. J. P., Gonzalez-Garcia, M. C.
Format: Preprint
Publié: 2024
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author Corbett, Tyler
Desai, Jay
Eboli, O. J. P.
Gonzalez-Garcia, M. C.
author_facet Corbett, Tyler
Desai, Jay
Eboli, O. J. P.
Gonzalez-Garcia, M. C.
contents 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 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 Ref. arXiv:2005.00059
format Preprint
id arxiv_https___arxiv_org_abs_2404_03720
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Dimension-eight Operator Basis for Universal Standard Model Effective Field Theory
Corbett, Tyler
Desai, Jay
Eboli, O. J. P.
Gonzalez-Garcia, M. C.
High Energy Physics - Phenomenology
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 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 Ref. arXiv:2005.00059
title Dimension-eight Operator Basis for Universal Standard Model Effective Field Theory
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2404.03720