Fermion Geometry and the Renormalization of the Standard Model Effective Field Theory
High Energy Physics - Phenomenology
2023-07-07 v1 High Energy Physics - Theory
Abstract
The geometry of field space governs on-shell scattering amplitudes. We formulate a geometric description of effective field theories which extends previous results for scalars and gauge fields to fermions. The field-space geometry reorganizes and simplifies the computation of quantum loop corrections. Using this geometric framework, we calculate the fermion loop contributions to the renormalization group equations for bosonic operators in the Standard Model Effective Field Theory up to mass dimension eight.
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Cite
@article{arxiv.2307.03187,
title = {Fermion Geometry and the Renormalization of the Standard Model Effective Field Theory},
author = {Benoît Assi and Andreas Helset and Aneesh V. Manohar and Julie Pagès and Chia-Hsien Shen},
journal= {arXiv preprint arXiv:2307.03187},
year = {2023}
}
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28 pages