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Renormalization of the Standard Model Effective Field Theory from geometry

Helset, Andreas ; Jenkins, Elizabeth E. ; Manohar, Aneesh V.

The journal of high energy physics, 2023-02, Vol.2023 (2), p.63-41, Article 63 [Peer Reviewed Journal]

Berlin/Heidelberg: Springer Berlin Heidelberg

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Title:
Renormalization of the Standard Model Effective Field Theory from geometry
Author: Helset, Andreas ; Jenkins, Elizabeth E. ; Manohar, Aneesh V.
Subjects: Classical and Quantum Gravitation ; Curvature ; Effective Field Theories ; Elementary Particles ; Field theory ; Formalism ; High energy physics ; Invariants ; Mathematical models ; Operators (mathematics) ; Physics ; Physics and Astronomy ; PHYSICS OF ELEMENTARY PARTICLES AND FIELDS ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Regular Article - Theoretical Physics ; Relativity Theory ; Renormalization Group ; S matrix theory ; SMEFT ; String Theory
Is Part Of: The journal of high energy physics, 2023-02, Vol.2023 (2), p.63-41, Article 63
Notes: USDOE Office of Science (SC), High Energy Physics (HEP)
SC0011632; SC0009919
Description: A bstract S -matrix elements are invariant under field redefinitions of the Lagrangian. They are determined by geometric quantities such as the curvature of the field-space manifold of scalar and gauge fields. We present a formalism where scalar and gauge fields are treated together, with a metric on the combined space of both types of fields. Scalar and gauge scattering amplitudes are given by the Riemann curvature R ijkl of this combined space, with indices i , j , k , l chosen to be scalar or gauge indices depending on the type of external particle. One-loop divergences can also be computed in terms of geometric invariants of the combined space, which greatly simplifies the computation of renormalization group equations. We apply our formalism to the Standard Model Effective Field Theory (SMEFT), and compute the renormalization group equations for even-parity bosonic operators to mass dimension eight.
Publisher: Berlin/Heidelberg: Springer Berlin Heidelberg
Language: English

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Renormalization of the Standard Model Effective Field Theory from geometry

Helset, Andreas ; Jenkins, Elizabeth E. ; Manohar, Aneesh V.

Berlin/Heidelberg: Springer Berlin Heidelberg

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