Fermion geometry and the renormalization of the Standard Model Effective Field Theory

A bstract 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...

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Bibliographic Details
Published in:The journal of high energy physics 2023-11, Vol.2023 (11), p.201-31, Article 201
Main Authors: Assi, Benoît, Helset, Andreas, Manohar, Aneesh V., Pagès, Julie, Shen, Chia-Hsien
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Differential and Algebraic Geometry
Effective Field Theories
Elementary Particles
Fermions
Field theory
Geometry
High energy physics
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
Scalars
SMEFT
String Theory
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Summary:A bstract 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP11(2023)201