Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

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

Journal Article · · Journal of High Energy Physics (Online)
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.
Research Organization:
California Institute of Technology (CalTech), Pasadena, CA (United States); Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP); Walter Burke Institute for Theoretical Physics
Grant/Contract Number:
AC02-07CH11359; SC0009919; SC0011632
OSTI ID:
1989923
Alternate ID(s):
OSTI ID: 2479763
Report Number(s):
FERMILAB-PUB--23-362-T; arXiv:2307.03187; oai:inspirehep.net:2674839
Journal Information:
Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 11 Vol. 2023; ISSN 1029-8479
Publisher:
Springer NatureCopyright Statement
Country of Publication:
United States
Language:
English

References (49)

Riemannian geometry in spaces with Grassman coordinates journal January 1976
Geometrical structure and ultraviolet finiteness in the supersymmetric ?-model journal September 1981
Tentativo di una Teoria Dei Raggi β journal January 1934
Renormalization group evolution of the Standard Model dimension six operators II: Yukawa dependence journal January 2014
Low-energy effective field theory below the electroweak scale: anomalous dimensions journal January 2018
One-loop matching and running with covariant derivative expansion journal January 2018
Renormalization of the Standard Model Effective Field Theory from geometry journal February 2023
Low-energy effective field theory below the electroweak scale: operators and matching journal March 2018
The geometric Standard Model Effective Field Theory journal March 2020
Is SMEFT enough? journal March 2021
Renormalization group evolution of the Standard Model dimension six operators III: gauge coupling dependence and phenomenology journal April 2014
Geometric soft theorems journal April 2022
EWPD in the SMEFT to dimension eight journal June 2021
Renormalisation of SMEFT bosonic interactions up to dimension eight by LNV operators journal June 2023
Geometry of the scalar sector journal August 2016
Dimension-six terms in the Standard Model Lagrangian journal October 2010
Renormalization group evolution of the standard model dimension six operators. I: formalism and λ dependence journal October 2013
Low-energy effective field theory below the electroweak scale: matching at one loop journal October 2019
Dimension-8 operators in the Standard Model Effective Field Theory journal October 2020
Exact SMEFT formulation and expansion to $$ \mathcal{O} $$(v4/Λ4) journal November 2020
Standard Model EFTs via on-shell methods journal November 2021
Unitarity violation and the geometry of Higgs EFTs journal December 2021
Consistent higher order $$ \sigma \left(\mathcal{GG}\to h\right) $$, $$ \Gamma \left(h\to \mathcal{GG}\right) $$ and Γ(h → γγ) in geoSMEFT journal December 2021
Change of variables and equivalence theorems in quantum field theories journal December 1961
Change of variables in quantum field theories journal August 1961
Reduced effective lagrangians journal January 1995
Chiral multi-loops journal January 1972
An algorithm for the poles at dimension four in the dimensional regularization procedure journal October 1973
Power corrections at short distances journal January 1980
The one-loop functional as a Berezinian journal October 1998
Complete one-loop renormalization of the Higgs-electroweak chiral Lagrangian journal March 2018
Holomorphy without supersymmetry in the Standard Model Effective Field Theory journal December 2014
A geometric formulation of Higgs Effective Field Theory: Measuring the curvature of scalar field space journal March 2016
Minimal supergeometric quantum field theories journal November 2023
Supermanifolds book January 1992
Realization of Chiral Symmetry in a Curved Isospin Space journal April 1969
Scalar and fermion on-shell amplitudes in generalized Higgs effective field theory journal July 2021
Complete set of dimension-eight operators in the standard model effective field theory journal July 2021
Geometry-kinematics duality journal August 2022
Geometry in scattering amplitudes journal December 2022
Chiral-Invariant Perturbation Theory journal April 1971
Renormalization group evolution of Higgs effective field theory journal February 2018
Nonrenormalization Theorems without Supersymmetry journal August 2015
Gauge Fixing the Standard Model Effective Field Theory journal June 2018
On-Shell Covariance of Quantum Field Theory Amplitudes journal January 2023
Frame covariant formalism for fermionic theories journal July 2021
Towards the renormalisation of the Standard Model effective field theory to dimension eight: bosonic interactions II journal August 2022
Supermanifolds book April 2007
Towards the renormalisation of the Standard Model effective field theory to dimension eight: Bosonic interactions I journal September 2021

Similar Records

Renormalization of the Standard Model Effective Field Theory from geometry
Journal Article · Mon Feb 06 19:00:00 EST 2023 · Journal of High Energy Physics (Online) · OSTI ID:2223085

Renormalizing two-fermion operators in the SMEFT via supergeometry
Journal Article · Wed Dec 10 19:00:00 EST 2025 · Journal of High Energy Physics (Online) · OSTI ID:2564426