Renormalization of general Effective Field Theories: Renormalization of fermionic operators

2025/12/17 by Fonseca, Renato M., Olgoso, Pablo, Santiago, José
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2512.15866

Abstract

Renormalization group equations play a central role in effective field theories, both maintaining perturbative control and allowing one to determine the correct low-energy phenomenology. In this work, we complete the one-loop renormalization of the recently developed general effective field theory up to mass dimension six by providing the beta functions for physical fermionic operators. Together with Ref. [1], our results allow one to renormalize any effective theory up to dimension six at one loop using only a group-theoretical calculation.

Citations

• Two-loop renormalization of general bosonic effective field theories
• Dijet bounds on third-generation four-quark operators
• New insights into two-loop running in effective field theories
• Complete two-loop Yukawa-induced running of the Higgs-gluon coupling in SMEFT
• Two-loop renormalisation of quark and gluon fields in the SMEFT in the on-shell scheme
• Two loops, four tops and two γ₅ schemes: a renormalization story
• Renormalization-group equations of the LEFT at two loops: dimension-six operators
• Renormalization-group equations of the LEFT at two loops: dimension-six baryon-number-violating operators
• Higgs production from anomalous gluon dynamics
• Two-loop renormalisation of quark and gluon fields in the SMEFT
• Anomalous Dimension of a General Effective Gauge Theory I: Bosonic Sector
• One-loop Renormalization Group Equations in Generic Effective Field Theories. Part I: Bosonic Operators
• Renormalization of general Effective Field Theories: Formalism and renormalization of bosonic operators
• Two-Loop Anomalous Dimensions in the LEFT: Dimension-Six Four-Fermion Operators in NDR
• From the EFT to the UV: the complete SMEFT one-loop dictionary
• Renormalization-group equations of the LEFT at two loops: dimension-five effects
• Two-Loop Running in the Bosonic SMEFT Using Functional Methods
• Renormalization of the SMEFT to dimension eight: Fermionic interactions I
• Probing dimension-8 SMEFT operators through neutral meson mixing
• Two-loop running effects in Higgs physics in Standard Model Effective Field Theory
• On the two-loop penguin contributions to the Anomalous Dimensions of four-quark operators
• Fermion Geometry and the Renormalization of the Standard Model Effective Field Theory
• Towards the one loop IR/UV dictionary in the SMEFT: one loop generated operators from new scalars and fermions
• Towards the renormalisation of the Standard Model effective field theory to dimension eight: Bosonic interactions II
• Matchmakereft: automated tree-level and one-loop matching
• Standard Model EFTs via On-Shell Methods

Related

• Renormalization of general Effective Field Theories: Formalism and renormalization of bosonic operators
• One-loop Renormalization Group Equations in Generic Effective Field Theories. Part I: Bosonic Operators
• Two-loop renormalization of general bosonic effective field theories
• Anomalous Dimension of a General Effective Gauge Theory II: Fermionic Sector
• Criteria of Renormalizability in Effective Field Theories