Renormalization-group equations of the LEFT at two loops: dimension-six operators

2025/07/11 by Naterop, Luca, Stoffer, Peter · 9 citations
#FOS: Physical sciences #High Energy Physics - Experiment (hep-ex) #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph)

paper · doi:10.48550/arxiv.2507.08926

Abstract

We present the third part of a systematic calculation of the two-loop anomalous dimensions for the low-energy effective field theory below the electroweak scale (LEFT): insertions of dimension-six operators that conserve baryon number. In line with our previous publications, we obtain the results in the algebraically consistent 't Hooft-Veltman scheme for γ₅, corrected for evanescent as well as chiral-symmetry-breaking effects through finite renormalizations. We compute the renormalization of the dimension-six four-fermion and three-gluon operators, as well as the power corrections to lower-dimension operators in the presence of masses, i.e., the down-mixing into dimension-five dipole operators, masses, gauge couplings, and theta terms. Our results are of interest for a broad range of low-energy precision searches for physics beyond the Standard Model.

Citations

• Two-loop anomalous dimensions for baryon-number-violating operators 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
• Four-Loop Renormalisation of Chiral Gauge Theories with Non-Anticommuting γ₅ in the BMHV Scheme
• Renormalization-group equations of the LEFT at two loops: dimension-six baryon-number-violating operators
• Two-loop Renormalization Group Equations in the νSMEFT
• Mapping between γ₅ schemes in the Standard Model Effective Field Theory
• Higgs production from anomalous gluon dynamics
• Two-loop renormalisation of quark and gluon fields in the SMEFT
• Two-Loop Anomalous Dimensions in the LEFT: Dimension-Six Four-Fermion Operators in NDR
• Renormalization-group equations of the LEFT at two loops: dimension-five effects
• A Guide to Functional Methods Beyond One-Loop Order
• Two-Loop Running in the Bosonic SMEFT Using Functional Methods
• A Procedure g5anchor to Anchor γ₅ in Feynman Diagrams for the Standard Model
• Two-loop running effects in Higgs physics in Standard Model Effective Field Theory
• Spurious gauge-invariance and γ₅ in Dimensional Regularization
• A Partially Fixed Background Field Gauge
• Field Redefinitions and Infinite Field Anomalous Dimensions
• On the two-loop penguin contributions to the Anomalous Dimensions of four-quark operators
• A Simple Dirac Prescription for Two-Loop Anomalous Dimension Matrices
• Full three-loop Renormalisation of an abelian chiral Gauge Theory with non-anticommuting γ₅ in the BMHV Scheme
• Two Loop Renormalization of Scalar Theories using a Geometric Approach
• An Algebraic Formula for Two Loop Renormalization of Scalar Quantum Field Theory
• Electric dipole moments and the search for new physics
• Matchmakereft: automated tree-level and one-loop matching
• Dimension-8 operators in the Standard Model Effective Field Theory
• Renormalization Group Evolution of Dimension-seven Baryon- and Lepton-number-violating Operators
• Extending the standard model effective field theory with the complete set of dimension-7 operators
• Dimension-Six Terms in the Standard Model Lagrangian
• Two-loop QCD anomalous dimensions of flavour-changing four-quark operators within and beyond the Standard Model

Cited by

• Renormalization of general Effective Field Theories: Renormalization of fermionic operators
• On the Renormalization Group in EFTs: On-Shell Bases, Ambiguities, and Divergences
• Two-loop renormalization of general bosonic effective field theories
• The Price of a Large Electron Yukawa Modification
• Two-loop anomalous dimensions for baryon-number-violating operators in SMEFT
• Two-loop renormalisation of quark and gluon fields in the SMEFT in the on-shell scheme
• Symmetry Restoration in the SMEFT: Finite Counterterms for a Non-Anticommuting γ₅
• Diagonalising the LEFT
• Parity violation in Møller scattering within low-energy effective field theory

Related

• Renormalization-group equations of the LEFT at two loops: dimension-six baryon-number-violating operators
• Renormalization-group equations of the LEFT at two loops: dimension-five effects
• Two-Loop Anomalous Dimensions in the LEFT: Dimension-Six Four-Fermion Operators in NDR
• Two loops, four tops and two γ₅ schemes: a renormalization story
• Two-loop anomalous dimensions for baryon-number-violating operators in SMEFT