One-loop matching of $CP$-odd four-quark operators to the gradient-flow scheme

Abstract

The translation of experimental limits on the neutron electric dipole moment into constraints on heavy $CP$-violating physics beyond the Standard Model requires knowledge about non-perturbative matrix elements of effective operators, which ideally should be computed in lattice QCD. However, this necessitates a matching calculation as an interface to the effective field theory framework, which is based on dimensional regularization and renormalization by minimal subtraction. We calculate the one-loop matching between the gradient-flow and minimal-subtraction schemes for the $CP$-violating four-quark operators contributing to the neutron electric dipole moment. The gradient flow is a modern regularization-independent scheme amenable to lattice computations that promises, e.g., better control over power divergences than traditional momentum-subtraction schemes. Our results extend previous work on dimension-five operators and provide a necessary ingredient for future lattice-QCD computations of the contribution of four-quark operators to the neutron electric dipole moment.

arXiv comment28 pages, 7 figures, 1 table; version published in JHEP

References in corpus (31)

• Dimension-Six Terms in the Standard Model Lagrangian
• Asymptotic expansion of Feynman integrals near threshold
• New Developments in FeynCalc 9.0
• Renormalization Group Evolution of the Standard Model Dimension Six Operators III: Gauge Coupling Dependence and Phenomenology
• Properties and uses of the Wilson flow in lattice QCD
• Renormalization Group Evolution of the Standard Model Dimension Six Operators II: Yukawa Dependence
• Renormalization Group Evolution of the Standard Model Dimension Six Operators I: Formalism and lambda Dependence
• FeynCalc 9.3: New features and improvements
• The three-loop QCD $\beta$-function and anomalous dimensions
• Electric Dipole Moments of the Atoms, Molecules, Nuclei and Particles
• Perturbative analysis of the gradient flow in non-abelian gauge theories
• Low-Energy Effective Field Theory below the Electroweak Scale: Operators and Matching
• A new bound on the electron's electric dipole moment
• Low-Energy Effective Field Theory below the Electroweak Scale: Anomalous Dimensions
• Chiral symmetry and the Yang--Mills gradient flow
• Low-energy effective field theory below the electroweak scale: matching at one loop
• Evanescent Operators, Scheme Dependences and Double Insertions
• Facts of life with gamma(5)
• Neutron Electric Dipole Moment In The Standard Model: Valence Quark Contributions
• A Proof of Concept for Matchete: An Automated Tool for Matching Effective Theories
• Lattice energy-momentum tensor from the Yang-Mills gradient flow -- inclusion of fermion fields
• Performance of the upgraded ultracold neutron source at Los Alamos National Laboratory and its implication for a possible neutron electric dipole moment experiment
• Dimension-5 CP-odd operators: QCD mixing and renormalization
• Direct and indirect constraints on CP-violating Higgs-quark and Higgs-gluon interactions
• Reexamination of The Standard Model Nucleon Electric Dipole Moment
• The PanEDM Neutron Electric Dipole Moment Experiment at the ILL
• Small flow-time representation of fermion bilinear operators
• Four quark operators for kaon bag parameter with gradient flow
• Non-perturbative renormalization scheme for the CP-odd three-gluon operator
• Effective electroweak Hamiltonian in the gradient-flow formalism
• Background field method in the gradient flow

Cited by in corpus (6)

• Low-energy effective field theory below the electroweak scale: one-loop renormalization in the 't Hooft-Veltman scheme
• Computing Tools for Effective Field Theories
• Renormalization-group equations of the LEFT at two loops: dimension-five effects
• Short-flow-time expansion of quark bilinears through next-to-next-to-leading order QCD
• Renormalization-group equations of the LEFT at two loops: dimension-six operators
• One-loop matching of the LEFT to the QCD gradient flow