Dimension-5 CP-odd operators: QCD mixing and renormalization

Abstract

We study the off-shell mixing and renormalization of flavor-diagonal dimension-5 T- and P-odd operators involving quarks, gluons, and photons, including quark electric dipole and chromo-electric dipole operators. We present the renormalization matrix to one-loop in the $\overline{\mathrm{MS}}$ scheme. We also provide a definition of the quark chromo-electric dipole operator in a regularization-independent momentum-subtraction scheme suitable for non-perturbative lattice calculations and present the matching coefficients with the $\overline{\mathrm{MS}}$ scheme to one-loop in perturbation theory, using both the naive dimensional regularization and 't Hooft-Veltman prescriptions for ${\gamma }_5$.

52 pages, 5 figures, 6 tables. Added section with comparison to DeltaS=1 chromo-magnetic operator

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• Reevaluation of Neutron Electric Dipole Moment with QCD Sum Rules
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• The chromomagnetic operator on the lattice
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• Towards grounding nuclear physics in QCD
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• On Lattice Calculation of Electric Dipole Moments and Form Factors of the Nucleon
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• Sum rules for CP-violating operators of Weinberg type
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• Machine Learning Estimators for Lattice QCD Observables
• Short flow-time coefficients of CP-violating operators
• Electric dipole moment constraints on CP-violating light-quark Yukawas
• Global Constraints on Yukawa Operators in the Standard Model Effective Theory
• Computing Tools for Effective Field Theories
• Non-perturbative renormalization scheme for the CP-odd three-gluon operator
• Electric dipole moment constraints on CP-violating heavy-quark Yukawas at next-to-leading order
• $K\to \pi$ matrix elements of the chromomagnetic operator on the lattice
• Relating hadronic CP-violation to higher-twist distributions
• One-loop matching of $CP$-odd four-quark operators to the gradient-flow scheme
• The Electric Dipole Moment of the electron in the decoupling limit of the aligned Two-Higgs Doublet Model
• Lattice QCD and the Neutron Electric Dipole Moment
• Effective Field Theory and Time-Reversal Violation in Light Nuclei
• Nonperturbative Renormalization of the Quark Chromoelectric Dipole Moment with the Gradient Flow:Power Divergences
• Progress in the Nucleon Electric Dipole Moment Calculations in Lattice QCD
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