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arXiv · 1502.07325

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

T. Bhattacharya·V. Cirigliano·R. Gupta·E. Mereghetti·B. Yoon
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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 $\bar{\rm MS}$ 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 $\bar{\rm MS}$ scheme to one-loop in perturbation theory, using both the naive dimensional regularization and 't Hooft-Veltman prescriptions for $γ_5$.

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T. Bhattacharya, V. Cirigliano, R. Gupta, E. Mereghetti, B. Yoon. 2016-08-01. Dimension-5 CP-odd operators: QCD mixing and renormalization. https://doi.org/10.1103/physrevd.92.114026

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