Nonperturbative renormalization of the quark chromoelectric dipole moment with the gradient flow: Power divergences

The CP-violating quark chromoelectric dipole moment (qCEDM) operator, contributing to the electric dipole moment (EDM), mixes under renormalization and-particularly on the lattice-with the pseudoscalar density. The mixing coefficient is power-divergent with the inverse lattice spacing squared, 1/a2,...

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Bibliographic Details
Published in:Physical review. D 2021-10, Vol.104 (7), p.1, Article 074516
Main Authors: Kim, Jangho, Luu, Thomas, Rizik, Matthew D., Shindler, Andrea
Format: Article
Language:English
Subjects:
Dipole moments
Electric dipoles
Gradient flow
Quarks
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Summary:The CP-violating quark chromoelectric dipole moment (qCEDM) operator, contributing to the electric dipole moment (EDM), mixes under renormalization and-particularly on the lattice-with the pseudoscalar density. The mixing coefficient is power-divergent with the inverse lattice spacing squared, 1/a2, regardless of the lattice action used. We use the gradient flow to define a multiplicatively renormalized qCEDM operator and study its behavior at small flow time. We determine nonperturbatively the linearly divergent coefficient with the flow time, 1/t, up to subleading logarithmic corrections, and compare it with the 1-loop perturbative expansion in the bare and renormalized strong coupling. We also discuss the O ( a ) improvement of the qCEDM defined at positive flow time.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.104.074516