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.
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Acknowledgments
We thank K. Kirch, Ò. Lara Crosas, and L. Naterop for useful discussions and E. Mereghetti, C.J. Monahan, M.D. Rizik, and A. Shindler for collaboration on closely related projects. Furthermore, we thank Ò. Lara Crosas and E. Mereghetti for comments on the manuscript. Financial support by the Swiss National Science Foundation (Project No. PCEFP2_194272) is gratefully acknowledged.
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Bühler, J., Stoffer, P. One-loop matching of CP-odd four-quark operators to the gradient-flow scheme. J. High Energ. Phys. 2023, 194 (2023). https://doi.org/10.1007/JHEP08(2023)194
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DOI: https://doi.org/10.1007/JHEP08(2023)194