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  • Letter
  • Open Access

Renormalization of CP-violating nuclear forces

Jordy de Vries1,2, Alex Gnech3, and Sachin Shain1

  • 1Department of Physics, Amherst Center for Fundamental Interactions, University of Massachusetts Amherst, Amherst, Massachusetts 01003, USA
  • 2RIKEN BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973-5000, USA
  • 3Department of Physics “E. Fermi,” University of Pisa, Largo Bruno Pontecorvo, 56127 Pisa, Italy

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Phys. Rev. C 103, L012501 – Published 28 January, 2021

DOI: https://doi.org/10.1103/PhysRevC.103.L012501

Abstract

Electric dipole moments of nuclei, diamagnetic atoms, and certain molecules are induced by CP-violating nuclear forces. Naive dimensional analysis predicts these forces to be dominated by long-range one-pion-exchange processes with short-range forces entering only at next-to-next-to-leading order in the chiral expansion. Based on renormalization arguments we argue that a consistent picture of CP-violating nuclear forces requires a leading-order short-distance operator contributing to S01−P03 transitions due to the attractive and singular nature of the strong tensor force in the P03 channel. The short-distance operator leads to O(1) corrections to static and oscillating, relevant for axion searches, electric dipole moments. We discuss strategies how the finite part of the associated low-energy constant can be determined in the case of CP violation from the QCD θ¯ term by the connection to charge-symmetry violation in nuclear systems.

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Phys. Rev. C 103, L012501– Published 28 January, 2021
  • Received 4 September 2020
  • Accepted 14 January 2021
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.

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