Large-N<sub>c</sub> analysis of two-nucleon neutrinoless double beta decay and charge-independence-breaking contact terms

ORAL

Abstract

Analyzing the process nn→ppe-e- with the exchange of a light Majorana neutrino, Cirigliano et al. [Phys. Rev. Lett. 120, 202001 (2018)] showed that in chiral effective field theory (ChEFT) a lepton-number-violating contact term is required at leading order in the ChEFT power counting. To estimate the impact of this new contribution, Cirigliano et al. related its size to a combination of isotensor charge-independence-breaking (CIB) nucleon-nucleon interactions by making an assumption about the relative sizes and signs of the isotensor CIB terms. We show that these assumptions can be justified in the limit of the number of color charges Nc becoming large, lending support to the numerical estimates of Cirigliano et al.

*This material is based upon work supported by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics.

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Publication: T. R. Richardson, M. R. Schindler, S. Pastore and R. P. Springer, Large-$N_c$ analysis of two-nucleon neutrinoless double-$\beta$ decay and charge-independence-breaking contact terms, Phys. Rev. C \textbf{103}, no.5, 055501 (2021) doi:10.1103/PhysRevC.103.055501

Presenters

  • Matthias R Schindler

    • University of South Carolina

Authors

  • Matthias R Schindler

    • University of South Carolina

  • Thomas R Richardson

    • Univ of South Carolina
    • University of South Carolina

  • Roxanne P Springer

    • Duke University

  • Saori Pastore

    • Washington University, St. Louis
    • Washington U. in St. Louis