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Title: Renormalized approach to neutrinoless double-$β$ decay

Abstract

The process at the heart of neutrinoless double-$β$ decay, $$nn →\ pp\ e⁻ e⁻$$ induced by a light Majorana neutrino, is investigated in pionless and chiral effective field theory. We show in various regularization schemes the need to introduce a short-range lepton-number-violating operator at leading order, confirming earlier findings. We demonstrate that such a short-range operator is only needed in spin-singlet $S$-wave transitions, while leading-order transitions involving higher partial waves depend solely on long-range currents. Calculations are extended to include next-to-leading-order corrections in perturbation theory, where to this order no additional undetermined parameters appear. We establish a connection based on chiral symmetry between neutrinoless double-$β$ decay and nuclear charge-independence breaking induced by electromagnetism. Data on the latter confirm the need for a leading-order short-range operator but do not allow for a full determination of the corresponding lepton-number-violating coupling. Using a crude estimate of this coupling, we perform ab initio calculations of the matrix elements for neutrinoless double-$β$ decay for 6He and 12Be. We speculate on the phenomenological impact of the leading short-range operator on the basis of these results.

Authors:
 [1]; ORCiD logo [2]; ORCiD logo [3];  [1];  [1];  [4];  [5]; ORCiD logo [6];  [7]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division
  2. Univ. of California, San Diego, CA (United States). Dept. of Physics
  3. Univ. of Massachusetts, Amherst, MA (United States). Dept. of Physics. Amherst Center for Fundamental Interactions; Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN Research Center
  4. Washington Univ., St. Louis, MO (United States). Physics Dept. and McDonnell Center for the Space Sciences
  5. Washington Univ., St. Louis, MO (United States). Physics Dept.
  6. Univ. Paris-Sud, Orsay (France). Orsay Nuclear Physics Inst,; Univ. Paris-Saclay, Orsay (France); Univ. of Arizona, Tucson, AZ (United States). Dept. of Physics
  7. Argonne National Lab. (ANL), Argonne, IL (United States). Physics Division
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26), Washington, DC (United States); USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25), Washington, DC (United States); European Commission (EC)
Contributing Org.:
NUCLEI SciDAC and INCITE
OSTI Identifier:
1581232
Grant/Contract Number:  
AC02-06CH11357; FG02-04ER41338; SC0009919; AC52-06NA25396; 654002
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. C, Nuclear Physics
Additional Journal Information:
Journal Volume: 100; Journal Issue: 5; Journal ID: ISSN 0556-2813
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Cirigliano, V., Dekens, Wouter, de Vries, Jordy, Graesser, M. L., Mereghetti, E., Pastore, S., Piarulli, M., van Kolck, Ubirajara, and Wiringa, R. B. Renormalized approach to neutrinoless double-$β$ decay. United States: N. p., 2019. Web. doi:10.1103/PhysRevC.100.055504.
Cirigliano, V., Dekens, Wouter, de Vries, Jordy, Graesser, M. L., Mereghetti, E., Pastore, S., Piarulli, M., van Kolck, Ubirajara, & Wiringa, R. B. Renormalized approach to neutrinoless double-$β$ decay. United States. doi:10.1103/PhysRevC.100.055504.
Cirigliano, V., Dekens, Wouter, de Vries, Jordy, Graesser, M. L., Mereghetti, E., Pastore, S., Piarulli, M., van Kolck, Ubirajara, and Wiringa, R. B. Mon . "Renormalized approach to neutrinoless double-$β$ decay". United States. doi:10.1103/PhysRevC.100.055504.
@article{osti_1581232,
title = {Renormalized approach to neutrinoless double-$β$ decay},
author = {Cirigliano, V. and Dekens, Wouter and de Vries, Jordy and Graesser, M. L. and Mereghetti, E. and Pastore, S. and Piarulli, M. and van Kolck, Ubirajara and Wiringa, R. B.},
abstractNote = {The process at the heart of neutrinoless double-$β$ decay, $nn →\ pp\ e⁻ e⁻$ induced by a light Majorana neutrino, is investigated in pionless and chiral effective field theory. We show in various regularization schemes the need to introduce a short-range lepton-number-violating operator at leading order, confirming earlier findings. We demonstrate that such a short-range operator is only needed in spin-singlet $S$-wave transitions, while leading-order transitions involving higher partial waves depend solely on long-range currents. Calculations are extended to include next-to-leading-order corrections in perturbation theory, where to this order no additional undetermined parameters appear. We establish a connection based on chiral symmetry between neutrinoless double-$β$ decay and nuclear charge-independence breaking induced by electromagnetism. Data on the latter confirm the need for a leading-order short-range operator but do not allow for a full determination of the corresponding lepton-number-violating coupling. Using a crude estimate of this coupling, we perform ab initio calculations of the matrix elements for neutrinoless double-$β$ decay for 6He and 12Be. We speculate on the phenomenological impact of the leading short-range operator on the basis of these results.},
doi = {10.1103/PhysRevC.100.055504},
journal = {Physical Review. C, Nuclear Physics},
number = 5,
volume = 100,
place = {United States},
year = {2019},
month = {11}
}

Journal Article:
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