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Title: Neutrinoless double- β decay in effective field theory: The light-Majorana neutrino-exchange mechanism

Abstract

We present the first chiral effective theory derivation of the neutrinoless double-β decay nn→pp potential induced by light Majorana neutrino exchange. The effective-field-theory framework has allowed us to identify and parametrize short- and long-range contributions previously missed in the literature. These contributions cannot be absorbed into parametrizations of the single-nucleon form factors. Starting from the quark and gluon level, we perform the matching onto chiral effective field theory and subsequently onto the nuclear potential. To derive the nuclear potential mediating neutrinoless double-β decay, the hard, soft, and potential neutrino modes must be integrated out. This is performed through next-to-next-to-leading order in the chiral power counting, in both the Weinberg and pionless schemes. At next-to-next-to-leading order, the amplitude receives additional contributions from the exchange of ultrasoft neutrinos, which can be expressed in terms of nuclear matrix elements of the weak current and excitation energies of the intermediate nucleus. These quantities also control the two-neutrino double-β decay amplitude. Finally, we outline strategies to determine the low-energy constants that appear in the potentials, by relating them to electromagnetic couplings and/or by matching to lattice QCD calculations.

Authors:
 [1];  [1];  [1];  [2]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21)
OSTI Identifier:
1441110
Alternate Identifier(s):
OSTI ID: 1461170; OSTI ID: 1477716
Report Number(s):
LA-UR-17-28401
Journal ID: ISSN 2469-9985; PRVCAN; ark:/13030/qt39b399gb
Grant/Contract Number:  
AC02-05CH11231; AC52-06NA25396
Resource Type:
Journal Article: Published Article
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 97; Journal Issue: 6; Related Information: © 2018 authors. Published by the American Physical Society. 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 SCOAP 3 .; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Atomic and Nuclear Physics

Citation Formats

Cirigliano, Vincenzo, Dekens, Wouter, Mereghetti, Emanuele, and Walker-Loud, Andre. Neutrinoless double-β decay in effective field theory: The light-Majorana neutrino-exchange mechanism. United States: N. p., 2018. Web. doi:10.1103/PhysRevC.97.065501.
Cirigliano, Vincenzo, Dekens, Wouter, Mereghetti, Emanuele, & Walker-Loud, Andre. Neutrinoless double-β decay in effective field theory: The light-Majorana neutrino-exchange mechanism. United States. doi:10.1103/PhysRevC.97.065501.
Cirigliano, Vincenzo, Dekens, Wouter, Mereghetti, Emanuele, and Walker-Loud, Andre. Mon . "Neutrinoless double-β decay in effective field theory: The light-Majorana neutrino-exchange mechanism". United States. doi:10.1103/PhysRevC.97.065501.
@article{osti_1441110,
title = {Neutrinoless double-β decay in effective field theory: The light-Majorana neutrino-exchange mechanism},
author = {Cirigliano, Vincenzo and Dekens, Wouter and Mereghetti, Emanuele and Walker-Loud, Andre},
abstractNote = {We present the first chiral effective theory derivation of the neutrinoless double-β decay nn→pp potential induced by light Majorana neutrino exchange. The effective-field-theory framework has allowed us to identify and parametrize short- and long-range contributions previously missed in the literature. These contributions cannot be absorbed into parametrizations of the single-nucleon form factors. Starting from the quark and gluon level, we perform the matching onto chiral effective field theory and subsequently onto the nuclear potential. To derive the nuclear potential mediating neutrinoless double-β decay, the hard, soft, and potential neutrino modes must be integrated out. This is performed through next-to-next-to-leading order in the chiral power counting, in both the Weinberg and pionless schemes. At next-to-next-to-leading order, the amplitude receives additional contributions from the exchange of ultrasoft neutrinos, which can be expressed in terms of nuclear matrix elements of the weak current and excitation energies of the intermediate nucleus. These quantities also control the two-neutrino double-β decay amplitude. Finally, we outline strategies to determine the low-energy constants that appear in the potentials, by relating them to electromagnetic couplings and/or by matching to lattice QCD calculations.},
doi = {10.1103/PhysRevC.97.065501},
journal = {Physical Review C},
number = 6,
volume = 97,
place = {United States},
year = {Mon Jun 11 00:00:00 EDT 2018},
month = {Mon Jun 11 00:00:00 EDT 2018}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevC.97.065501

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Cited by: 1 work
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