Renormalized approach to neutrinoless double-$β$ decay

Cirigliano, Vincenzo; Dekens, Wouter; de Vries, Jordy; Graesser, Michael Lawrence; Mereghetti, Emanuele; Pastore, S.; Piarulli, M.; van Kolck, Ubirajara; Wiringa, R. B.

doi:10.1103/PhysRevC.100.055504

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];

^[2];

^[3];

^[1];

^[1]; Pastore, S. ^[4]; Piarulli, M. ^[5];

^[6]; Wiringa, R. B. ^[7]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division
Univ. of California, San Diego, CA (United States). Dept. of Physics
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
Washington Univ., St. Louis, MO (United States). Physics Dept. and McDonnell Center for the Space Sciences
Washington Univ., St. Louis, MO (United States). Physics Dept.
Univ. Paris-Sud, Orsay (France). Orsay Nuclear Physics Inst,; Univ. Paris-Saclay, Orsay (France); Univ. of Arizona, Tucson, AZ (United States). Dept. of Physics
Argonne National Lab. (ANL), Argonne, IL (United States). Physics Division

Publication Date:: 2019-11-25

Research Org.:: Argonne National Lab. (ANL), Argonne, IL (United States); Michigan State Univ., East Lansing, MI (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Office of Science (SC), High Energy Physics (HEP); European Commission (EC); Laboratory Directed Research & Development (LDRD)

Contributing Org.:: NUCLEI SciDAC and INCITE

OSTI Identifier:: 1581232

Alternate Identifier(s):: OSTI ID: 1607445; OSTI ID: 1608679

Report Number(s):: LA-UR-19-26002
Journal ID: ISSN 0556-2813; 154037; TRN: US2101052

Grant/Contract Number:: AC02-06CH11357; FG02-04ER41338; SC0009919; AC52-06NA25396; 654002; SC0013617; 89233218CNA000001

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; Atomic, Nuclear and Particle Physics

Citation Formats


                    Cirigliano, Vincenzo, Dekens, Wouter, de Vries, Jordy, Graesser, Michael Lawrence, Mereghetti, Emanuele, 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.

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                    Cirigliano, Vincenzo, Dekens, Wouter, de Vries, Jordy, Graesser, Michael Lawrence, Mereghetti, Emanuele, Pastore, S., Piarulli, M., van Kolck, Ubirajara, & Wiringa, R. B. Renormalized approach to neutrinoless double-$β$ decay.  United States.  https://doi.org/10.1103/PhysRevC.100.055504

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                    Cirigliano, Vincenzo, Dekens, Wouter, de Vries, Jordy, Graesser, Michael Lawrence, Mereghetti, Emanuele, Pastore, S., Piarulli, M., van Kolck, Ubirajara, and Wiringa, R. B. Mon .  
"Renormalized approach to neutrinoless double-$β$ decay".  United States.  https://doi.org/10.1103/PhysRevC.100.055504.  https://www.osti.gov/servlets/purl/1581232.

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@article{osti_1581232,

  title        = {Renormalized approach to neutrinoless double-$β$ decay},

  author       = {Cirigliano, Vincenzo and Dekens, Wouter and de Vries, Jordy and Graesser, Michael Lawrence and Mereghetti, Emanuele 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}

}

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Works referencing / citing this record:

Local Nucleon-Nucleon and Three-Nucleon Interactions Within Chiral Effective Field Theory
journal, January 2020

Piarulli, Maria; Tews, Ingo
Frontiers in Physics, Vol. 7
DOI: 10.3389/fphy.2019.00245

Local nucleon-nucleon and three-nucleon interactions within chiral effective field theory
text, January 2020

Piarulli, Maria; Tews, Ingo
arXiv
DOI: 10.48550/arxiv.2002.00032

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

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First Result on the Neutrinoless Double- $β$ Decay of ${}^{82}{Se}$ with CUPID-0
journal, June 2018

The three-boson system with short-range interactions
journal, February 1999

Light-Neutrino Exchange and Long-Distance Contributions to $0 ν 2 β$ Decays: An Exploratory Study on $π π \to e e$
journal, January 2019

Renormalization of the Three-Body System with Short-Range Interactions
journal, January 1999

Phenomenological aspects of isospin violation in the nuclear force
journal, March 1996

Proton-Proton Fusion and Tritium $β$ Decay from Lattice Quantum Chromodynamics
journal, August 2017

Quenching of nuclear matrix elements for $0 ν β β$ decay by chiral two-body currents
journal, September 2018

First Results from CUORE: A Search for Lepton Number Violation via $0 ν β β$ Decay of ${}^{130}{Te}$
journal, March 2018

Improved Limit on Neutrinoless Double- $β$ Decay of ${}^{76}{Ge}$ from GERDA Phase II
journal, March 2018

Two-nucleon potential from chiral Lagrangians
journal, May 1996

Search for Neutrinoless Double- $β$ Decay in ${}^{76}{Ge}$ with the Majorana Demonstrator
journal, March 2018

Ground-state energy of pionic hydrogen to one loop
journal, November 2002

Discrepancy between experimental and theoretical β-decay rates resolved from first principles
journal, March 2019

Heavy Physics Contributions to Neutrinoless Double Beta Decay from QCD
journal, October 2018

Renormalization of the $NN$ interaction with a chiral two-pion exchange potential. II. Noncentral phases
journal, December 2006

Spectra and scattering of light lattice nuclei from effective field theory
journal, November 2015

Effective field theory of short-range forces
journal, January 1999

Local chiral potentials with $Δ$ -intermediate states and the structure of light nuclei
journal, November 2016

Short-range neutrinoless double beta decay mechanisms
journal, November 2018

Charge symmetry, quarks and mesons
journal, October 1990

The Interpretation of Low Energy Proton-Proton Scattering
journal, January 1950

E FFECTIVE F IELD T HEORY FOR F EW -N UCLEON S YSTEMS
journal, December 2002

Results on Neutrinoless Double- $β$ Decay of ${}^{76}{Ge}$ from Phase I of the GERDA Experiment
journal, September 2013

Effective chiral lagrangians for nucleon-pion interactions and nuclear forces
journal, September 1991

Short-range nuclear forces in singlet channels
journal, August 2012