DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Light-Neutrino Exchange and Long-Distance Contributions to 0 ν 2 β Decays: An Exploratory Study on π π e e

Abstract

In this article we present an exploratory lattice QCD calculation of the neutrinoless double beta decay $$\pi\pi\to ee$$. Under the mechanism of light-neutrino exchange, the decay amplitude involves significant long-distance contributions. The calculation reported here, with pion masses $$m_\pi=420$$ and 140 MeV, demonstrates that the decay amplitude can be computed from first principles using lattice methods. At unphysical and physical pion masses, we obtain that amplitudes are $$24\%$$ and $$9\%$$ smaller than the predication from leading order chiral perturbation theory. Our findings provide the lattice QCD inputs and constraints for effective field theory. A follow-on calculation with fully controlled systematic errors will be possible with adequate computational resources.

Authors:
; ; ;
Publication Date:
Research Org.:
Univ. of Connecticut, Storrs, CT (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1490910
Alternate Identifier(s):
OSTI ID: 1596012
Grant/Contract Number:  
AC02-06CH11357; SC0010339
Resource Type:
Published Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Name: Physical Review Letters Journal Volume: 122 Journal Issue: 2; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Feng, Xu, Jin, Lu-Chang, Tuo, Xin-Yu, and Xia, Shi-Cheng. Light-Neutrino Exchange and Long-Distance Contributions to 0 ν 2 β Decays: An Exploratory Study on π π → e e. United States: N. p., 2019. Web. doi:10.1103/PhysRevLett.122.022001.
Feng, Xu, Jin, Lu-Chang, Tuo, Xin-Yu, & Xia, Shi-Cheng. Light-Neutrino Exchange and Long-Distance Contributions to 0 ν 2 β Decays: An Exploratory Study on π π → e e. United States. https://doi.org/10.1103/PhysRevLett.122.022001
Feng, Xu, Jin, Lu-Chang, Tuo, Xin-Yu, and Xia, Shi-Cheng. Tue . "Light-Neutrino Exchange and Long-Distance Contributions to 0 ν 2 β Decays: An Exploratory Study on π π → e e". United States. https://doi.org/10.1103/PhysRevLett.122.022001.
@article{osti_1490910,
title = {Light-Neutrino Exchange and Long-Distance Contributions to 0 ν 2 β Decays: An Exploratory Study on π π → e e},
author = {Feng, Xu and Jin, Lu-Chang and Tuo, Xin-Yu and Xia, Shi-Cheng},
abstractNote = {In this article we present an exploratory lattice QCD calculation of the neutrinoless double beta decay $\pi\pi\to ee$. Under the mechanism of light-neutrino exchange, the decay amplitude involves significant long-distance contributions. The calculation reported here, with pion masses $m_\pi=420$ and 140 MeV, demonstrates that the decay amplitude can be computed from first principles using lattice methods. At unphysical and physical pion masses, we obtain that amplitudes are $24\%$ and $9\%$ smaller than the predication from leading order chiral perturbation theory. Our findings provide the lattice QCD inputs and constraints for effective field theory. A follow-on calculation with fully controlled systematic errors will be possible with adequate computational resources.},
doi = {10.1103/PhysRevLett.122.022001},
journal = {Physical Review Letters},
number = 2,
volume = 122,
place = {United States},
year = {Tue Jan 15 00:00:00 EST 2019},
month = {Tue Jan 15 00:00:00 EST 2019}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevLett.122.022001

Citation Metrics:
Cited by: 22 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Challenges in Double Beta Decay
journal, January 2014

  • Cremonesi, Oliviero; Pavan, Maura
  • Advances in High Energy Physics, Vol. 2014
  • DOI: 10.1155/2014/951432

Search for Neutrinoless Double-Beta Decay with the Upgraded EXO-200 Detector
journal, February 2018


Long distance contribution to the K L K S mass difference
journal, July 2013


Prospects for a lattice computation of rare kaon decay amplitudes: K π + decays
journal, November 2015


Isotensor Axial Polarizability and Lattice QCD Input for Nuclear Double- β Decay Phenomenology
journal, August 2017


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


Effects of finite volume on the K L K S mass difference
journal, June 2015


First exploratory calculation of the long-distance contributions to the rare kaon decays K π +
journal, December 2016


The <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mi>π</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>π</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:math> scattering length from maximally twisted mass lattice QCD
journal, February 2010


New class of variance-reduction techniques using lattice symmetries
journal, November 2013


Prospects for a lattice computation of rare kaon decay amplitudes. II. K π ν ν ¯ decays
journal, June 2016


Limit on Neutrinoless β β Decay of Xe 136 from the First Phase of KamLAND-Zen and Comparison with the Positive Claim in Ge 76
journal, February 2013


K to π π decay amplitudes from lattice QCD
journal, December 2011


Current Status and Future Prospects of the SNO+ Experiment
journal, January 2016

  • Andringa, S.; Arushanova, E.; Asahi, S.
  • Advances in High Energy Physics, Vol. 2016
  • DOI: 10.1155/2016/6194250

Double- β decay matrix elements from lattice quantum chromodynamics
journal, September 2017


Double Beta Decay and Majorana Neutrino
journal, January 1985

  • Doi, Masaru; Kotani, Tsuneyuki; Takasugi, Eiichi
  • Progress of Theoretical Physics Supplement, Vol. 83
  • DOI: 10.1143/PTPS.83.1

Weak Transition Matrix Elements¶from Finite-Volume Correlation Functions
journal, May 2001

  • Lellouch, Laurent; Lüscher, Martin
  • Communications in Mathematical Physics, Vol. 219, Issue 1
  • DOI: 10.1007/s002200100410

Status and future of nuclear matrix elements for neutrinoless double-beta decay: a review
journal, March 2017


Initial Results from the Majorana Demonstrator
journal, September 2017


Neutrinoless double- β decay in effective field theory: The light-Majorana neutrino-exchange mechanism
journal, June 2018


Neutrinoless Double Beta Decay: 2015 Review
journal, January 2016

  • Dell’Oro, Stefano; Marcocci, Simone; Viel, Matteo
  • Advances in High Energy Physics, Vol. 2016
  • DOI: 10.1155/2016/2162659

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


Neutrinoless double beta decay from lattice QCD
conference, March 2017

  • Nicholson, Amy; Berkowitz, Evan; Chang, Chia
  • Proceedings of 34th annual International Symposium on Lattice Field Theory — PoS(LATTICE2016)
  • DOI: 10.22323/1.256.0017

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


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


Search for Majorana Neutrinos Near the Inverted Mass Hierarchy Region with KamLAND-Zen
journal, August 2016


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


K→ππ decays in a finite volume
journal, December 2001


K L K S Mass Difference from Lattice QCD
journal, September 2014


The search for neutrinoless double beta decay
journal, January 2012


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


New Leading Contribution to Neutrinoless Double- β Decay
journal, May 2018


Volume dependence of the energy spectrum in massive quantum field theories: II. Scattering states
journal, June 1986

  • Lüscher, M.
  • Communications in Mathematical Physics, Vol. 105, Issue 2
  • DOI: 10.1007/BF01211097

Current status of neutrinoless double-beta decay searches
journal, November 2016


K + π + ν ν ¯ decay amplitude from lattice QCD
journal, October 2018


Exploratory Lattice QCD Study of the Rare Kaon Decay K + π + ν ν ¯
journal, June 2017