Long-distance contributions to neutrinoless double beta decay
Abstract
Neutrinoless double beta decay, if detected, would prove that neutrinos are Majorana fermions and provide the direct evidence for lepton number violation. If such decay would exist in nature, then $$\pi^-\pi^-\to ee$$ and $$\pi^-\to\pi^+ ee$$ (or equivalently $$\pi^-e^+\to\pi^+ e^-$$) are the two simplest processes accessible via first-principle lattice QCD calculations. In this work, we calculate the long-distance contributions to the $$\pi^-\to\pi^+ee$$ transition amplitude using four ensembles at the physical pion mass with various volumes and lattice spacings. We adopt the infinite-volume reconstruction method to control the finite-volume effects arising from the (almost) massless neutrino. Providing the lattice QCD inputs for chiral perturbation theory, we obtain the low energy constant $$g_\nu^{\pi\pi}(m_\rho)=-10.89(28)_\text{stat}(74)_\text{sys}$$, which is close to $$g_\nu^{\pi\pi}(m_\rho)=-11.96(31)_\text{stat}$$ determined from the crossed-channel $$\pi^-\pi^-\to ee$$ decay.
- 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:
- 1575954
- Alternate Identifier(s):
- OSTI ID: 1596009
- Grant/Contract Number:
- SC0010339; AC02-06CH11357
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 9; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Tuo, Xin-Yu, Feng, Xu, and Jin, Lu-Chang. Long-distance contributions to neutrinoless double beta decay π − → π + e e. United States: N. p., 2019.
Web. doi:10.1103/PhysRevD.100.094511.
Tuo, Xin-Yu, Feng, Xu, & Jin, Lu-Chang. Long-distance contributions to neutrinoless double beta decay π − → π + e e. United States. https://doi.org/10.1103/PhysRevD.100.094511
Tuo, Xin-Yu, Feng, Xu, and Jin, Lu-Chang. Wed .
"Long-distance contributions to neutrinoless double beta decay π − → π + e e". United States. https://doi.org/10.1103/PhysRevD.100.094511.
@article{osti_1575954,
title = {Long-distance contributions to neutrinoless double beta decay π − → π + e e},
author = {Tuo, Xin-Yu and Feng, Xu and Jin, Lu-Chang},
abstractNote = {Neutrinoless double beta decay, if detected, would prove that neutrinos are Majorana fermions and provide the direct evidence for lepton number violation. If such decay would exist in nature, then $\pi^-\pi^-\to ee$ and $\pi^-\to\pi^+ ee$ (or equivalently $\pi^-e^+\to\pi^+ e^-$) are the two simplest processes accessible via first-principle lattice QCD calculations. In this work, we calculate the long-distance contributions to the $\pi^-\to\pi^+ee$ transition amplitude using four ensembles at the physical pion mass with various volumes and lattice spacings. We adopt the infinite-volume reconstruction method to control the finite-volume effects arising from the (almost) massless neutrino. Providing the lattice QCD inputs for chiral perturbation theory, we obtain the low energy constant $g_\nu^{\pi\pi}(m_\rho)=-10.89(28)_\text{stat}(74)_\text{sys}$, which is close to $g_\nu^{\pi\pi}(m_\rho)=-11.96(31)_\text{stat}$ determined from the crossed-channel $\pi^-\pi^-\to ee$ decay.},
doi = {10.1103/PhysRevD.100.094511},
journal = {Physical Review D},
number = 9,
volume = 100,
place = {United States},
year = {Wed Nov 27 00:00:00 EST 2019},
month = {Wed Nov 27 00:00:00 EST 2019}
}
https://doi.org/10.1103/PhysRevD.100.094511
Web of Science
Works referenced in this record:
Search for Neutrinoless Double-Beta Decay with the Upgraded EXO-200 Detector
journal, February 2018
- Albert, J. B.; Anton, G.; Badhrees, I.
- Physical Review Letters, Vol. 120, Issue 7
Isotensor Axial Polarizability and Lattice QCD Input for Nuclear Double- Decay Phenomenology
journal, August 2017
- Shanahan, Phiala E.; Tiburzi, Brian C.; Wagman, Michael L.
- Physical Review Letters, Vol. 119, Issue 6
First Result on the Neutrinoless Double- Decay of with CUPID-0
journal, June 2018
- Azzolini, O.; Barrera, M. T.; Beeman, J. W.
- Physical Review Letters, Vol. 120, Issue 23
Covariant approximation averaging
journal, June 2015
- Shintani, Eigo; Arthur, Rudy; Blum, Thomas
- Physical Review D, Vol. 91, Issue 11
Renormalization group evolution of dimension-seven operators in standard model effective field theory and relevant phenomenology
journal, March 2019
- Liao, Yi; Ma, Xiao-Dong
- Journal of High Energy Physics, Vol. 2019, Issue 3
Light-Neutrino Exchange and Long-Distance Contributions to Decays: An Exploratory Study on
journal, January 2019
- Feng, Xu; Jin, Lu-Chang; Tuo, Xin-Yu
- Physical Review Letters, Vol. 122, Issue 2
Erratum: Neutrinoless double- decay in effective field theory: The light-Majorana neutrino-exchange mechanism [Phys. Rev. C 97 , 065501 (2018)]
journal, July 2019
- Cirigliano, Vincenzo; Dekens, Wouter; Mereghetti, Emanuele
- Physical Review C, Vol. 100, Issue 1
Limit on Neutrinoless Decay of from the First Phase of KamLAND-Zen and Comparison with the Positive Claim in
journal, February 2013
- Gando, A.; Gando, Y.; Hanakago, H.
- Physical Review Letters, Vol. 110, Issue 6
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
QED in Finite Volume and Finite Size Scaling Effect on Electromagnetic Properties of Hadrons
journal, September 2008
- Uno, S.; Hayakawa, M.
- Progress of Theoretical Physics, Vol. 120, Issue 3
Finite-volume electromagnetic corrections to the masses of mesons, baryons, and nuclei
journal, September 2014
- Davoudi, Zohreh; Savage, Martin J.
- Physical Review D, Vol. 90, Issue 5
Double- decay matrix elements from lattice quantum chromodynamics
journal, September 2017
- Tiburzi, Brian C.; Wagman, Michael L.; Winter, Frank
- Physical Review D, Vol. 96, Issue 5
Status and future of nuclear matrix elements for neutrinoless double-beta decay: a review
journal, March 2017
- Engel, Jonathan; Menéndez, Javier
- Reports on Progress in Physics, Vol. 80, Issue 4
Initial Results from the Majorana Demonstrator
journal, September 2017
- Elliott, S. R.; Abgrall, N.; Arnquist, I. J.
- Journal of Physics: Conference Series, Vol. 888
Neutrinoless double- decay in effective field theory: The light-Majorana neutrino-exchange mechanism
journal, June 2018
- Cirigliano, Vincenzo; Dekens, Wouter; Mereghetti, Emanuele
- Physical Review C, Vol. 97, Issue 6
First Results from CUORE: A Search for Lepton Number Violation via Decay of
journal, March 2018
- Alduino, C.; Alessandria, F.; Alfonso, K.
- Physical Review Letters, Vol. 120, Issue 13
Improved Limit on Neutrinoless Double- Decay of from GERDA Phase II
journal, March 2018
- Agostini, M.; Bakalyarov, A. M.; Balata, M.
- Physical Review Letters, Vol. 120, Issue 13
Review of Particle Physics
journal, August 2018
- Tanabashi, M.; Hagiwara, K.; Hikasa, K.
- Physical Review D, Vol. 98, Issue 3
Search for Neutrinoless Double- Decay in with the Majorana Demonstrator
journal, March 2018
- Aalseth, C. E.; Abgrall, N.; Aguayo, E.
- Physical Review Letters, Vol. 120, Issue 13
Search for Majorana Neutrinos Near the Inverted Mass Hierarchy Region with KamLAND-Zen
journal, August 2016
- Gando, A.; Gando, Y.; Hachiya, T.
- Physical Review Letters, Vol. 117, Issue 8
Heavy Physics Contributions to Neutrinoless Double Beta Decay from QCD
journal, October 2018
- Nicholson, A.; Berkowitz, E.; Monge-Camacho, H.
- Physical Review Letters, Vol. 121, Issue 17
Results on Neutrinoless Double- Decay of from Phase I of the GERDA Experiment
journal, September 2013
- Agostini, M.; Allardt, M.; Andreotti, E.
- Physical Review Letters, Vol. 111, Issue 12
A neutrinoless double beta decay master formula from effective field theory
journal, December 2018
- Cirigliano, V.; Dekens, W.; de Vries, J.
- Journal of High Energy Physics, Vol. 2018, Issue 12
Domain wall QCD with physical quark masses
journal, April 2016
- Blum, T.; Boyle, P. A.; Christ, N. H.
- Physical Review D, Vol. 93, Issue 7
Publisher’s Note: Search for Majorana Neutrinos Near the Inverted Mass Hierarchy Region with KamLAND-Zen [Phys. Rev. Lett. 117 , 082503 (2016)]
journal, September 2016
- Gando, A.; Gando, Y.; Hachiya, T.
- Physical Review Letters, Vol. 117, Issue 10
New Leading Contribution to Neutrinoless Double- Decay
journal, May 2018
- Cirigliano, Vincenzo; Dekens, Wouter; de Vries, Jordy
- Physical Review Letters, Vol. 120, Issue 20
Ab initio calculation of the neutron-proton mass difference
journal, March 2015
- Borsanyi, S.; Durr, S.; Fodor, Z.
- Science, Vol. 347, Issue 6229
Nuclear Matrix Elements for Neutrinoless Double Beta Decay from Lattice QCD
conference, May 2019
- Murphy, David; Detmold, William
- Proceedings of The 36th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2018)
Multi-Grid Lanczos
journal, January 2018
- Clark, M. A.; Jung, Chulwoo; Lehner, Christoph
- EPJ Web of Conferences, Vol. 175