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Title: Long-distance contributions to neutrinoless double beta decay π π + e e

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:
; ORCiD logo;
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. doi: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. doi: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 = {2019},
month = {11}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.100.094511

Citation Metrics:
Cited by: 3 works
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