Long-Distance Nuclear Matrix Elements for Neutrinoless Double-Beta Decay from Lattice QCD
arxiv(2024)
摘要
Neutrinoless double-beta (0νββ) decay is a heretofore unobserved
process which, if observed, would imply that neutrinos are Majorana particles.
Interpretations of the stringent experimental constraints on
0νββ-decay half-lives require calculations of nuclear matrix
elements. This work presents the first lattice quantum-chromodynamics (LQCD)
calculation of the matrix element for 0νββ decay in a multi-nucleon
system, specifically the nn → pp ee transition, mediated by a light
left-handed Majorana neutrino propagating over nuclear-scale distances. This
calculation is performed with quark masses corresponding to a pion mass of
m_π = 806 MeV at a single lattice spacing and volume. The statistically
cleaner Σ^- →Σ^+ ee transition is also computed in order
to investigate various systematic uncertainties. The prospects for matching the
results of LQCD calculations onto a nuclear effective field theory to determine
a leading-order low-energy constant relevant for 0νββ decay with a
light Majorana neutrino are investigated. This work, therefore, sets the stage
for future calculations at physical values of the quark masses that, combined
with effective field theory and nuclear many-body studies, will provide
controlled theoretical inputs to experimental searches of 0νββ
decay.
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