Journal
PHYSICAL REVIEW D
Volume 100, Issue 9, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.100.094511
Keywords
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Funding
- NSFC of China [11775002]
- Department of Energy (DOE) [DE-SC0010339]
- ALCC Program of the U.S. DOE on the Blue Gene/Q (BG/Q) Mira computer at the Argonne Leadership Class Facility, a DOE Office of Science Facility [DE-AC02-06CH11357]
- Office of Science of the U.S. Department of Energy
- U.S. Department of Energy (DOE) [DE-SC0010339] Funding Source: U.S. Department of Energy (DOE)
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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 exists in nature, then pi(-)pi(-) -> ee and pi(-) -> pi(+)ee (or equivalently pi(-)e(+) -> 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(-) -> 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 [1] 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)(stat)(74)(sys), which is close to g(nu)(pi pi) (m(rho)) = -11.96(31)(stat) determined from the crossed-channel pi(-)pi(-) -> ee decay [2].
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