Lattice QCD calculation of the invisible decay $J/\psi \rightarrow \gamma \nu\bar{\nu}$

TL;DR

This paper presents the first lattice QCD calculation of the rare invisible decay of the $J/9$ particle into a photon and neutrinos, providing a precise theoretical prediction for dark matter searches.

Contribution

It introduces the first lattice QCD study of the $J/9$ to photon and neutrinos decay, including systematic error analysis and continuum extrapolation.

Findings

Branching fraction estimated as 1.00(9)(7)×10^{-10}

Finite-volume effects are well-controlled

Excited-state effects are effectively eliminated

Abstract

In this work, we present the first lattice QCD study on the invisible decay $J/\psi \rightarrow \gamma\nu\bar{\nu}$. The calculation is accomplished using $N_f=2$ twisted mass fermion ensembles. The excited-state effects are observed and eliminated using a multi-state fit. The impact of finite-volume effects is also examined and confirmed to be well-controlled. After a continuous extrapolation under three lattice spacings, we obtain the branching fraction as $\operatorname{Br}[J/\psi \rightarrow \gamma\nu\bar{\nu}]=1.00(9)(7)\times 10^{-10}$, where the first error is the statistical error and the second is an estimate of the systematics. The exact theoretical prediction can be used to remove the only invisible contamination from the standard model background in searching for the possible dark matter by the channel $J/\psi \rightarrow \gamma+\textrm{invisible}$