Three Photon Decay of $J/\psi$ from Lattice QCD

Abstract

Three photon decay rate of $J/\psi$ is studied using two $N_f=2$ twisted mass gauge ensembles with lattice spacings $a\simeq 0.085$ fm (I) and $0.067$ fm(II). Using a new method, only the correlation functions directly related to the physical decay width are computed with all polarizations of the initial and final states summed over. Our results for such rare decay on the two ensembles are: ${\mathcal{B}}_{I,II}(J/\psi \to 3\gamma )=(1.614\pm 0.016\pm 0.261)\times 10^{-5},(1.809\pm 0.051\pm 0.295)\times 10^{-5}$ where the first errors are statistical and the second are estimates from systematics. We also propose a method to analyze the Dalitz plot of the corresponding process based on the lattice data which can provide direct information for the experiments.

arXiv comment6 pages 5 figures. Updated version compared with older version that has been withdrawn. Two ensembles are studied so that the size of finite lattice spacing errors can be estimated

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Cited by in corpus (4)

• First-principle calculation of ${\eta }_c\to 2\gamma$ decay width from lattice QCD
• Lattice study of $J/\psi \to \gamma {\eta }_c$ using a method without momentum extrapolation
• Holographic quark masses and radiative decays of heavy vector mesons
• Spectroscopy of heavy-heavy flavour mesons and annihilation widths of quarkonia