Methodology to determine the spin-parity of muon-philic $X$ boson in $J/\psi \to {\mu }^{-}{\mu }^{+}X$ decay

Abstract

The present anomaly in muon anaomalous magnetic moment can be explained by the presence of a muon-philic $X$ boson which could be a scalar particle or a vector particle with mass less than twice the mass of muon. The muon-philic $X$ boson could interestingly not be a parity eigenstate as well. If there exists such a boson, irrespective of its parity, it can be directly observed in the decay $J/\psi \to {\mu }^{-}{\mu }^{+}X$ where $X$ remains invisible. We show that by using the angular distribution or the distribution of events in the square Dalitz plot, along with two well defined dimensionless ratios, one can clearly distinguish among the various spin-parity possibilities. This would constitute an important probe of both the existence and the nature of this new physics possibility.

14 pages, 11 figures

References in corpus (8)

• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
• The anomalous magnetic moment of the muon in the Standard Model
• Measurement of the anomalous precession frequency of the muon in the Fermilab Muon g-2 experiment
• The BESIII Physics Programme
• Dark sector origin of the KOTO and MiniBooNE anomalies
• Extracting Angular Observables without a Likelihood and Applications to Rare Decays
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Cited by in corpus (1)

• The LHC as a TeV Muon Beam Dump: Muonphilic Scalars at FASER