Correlated enhancements in Ds → ℓν, (g−2) of muon, and lepton flavor violating τ decays with two R-parity violating couplings

Abstract

With just two R -parity violating couplings, λ’₂₂₃ and λ’ ₃₂₃, we correlate several channels, namely, D_s → ℓν (ℓ = μ,τ), (g−2)μ, and some lepton flavor violating τ decays. For λ’₂₂₃ = λ’₃₂₃ ∼ 0.3 and for a common superpartner mass of 300 GeV, which explain the recently observed excesses in the above D_s decay channels, we predict the following R -parity violating contributions: Br(τ→μγ) ∼ 4.5·10⁻⁸, Br(τ→μμμ) ∼ 1.2·10^-8, Br(τ→μη/η′) ∼ 4·10^-10, and (gμ-2)/2 ∼ 4·10^-11. We exhibit our results through observable versus observable correlation plots.