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

With just two R-parity violating couplings, λ223′ and λ323′, we correlate several channels, namely, Ds→ℓν (ℓ=μ,τ), (g−2)μ, and some lepton flavor violating τ decays. For λ223′=λ323′∼0.3 and for a common superpartner mass of 300 GeV, which explain the recently observed excesses in the above Ds 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.