Correlated enhancements in $D_s \to \ellν$, $(g-2)$ of muon, and lepton flavor violating $τ$ decays with two R-parity violating couplings

Physics – High Energy Physics – High Energy Physics - Phenomenology

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12 pages, 8 figures: v2: An equation and a few comments and references added, version to appear in Nucl Phys B

Scientific paper

With just two R-parity violating couplings, $\lambda'_{223}$ and $\lambda'_{323}$, we correlate several channels, namely, $D_s \to \ell \nu$ ($\ell = \mu, \tau$), $(g-2)_\mu$, and some lepton flavor violating $\tau$ decays. For $\lambda'_{223} = \lambda'_{323} \sim 0.3$ 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: ${\rm Br} (\tau \to \mu \gamma) \sim 4.5 \cdot 10^{-8}$, ${\rm Br} (\tau \to \mu\mu\mu) \sim 1.2 \cdot 10^{-8}$, ${\rm Br} (\tau \to \mu\eta/\eta') \sim 4 \cdot 10^{-10}$, and $(g_\mu-2)/2 \sim 4 \cdot 10^{-11}$. We exhibit our results through observable versus observable correlation plots.

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