A simultaneous explanation of the large phase in B_s-\bar B_s mixing and B --> \pi\pi / \pi K puzzles in R-parity violating supersymmetry

Recent data on $B$ meson mixings and decays are, in general, in accord with the standard model expectations, except showing a few hiccups: (i) a large phase in $B_s$ mixing, (ii) a significant difference ($> 3.5 \sigma$) between CP-asymmetries in $B^\pm \to \pi^0 K^\pm$ and $B_d \to \pi^\mp K^\pm$ channels, and (iii) a larger than expected branching ratio in $B_d \to \pi^0\pi^0$ channel. We show that selective baryon number violating Yukawa couplings in R-parity violating supersymmetry can reconcile all the measurements.Comment: 8 pages, 4 eps figs; v2: minor errors corrected, fig.2a redrawn with correct y-axis labels, footnote on updated UTfit result on Bs mixing phase added, References and Acknowledgements sections update

Correlated enhancements in Ds→ℓνD_s \to \ell\nu, (g−2)(g-2) of muon, and lepton flavor violating τ\tau decays with two R-parity violating couplings

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