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

Abstract

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.

Comments: 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 updated