A simultaneous explanation of the large phase in B_s-\bar B_s mixing and B --> ππ/ πK 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.

arXiv comment8 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

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• Glauber gluons in spectator amplitudes for $B\to \pi M$ decays
• Resolving the $B\to K\pi$ puzzle by Glauber-gluon effects
• New Physics in b -> s Transitions and the B_{d,s}^0 -> V_1 V_2 Angular Analysis
• $B_s({\bar{B}}_s)$ -> $D_{CP}^{0}K\bar{K}$: Detecting and Discriminating New Physics in $B_s$-${\bar{B}}_s$ Mixing
• The effects of a family non-universal Z-prime boson on B--->pipi decays
• $B_{d,s}^0\to f_1{f}_1$ decays with $f_1(1285)-f_1(1420)$ mixing in the perturbative QCD approach
• Probing new physics through B->K l+ l- decays in R-parity violating minimal supersymmetric standard model