A supersymmetric resolution of the anomaly in charmless nonleptonic $B$-decays

Abstract

We examine the large branching ratio for the process $B\to {\eta }^{\prime }K$ from the standpoint of R parity violating supersymmetry. We have given all possible $R_p$ violating contributions to $B\to {\eta }^{\prime }K$ amplitudes. We find that only two pairs of ${\lambda }^{\prime }$-type $R_p$ violating couplings can solve this problem after satisfying all other experimental bounds. We also analyze those modes where these couplings can appear, {\em e.g.}, $B^{\pm }\to {\pi }^{\pm }{K}^0$, $B^{\pm ,0}\to K^{\ast \pm ,0}{\eta }^{(\prime )}$, $B^{\pm }\to \varphi K^{\pm }$ etc., and predict their branching ratios. Further, one of these two pairs of couplings is found to lower the branching ratio of $B^{\pm }\to \varphi K^{\pm }$, thereby allowing larger $\xi \equiv \frac{1}{N_c}$. This allows us to fit $B^{\pm }\to \omega K^{\pm }$ and $B^{\pm }\to \omega {\pi }^{\pm }$, which could not be done in the SM framework.

12 pages, 5 figures

References in corpus (7)

• An analysis of two-body non-leptonic B decays involving light mesons in the standard model
• B Decays Involving $\eta$ and ${\eta }^{\prime }$ in the Light of the $B\to K{\eta }^{\prime }$ Process
• Quasi-Inclusive and Exclusive decays of $B$ to ${\eta }^{\prime }$
• Observation of High Momentum ${\eta }^{\prime }$ Production in B Decay
• Charmless B decays to eta' and eta
• R-parity Violation and Semileptonic Decays of B-meson
• A Critical Study of B Decays to Light Pseudoscalar

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