Probing new physics in B -> f_0(980) K decays

Abstract

We study the hadronic decay modes $B^{\pm (0)}\to f_0(980)K^{\pm (0)}$, involving a scalar and a pseudoscalar meson in the final state. These decay modes are dominated by the loop induced $b\to s\bar{q}q(q=s,u,d)$ penguins along with a small $b\to u$ tree level transition (for $B^{+}\to f_0{K}^{+}$) and annihilation diagrams. Therefore, the standard model expectation of direct CP violation is negligibly small and the mixing induced CP violation parameter in the mode $B^0\to f_0{K}_S$ is expected to give the same value of $\sin (2\beta )$, as extracted from $B^0\to J/\psi K_S$ but with opposite sign. Using the generalized factorization approach we find the direct CP violation in the decay mode $B^{+}\to f_0{K}^{+}$ to be of the order of few percent. We then study the effect of the R-parity violating supersymmetric model and show that the direct CP violating asymmetry in $B^{+}\to f_0(980)K^{+}$ could be as large as $\sim 80$ and the mixing induced CP asymmetry in $B^0\to f_0{K}_S$ (i.e., $-S_{f_0{K}_S}$) could deviate significantly from that of $\sin (2\beta {)}_{J/\psi K_S}$.

18 pages, 5 figures, version to appear in Phys. Rev. D

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