An exploration of $B_s\to J/\psi s\bar{s}$

Abstract

Measurements of the $B_s^0$--${\bar{B}}_s^0$ mixing phase ${\varphi }_s$ appear to be converging towards the SM prediction, suggesting that contributions from New Physics (NP), if present, are small. This poses the question of whether smallish NP in ${\varphi }_s$ can be distinguished from the hadronic uncertainties present in the interfering $B_s$ decay mode. In this paper we discuss the potential of extracting ${\varphi }_s$ from the decay modes $B_s\to J/\psi {\eta }^{(\prime )}$ and $B_s\to J/\psi f_0(980)$ and how their respective hadronic uncertainties can be controlled. In addition, we demonstrate how the branching ratios of the former decays can be used to estimate the $\eta$--${\eta }^{\prime }$ mixing angles. Finally, we point out that effective lifetime measurements of decay modes such as the $B_s\to J/\psi f_0(980)$ can be used to constrain both ${\varphi }_s$ and the $B_s$ decay width difference $\Delta {\Gamma }_s$, complementary to the usual time-dependent tagged analysis.

6 pages, 3 figures, v2: references added. Invited talk at the 4th Workshop on Theory, Phenomenology and Experiments in Heavy Flavour Physics, Capri, Italy, 11-13 June 2012, to appear in the Proceedings

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Cited by in corpus (2)

• Rare Decays and CP Violation in the $B_s$ System
• Measurement of the ${\bar{B}}_s^0\to D_s^{-}{D}_s^{+}$ and ${\bar{B}}_s^0\to D^{-}{D}_s^{+}$ effective lifetimes