Effective Lifetimes of $B_s$ Decays and their Constraints on the $B_s^0$-$\bar B_s^0$ Mixing Parameters

Details Effective Lifetimes of $B_s$ Decays and their Constraints on the $B_s^0$-$\bar B_s^0$ Mixing Parameters Effective Lifetimes of $B_s$ Decays and their Constraints on the $B_s^0$-$\bar B_s^0$ Mixing Parameters

2011-09-23

arxiv.org/abs/1109.5115v1

Eur.Phys.J. C71 (2011) 1789

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 pages, 4 figures

Scientific paper

10.1140/epjc/s10052-011-1832-x

Measurements of the effective lifetimes of $B_s$-meson decays, which only require untagged rate analyses, allow us to probe the width difference $\Delta\Gamma_s$ and the CP-violating phase $\phi_s$ of $B^0_s$-$\bar B^0_s$ mixing. We point out that the dependence of the effective lifetime on non-linear terms in $\Delta\Gamma_s$ allows for a determination of $\phi_s$ and $\Delta\Gamma_s$ given a pair of $B_s$ decays into CP-even and CP-odd final states. Using recent lifetime measurements of $B^0_s\to K^+K^-$ and $B^0_s\to J/\psi f_0(980)$ decays, we illustrate this method and show how it complements the constraints in the $\phi_s$-$\Delta\Gamma_s$ plane from other observables.

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