/ Experiment-HEP arXiv:1106.3682

Measurement of branching ratio and $B_s^0$ lifetime in the decay $B_s^0 \rightarrow J/\psi f_0(980)$ at CDF

Published in: Phys.Rev.D
Pages: 14

Abstract: We present a study of $B_s^0$ decays to the \textit{CP}-odd final state $J/\psi f_0(980)$ with $J/\psi \rightarrow \mu^+ \mu^-$ and $f_0(980)\rightarrow \pi^+\pi^-$. Using $p\bar{p}$ collision data with an integrated luminosity of $3.8$~\invfb collected by the CDF II detector at the Tevatron we measure a $B_s^0$ lifetime of $\tau(B_s^0\rightarrow J/\psi f_0(980)) = 1.70_{-0.11}^{+0.12}(\mathrm{stat})\pm 0.03(\mathrm{syst})\,\mathrm{ps}$. This is the first measurement of the $B_s^0$ lifetime in a decay to a \textit{CP} eigenstate and corresponds in the standard model to the lifetime of the heavy $B_s^0$ eigenstate. We also measure the product of branching fractions of $B_s^0\rightarrow J/\psi f_0(980)$ and $f_0(980)\rightarrow \pi^+\pi^-$ relative to the product of branching fractions of $B_s^0\rightarrow J/\psi\phi$ and $\phi\rightarrow K^+K^-$ to be $R_{f_0/\phi}=0.257\pm0.020(\mathrm{stat})\pm0.014(\mathrm{syst})$, which is the most precise determination of this quantity to date.
We present a study of $B_s^0$ decays to the \textit{CP}-odd final state $J/\psi f_0(980)$ with $J/\psi \rightarrow \mu^+ \mu^-$ and $f_0(980)\rightarrow \pi^+\pi^-$. Using $p\bar{p}$ collision data with an integrated luminosity of $3.8$~\invfb collected by the CDF II detector at the Tevatron we measure a $B_s^0$ lifetime of $\tau(B_s^0\rightarrow J/\psi f_0(980)) = 1.70_{-0.11}^{+0.12}(\mathrm{stat})\pm 0.03(\mathrm{syst})\,\mathrm{ps}$. This is the first measurement of the $B_s^0$ lifetime in a decay to a \textit{CP} eigenstate and corresponds in the standard model to the lifetime of the heavy $B_s^0$ eigenstate. We also measure the product of branching fractions of $B_s^0\rightarrow J/\psi f_0(980)$ and $f_0(980)\rightarrow \pi^+\pi^-$ relative to the product of branching fractions of $B_s^0\rightarrow J/\psi\phi$ and $\phi\rightarrow K^+K^-$ to be $R_{f_0/\phi}=0.257\pm0.020(\mathrm{stat})\pm0.014(\mathrm{syst})$, which is the most precise determination of this quantity to date.

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