Simultaneous measurement of theB0meson lifetime and mixing frequency withB0→D*−l+νldecays

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Abstract

We measure the ${B}^{0}$ lifetime ${\ensuremath{\tau}}_{{B}^{0}}$ and the ${B}^{0}\ensuremath{-}{B}^{0}$ oscillation frequency $\ensuremath{\Delta}{m}_{d}$ with a sample of approximately 14000 exclusively reconstructed ${B}^{0}\ensuremath{\rightarrow}{D}^{*\ensuremath{-}}{\mathcal{l}}^{+}{\ensuremath{\nu}}_{\mathcal{l}}$ signal events, selected from 23 million $B\overline{B}$ pairs recorded at the $\ensuremath{\Upsilon}(4S)$ resonance with the BABAR detector at the Stanford Linear Accelerator Center. The decay position of the other B is determined with the remaining tracks in the event, and its b-quark flavor at the time of decay is determined with a tagging algorithm that exploits the correlation between the flavor of the b quark and the charges of its decay products. The lifetime and oscillation frequencies are measured simultaneously with an unbinned maximum-likelihood fit that uses, for each event, the measured difference in decay times of the two B mesons $(\ensuremath{\Delta}t),$ the calculated uncertainty on $\ensuremath{\Delta}t,$ the signal and background probabilities, and b-quark tagging information for the other B. The results are ${\ensuremath{\tau}}_{{B}^{0}}{=(1.523}_{\ensuremath{-}0.023}^{+0.024}\ifmmode\pm\else\textpm\fi{}0.022)\mathrm{ps}$ and $\ensuremath{\Delta}{m}_{d}=(0.492\ifmmode\pm\else\textpm\fi{}0.018\ifmmode\pm\else\textpm\fi{}0.013){\mathrm{ps}}^{\ensuremath{-}1}.$ The statistical correlation coefficient between ${\ensuremath{\tau}}_{{B}^{0}}$ and $\ensuremath{\Delta}{m}_{d}$ is -0.22.

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