We present a precise measurement of the standard model $CP$-violation parameter $\sin 2{\varphi }_1$, the direct $CP$ violation parameter $|\lambda |$, the lifetimes of charged and neutral $B$ mesons and their ratio, and the $B^0$-${\overline{B}}^0$ mixing parameter $\Delta m_d$ based on a sample of $152\times {10}^6$ $B\overline{B}$ pairs collected at the ${\rm Y}(4S)$ resonance with the Belle detector at the KEKB asymmetric-energy $e^{+}{e}^{-}$ collider. One of two $B$ mesons is fully reconstructed in a $CP$-eigenstate or a flavor-eigenstate decay channel. The flavor of the accompanying $B$ meson is identified from its decay products. From the distributions of the time interval between the two $B$ meson decay points, we obtain $\sin 2{\varphi }_1=0.728\pm 0.056(\mathrm{stat})\pm 0.023(\mathrm{syst})$, $|\lambda |=1.007\pm 0.041(\mathrm{stat})\pm 0.033(\mathrm{syst})$, ${\tau }_{B^0}=[1.534\pm 0.008(\mathrm{stat})\pm 0.010(\mathrm{syst})]\mathrm{ps}$, ${\tau }_{B^{+}}=[1.635\pm 0.011(\mathrm{stat})\pm 0.011(\mathrm{syst})]\mathrm{ps}$, ${\tau }_{B^{+}}/{\tau }_{B^0}=1.066\pm 0.008(\mathrm{stat})\pm 0.008(\mathrm{syst})$ and $\Delta m_d=[0.511\pm 0.005(\mathrm{stat})\pm 0.006{(\mathrm{syst})]\mathrm{ps}}^{-1}$. The results for $\sin 2{\varphi }_1$ and $|\lambda |$ are consistent with the standard model expectations. The significance of the observed deviation from unity in the lifetime ratio exceeds 5 standard deviations.

• Received 10 November 2004
• Corrected 19 April 2005

DOI:https://doi.org/10.1103/PhysRevD.71.072003