Measurements of $\Delta m_d$, $\Delta m_s$, and $\sin 2 \beta$ with LHCb

Abstract

We present measurements of the oscillation frequencies $\Delta m_d$ and $\Delta m_s$ of $B$ meson mixing as well as a measurement of the time-dependent CP-asymmetry in decays of $B^0\to J/\psi K_{\text{S}}^0$ based on $1.0\,\text{fb}^{-1}$ of data collected by the LHCb experiment in 2011. These measurements give valuable input to tests of the unitarity of the Cabibbo-Kobayashi-Maskawa matrix.