Measurement of the $B^0$--${\bar{B}}^0$ oscillation frequency $\Delta m_d$ with the decays $B^0\to D^{-}{\pi }^{+}$ and $B^0\to J/\psi K^{\ast 0}$

Abstract

The $B^0$--${\bar{B}}^0$ oscillation frequency $\Delta m_d$ is measured by the LHCb experiment using a dataset corresponding to an integrated luminosity of $1.0$fb${}^{-1}$ of proton-proton collisions at $\sqrt{s}=7$TeV, and is found to be $\Delta m_d=0.5156\pm 0.0051($stat.$)\pm 0.0033($syst.$)$ps${}^{-1}$. The measurement is based on results from analyses of the decays $B^0\to D^{-}{\pi }^{+}$ ($D^{-}\to K^{+}{\pi }^{-}{\pi }^{-}$) and $B^0\to J/\psi K^{\ast 0}$ ($J/\psi \to {\mu }^{+}{\mu }^{-}$, $K^{\ast 0}\to K^{+}{\pi }^{-}$) and their charge conjugated modes.

17 pages, 3 figures, 1 table

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