Combined D0 measurements constraining theCP-violating phase and width difference in theBs0system

We combine the D0 measurement of the width difference between the light and heavy $B_s^0$ mass eigenstates and of the $CP$-violating mixing phase determined from the time-dependent angular distributions in the $B_s^0\to J/\psi \varphi$ decays along with the charge asymmetry in semileptonic decays also measured with the D0 detector. With the additional constraint from the world average of the flavor-specific $B_s^0$ lifetime, we obtain $\Delta {\Gamma }_s\equiv ({\Gamma }_L-{\Gamma }_H)=0.13\pm 0.09{\mathrm{ps}}^{-1}$ and $|{\varphi }_s|={0.70}_{-0.47}^{+0.39}$ or $\Delta {\Gamma }_s=-0.13\pm 0.09{\mathrm{ps}}^{-1}$ and $|{\varphi }_s|={2.44}_{-0.39}^{+0.47}$. The data sample corresponds to an integrated luminosity of $1.1{\mathrm{fb}}^{-1}$ accumulated with the D0 detector at the Fermilab Tevatron Collider.