Limits on the decay-rate difference of neutralBmesons and onCP,T, andCPTviolation inB0B0oscillations

Using events in which one of two neutral B mesons from the decay of an ${\rm Y}\mathrm{}\left(4S\right)\mathrm{}$ resonance is fully reconstructed, we set limits on the difference between the decay rates of the two neutral B mass eigenstates and on CP, T, and CPT violation in $B^0{B}^0$ mixing. The reconstructed decays, comprising both CP and flavor eigenstates, are obtained from 88 million ${\rm Y}\mathrm{}\left(4S\right)\mathrm{}\to B\overline{B}$ decays collected with the BABAR detector at the PEP-II asymmetric-energy B Factory at SLAC. We determine six independent parameters governing oscillations $(\Delta m,\Delta \Gamma /\Gamma ),$ CPT and CP violation $(\mathrm{Re}\mathsf{z},\mathrm{Im}\mathsf{z}),$ and CP and T violation $(\mathrm{Im}{\lambda }_{\mathrm{CP}},|q/p|),$ where ${\lambda }_{\mathrm{CP}}$ characterizes $B^0$ and $B^0$ decays to states of charmonium plus $K_S^0$ or $K_L^0.$ The results are $\mathrm{sgn}\left(\mathrm{Re}{\lambda }_{\mathrm{CP}}\right)\Delta \Gamma /\Gamma =-0.008\pm 0.037(\mathrm{stat}.\mathrm{})\pm 0.018(\mathrm{syst}.\mathrm{})[-0.084,0.068],$ $|q/p|=1.029\mathrm{}\pm 0.013(\mathrm{stat}.\mathrm{})\pm 0.011(\mathrm{syst}.\mathrm{})[1.001,1.057],$ $(\mathrm{Re}{\lambda }_{\mathrm{CP}}/|{\lambda }_{\mathrm{CP}}|)\mathrm{Re}\mathrm{z}=0.014\mathrm{}\pm 0.035(\mathrm{stat}.\mathrm{})\pm 0.034(\mathrm{syst}.\mathrm{})[-0.072,0.101],$ $\mathrm{Im}\mathrm{z}=0.038\mathrm{}\pm 0.029(\mathrm{stat}.\mathrm{})\pm 0.025(\mathrm{syst}.\mathrm{})[-0.028,0.104].$The values inside square brackets indicate the 90% confidence-level intervals. The values of $\mathrm{Im}{\lambda }_{\mathrm{CP}}$ and $\Delta m$ are consistent with previous...