Search for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">T</mml:mi></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">CP</mml:mi></mml:math>Violation in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="italic">B</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi>−</mml:mi><mml:mrow><mml:msup><mml:mover><mml:mrow><mml:mi mathvariant="italic">B</mml:mi></mml:mrow><mml:mrow><mml:mi>¯</mml:mi></mml:mrow></mml:mover><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>Mixing with Inclusive Dilepton Events

We report the results of a search for $T$ and $\mathrm{CP}$ violation in ${B}^{0}\ensuremath{-}{\overline{B}}^{0}$ mixing using an inclusive dilepton sample collected by the BABAR experiment at the PEP-II $B$ Factory. The asymmetry between ${\ensuremath{\ell}}^{+}{\ensuremath{\ell}}^{+}$ and ${\ensuremath{\ell}}^{\ensuremath{-}}{\ensuremath{\ell}}^{\ensuremath{-}}$ events allows us to compare the probabilities for ${\overline{B}}^{0}\ensuremath{\rightarrow}{B}^{0}$ and ${B}^{0}\ensuremath{\rightarrow}{\overline{B}}^{0}$ oscillations and thus probe $T$ and $\mathrm{CP}$ invariance. Using a sample of $23\ifmmode\times\else\texttimes\fi{}{10}^{6}$ $B\overline{B}$ pairs, we measure a same-sign dilepton asymmetry of ${A}_{T/CP}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}[0.5\ifmmode\pm\else\textpm\fi{}1.2(\mathrm{stat})\ifmmode\pm\else\textpm\fi{}1.4(\mathrm{syst})]%$. For the modulus of the ratio of complex mixing parameters $p$ and $q$, we obtain $|q/p|\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}0.998\ifmmode\pm\else\textpm\fi{}0.006(\mathrm{stat})\ifmmode\pm\else\textpm\fi{}0.007(\mathrm{syst})$.

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