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Effect of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>D</mml:mi><mml:mo>−</mml:mo><mml:mover accent="true"><mml:mi>D</mml:mi><mml:mo>¯</mml:mo></mml:mover></mml:math>mixing on the measurement of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>γ</mml:mi></mml:math>in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>B</mml:mi><mml:mo>→</mml:mo><mml:mi>D</mml:mi><mml:mi>K</mml:mi></mml:math>decays
$D\ensuremath{-}\overline{D}$ mixing is the source of the largest theoretical uncertainty in the extraction of $\ensuremath{\gamma}$ from $B\ensuremath{\rightarrow}DK$ decays. In the standard model, the mixing can have a rate close to its current experimental upper bound and is $CP$ conserving to an excellent approximation. We show that neglecting $CP$-conserving $D\ensuremath{-}\overline{D}$ mixing …