The Effect of $D-\bar D$ Mixing on the Measurement of $γ$ in $B\to D K$ Decays

Details The Effect of $D-\bar D$ Mixing on the Measurement of $γ$ in $B\to D K$ Decays The Effect of $D-\bar D$ Mixing on the Measurement of $γ$ in $B\to D K$ Decays

2005-05-31

arxiv.org/abs/hep-ph/0505270v1

Phys.Rev. D72 (2005) 031501

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, no figures

Scientific paper

10.1103/PhysRevD.72.031501

$D-\bar D$ mixing is the source of the largest theoretical uncertainty in the extraction of $\gamma$ from $B\to D K$ 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 $D-\bar D$ mixing leads to an error in the determination of $\gamma$ only at second order in the small parameters, $\Delta m_D/\Gamma_D$ and $\Delta\Gamma_D/\Gamma_D$, and is therefore very small and can be safely neglected.

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