GLAS-PPE/2008-14

Strategies for measuring $\gamma$ from the decay channels $B^0_d → D^{\mp} \pi^{\pm}$
and $B^0_s → D^{\mp}_s K^{\pm}$ at LHCb

V. Gligorov(1), G. Wilkinson(2)

(1) University of Glasgow, Kelvin Building, Glasgow G12 8QQ, Scotland.
(2) University of Oxford

Two possible measurements of the CKM angle $\gamma$ at LHCb are evaluated: from the decay mode $B^0_d → D^- \pi^+$, and from the combined analysis of the decay modes $B^0_d → D^- \pi^+$ and $B^0_s → D^-_s K^+$ under the conditions of U-spin symmetry. It is shown that the analysis of time dependent decay rate asymmetries in $B^0_d → D^- \pi^+$ can result in a precision of $\sim 10^\circ$ on $\gamma$ after five years of data taking under certain theoretical assumptions. The combined extraction of $\gamma$ from the decay modes $B^0_d → D^- \pi^+$ and $B^0_s → D^-_s K^+$ is seen to allow an unambiguous extraction of $\gamma$, with a precision of $\sim 5^\circ$ after five years of data taking.


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