Semi-inclusive nonleptonic decays B\to D_s^{(*)} X

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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16 pages, LaTex with 4 figures

Scientific paper

10.1103/PhysRevD.65.114009

We calculate the total and differential decay rates for the semi-inclusive nonleptonic decays $B\to D_s^{(*)} X_q$ ($q=c$ or $u$) under the factorization hypothesis. The initial bound state effect is treated using the light-cone expansion and the heavy quark effective theory. We investigate the contribution of the penguin amplitude for the decay mode $B\to D_s^{(*)} X_c$ and find that it is small but non-negligible. The resulting decay rates for $B\to D_s^{(*)} X_c$ agree with the measurements. The use of the decay mode $B\to D_s^{(*)} X_u$ to determine $|V_{ub}|$ is discussed.

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