Analysis of direct $CP$ violation in $B^- \to D^0 D_s^-, D^0 D^-$ decays

A.K. Giri; R. Mohanta; M.P. Khanna

doi:doi:10.1007/s100520100774

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Particles and Fields

Eur. Phys. J. C 22, 115-121 (2001)
DOI: 10.1007/s1005201O0774

Analysis of direct CP violation in $B^- \to D^0 D_s^-, D^0 D^-$ decays

A.K. Giri¹, R. Mohanta² and M.P. Khanna¹

¹ Physics Department, Panjab University, Chandigarh-160 014, India
² School of Physics, University of Hyderabad, Gachibowli, Hyderabad-500 046, India

(Received: 5 June 2001 / Revised version: 24 July 2001 / Published online: 19 September 2001 - © Springer-Verlag / Società Italiana di Fisica 2001 )

Abstract
We investigate the possibility of observing direct CP violation in the decay modes $B^- \to D^0 D_s^-$ and D⁰ D^- within the standard model. Including the contributions arising from the tree, annihilation, QCD as well as electroweak penguins with both time- and space-like components, we find that the direct CP asymmetry in $B^- \to D^0 D_s^-$ is very small, $\sim 0.2$ %, but in $B^- \to D^0 D^-$ decay it can be as large as 4%. Approximately 10⁷ charged B mesons are required to experimentally observe the CP asymmetry parameter for the latter case. Since this is easily accessible with the currently running B-factories, the decay mode $B^- \to D^0 D^-$ may be pursued to look for CP violation.