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Time-dependent Dalitz-plot formalism for B_q -> J/\psi\ h+ h- · Around

2012

Time-dependent Dalitz-plot formalism for B_q -> J/\psi\ h+ h-

Zhang, Liming, Stone, Sheldon

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A formalism for measuring time-dependent CP violation in B_q -> J/\psi h+ h- decays with J/\psi-> mu+ mu- is developed for the general case where there can be many h+ h- final states of different angular momentum present.

Here h refers to any spinless meson.
The decay amplitude is derived using similar considerations as those in a Daltiz like analysis of three-body spinless mesons taking into account the fact that the J/\psi is spin-1, and the various interferences allowed between different final states.
Implementation of this procedure can, in principle, lead to the use of a larger number of final states for CP violation studies.

Built on

R. Dalitz, On the analysis of τ \tau -meson data and the nature of the τ \tau -meson
1953
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I. Dunietz et al
1991
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A. S. Dighe, I. Dunietz, H. J. Lipkin, and J. L. Rosner, Angular distributions and lifetime differences in B s → J / ψ ϕ B_{s}\rightarrow J/\psi\phi decays
1996
Earlier work this paper cites.
A. S. Dighe, I. Dunietz, and R. Fleischer, Extracting CKM phases and B s − B ¯ s B_{s}-\bar{B}_{s} mixing parameters from angular distributions of nonleptonic B B decays
1999
Earlier work this paper cites.
I. I. Bigi and A. Sanda, CP violation
2000
Earlier work this paper cites.

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