Measuring sin 2βin Bs(t) -> phi K_s

Details Measuring sin 2βin Bs(t) -> phi K_s Measuring sin 2βin Bs(t) -> phi K_s

2001-03-29

arxiv.org/abs/hep-ph/0103321v1

Phys.Lett. B507 (2001) 153-161

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, LaTeX, 4 figures

Scientific paper

10.1016/S0370-2693(01)00427-0

We show that, unlike other pure b -> d penguin processes, the decay Bs(t) -> phi K_s is dominated by a single amplitude, that of the internal t-quark. The contributions of the u- and c-quark operators each vanish due to a cancellation between the (V-A) \otimes (V-A) and (V-A) \otimes (V+A) matrix elements. Thus, the indirect CP asymmetry in this decay probes sin 2\beta. Although this cancellation is complete only for certain values of the s- and b-quark masses, the theoretical uncertainty on sin 2\beta is still less than 10% over most (~80%) of the parameter space. By measuring the direct CP asymmetry, one can get a better idea of the probable error on sin 2\beta.

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