Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2003-03-20
Phys.Rev. D68 (2003) 015004
Physics
High Energy Physics
High Energy Physics - Phenomenology
24 pages; corrections in Sec. III.A and V, results hardly affected, to appear in Phys Rev D
Scientific paper
10.1103/PhysRevD.68.015004
We consider CP asymmetries in neutral $B$ meson decays to $\eta' K_S$, $\phi K_S$, and $K^+ K^- K_S$. We use SU(3) relations to estimate or bound the contributions to these amplitudes proportional to $V_{ub}^*V_{us}$. Such contributions induce a deviation of the $S_f$ terms measured in these time dependent CP asymmetries from that measured for $\psi K_S$. For the $K^+ K^- K_S$ mode, we estimate the deviation to be of order 0.1. For the $\eta' K_S$ mode, we obtain an upper bound on this deviation of order 0.3. For the $\phi K_S$ mode, we have to add a mild dynamical assumption to the SU(3) analysis due to insufficient available data, yielding an upper bound of order 0.25. These bounds may improve significantly with future data. While they are large at present compared to the usually assumed Standard Model contribution, they are obtained with minimal assumptions and hence provide more rigorous tests for new physics. If measurements yield $|S_f-S_{\psi K}|$ that are much larger than our bounds, it would make a convincing case for new physics.
Grossman Yuval
Ligeti Zoltan
Nir Yosef
Quinn Helen
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