Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2000-07-06
Phys.Rev.D62:114011,2000
Physics
High Energy Physics
High Energy Physics - Phenomenology
8 pages LATEX, 4 figures, 1 table
Scientific paper
10.1103/PhysRevD.62.114011
We reconsider two classical proposals for the determination of the angle gamma of the unitarity triangle: B^\pm => chi_{c0} \pi^\pm => \pi^+\pi^-\pi^\pm and B_s => rho^0 K_S => \pi^+ \pi^- K_S. We point out the relevance, in both cases, of non resonant amplitudes, where the \pi^+ \pi^- pair is produced by weak decay of a B^* (J^P=1^-) or B_0 (J^P=0^+) off-shell meson. In particular, for the B decay channel, the inclusion of the B_0 pole completes some previous analyses and confirms their conclusions, provided a suitable cut in the Dalitz plot is performed; for the B_s decay the inclusion of the B^*, B_0 amplitudes enhances the role of the tree diagrams as compared to penguin amplitudes, which makes the theoretical uncertainty related to the B_s => rho^0 K_S decay process less significant. While the first method is affected by theoretical uncertainties, the second one is cleaner, but its usefulness will depend on the available number of events to perform the analysis.
Deandrea Aldo
Gatto Raoul
Ladisa Massimo
Nardulli Giuseppe
Santorelli Pietro
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