Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1999-04-02
Phys.Rev. D60 (1999) 074016
Physics
High Energy Physics
High Energy Physics - Phenomenology
17 pages, Latex, 2 figures
Scientific paper
10.1103/PhysRevD.60.074016
Recently, the final state strong interactions in nonleptonic B decays were investigated in a formalism based on hadronic unitarity and dispersion relations in terms of the off-shell mass squared of the $B$ meson. We consider an heuristic derivation of the dispersion relations in the mass variables using the reduction LSZ formalism and find a discrepancy between the spectral function and the dispersive variable used in the recent works. The part of the unitarity sum which describes final state interactions is shown to appear as spectral function in a dispersion relation based on the analytic continuation in the mass squared of one final particles. As an application, by combining this formalism with Regge theory and SU(3) flavour symmetry we obtain constraints on the tree and the penguin amplitudes of the decay $B^0\to \pi^+\pi^-$.
Bourrely Claude
Caprini Irinel
Micu L.
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