Quark-Hadron Duality, Factorization and Strong Phases in $B^0_d \to π^+π^-$ Decay

Details Quark-Hadron Duality, Factorization and Strong Phases in $B^0_d \to π^+π^-$ Decay Quark-Hadron Duality, Factorization and Strong Phases in $B^0_d \to π^+π^-$ Decay

2000-10-27

arxiv.org/abs/hep-ph/0010314v3

Eur.Phys.J.C21:145-153,2001

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 pages, revised version, introduction of a scale dependence

Scientific paper

10.1007/s100520100717

We consider the hadronic description of the $B^0_d\to \pi^+\pi^-$ decay, with the aim to investigate the strong phases generated by the final state interactions. The derivation of the dispersion relations using the Lehmann-Symanzik-Zimmermann formalism and the Goldberger-Treiman method to include inelastic effects in the spectral function are presented. We discuss the problem of quark-hadron duality and estimate in the hadronic formalism the corrections to the factorized amplitude in the heavy quark limit.

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