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

I. Caprini·L. Micu·C. Bourrely
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Abstract

We consider the hadronic description of the $B^0_d\to π^+π^-$ 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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I. Caprini, L. Micu, C. Bourrely. 2001-07-09. Quark-Hadron Duality, Factorization and Strong Phases in $B^0_d \to π^+π^-$ Decay. https://doi.org/10.1007/s100520100717

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