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

Irinel Caprini (1) , Liliana Micu (1) , Claude Bourrely (2, 3)

1 National Institut of Physics and Nuclear Engineering
2 CPT - Centre de Physique Théorique - UMR 6207
3 CPT - Centre de Physique Théorique - UMR 7332

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.

Mots clés: B desintegration; quark-hadron duality

Domaines: Physique des Hautes Energies - Phénoménologie [hep-ph]

Irinel Caprini, Liliana Micu, Claude Bourrely. Quark-Hadron Duality, Factorization and Strong Phases in $B^0_d\to \pi^+\pi^-$ Decay. European Physical Journal C: Particles and Fields, 2001, 21, pp.145-153. ⟨hal-00127128⟩