Quark-Hadron Duality, Factorization and Strong Phases in $B^0_d \to \pi^+\pi^-$ Decay
High Energy Physics - Phenomenology
2009-01-07 v3
Abstract
We consider the hadronic description of the 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.
Cite
@article{arxiv.hep-ph/0010314,
title = {Quark-Hadron Duality, Factorization and Strong Phases in $B^0_d \to \pi^+\pi^-$ Decay},
author = {I. Caprini and L. Micu and C. Bourrely},
journal= {arXiv preprint arXiv:hep-ph/0010314},
year = {2009}
}
Comments
16 pages, revised version, introduction of a scale dependence