Rescattering and chiral dynamics in B→ρπ decay

S. Gardner, Ulf G. Meißner

Research output: Contribution to journalArticlepeer-review

86 Scopus citations

Abstract

We examine the role of B0(B̄0)→σπ0→ π+ π- π0 decay in the Dalitz plot analysis of B0(B̄0)→ρπ →π+π-π0 decays, employed to extract the CKM parameter α. The σπ channel is significant because it can break the relationship between the penguin contributions in B→ρ0π0, B→ρ+π-, and B→ρ-π+ decays consequent to an assumption of isospin symmetry. Its presence thus mimics the effect of isospin violation. The σπ0 state is of definite CP, however; we demonstrate that the B→ρπ analysis can be generalized to include this channel without difficulty. The σ or f0(400-1200) "meson" is a broad I = J = 0 enhancement driven by strong ππ rescattering; a suitable scalar form factor is constrained by the chiral dynamics of low-energy hadron-hadron interactions-it is rather different from the relativistic Breit-Wigner form adopted in earlier B →σπ and D→σπ analyses. We show that the use of this scalar form factor leads to an improved theoretical understanding of the measured ratio Br(B̄0→ρ π±)/Br(B-→ρ0 π-).

Original languageEnglish
Article number094004
Pages (from-to)940041-9400417
Number of pages8460377
JournalPhysical review D
Volume65
Issue number9 A
DOIs
StatePublished - May 1 2002

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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