Rescattering and chiral dynamics in B\to ρπdecay
| dc.creator | Gardner, S. | |
| dc.creator | Meißner, Ulf-G. | |
| dc.date | 2001-12-20 | |
| dc.date | 2002-02-17 | |
| dc.date.accessioned | 2026-07-07T11:31:12Z | |
| dc.date.available | 2026-07-07T11:31:12Z | |
| dc.description | We examine the role of B^0(\bar B^0) \to σπ^0 \to π^+π^- π^0 decay in the Dalitz plot analysis of B^0 (\bar B^0) \to ρπ\to π^+π^-π^0 decays, employed to extract the CKM parameter α. The σπchannel is significant because it can break the relationship between the penguin contributions in B\toρ^0π^0, B\toρ^+π^-, and B\toρ^-π^+ decays consequent to an assumption of isospin symmetry. Its presence thus mimics the effect of isospin violation. The σπ^0 state is of definite CP, however; we demonstrate that the B\toρπanalysis can be generalized to include this channel without difficulty. The σor f_0(400-1200) ``meson'' is a broad I=J=0 enhancement driven by strong ππrescattering; 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\toσπand D\toσπanalyses. We show that the use of this scalar form factor leads to an improved theoretical understanding of the measured ratio Br(\bar B^0 \to ρ^\mp π^\pm) / Br(B^-\to ρ^0 π^-). | |
| dc.description | 26 pages, 8 figs, published version. typos fixed, minor changes | |
| dc.identifier | https://arxiv.org/abs/hep-ph/0112281 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/0112281 | |
| dc.identifier | Phys.Rev.D65:094004,2002 | |
| dc.identifier | doi:10.1103/PhysRevD.65.094004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/197188 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Rescattering and chiral dynamics in B\to ρπdecay | |
| dc.type | text |