On the role of the final state interactions in rare B-decays

TL;DR

This paper investigates the impact of final state interactions on hadronic B-decays using a Regge phenomenology model, explaining phase patterns, CP-violation effects, and various decay puzzles.

Contribution

It introduces a Regge-based FSI model that accounts for phase patterns and CP-violation in B-decays, providing new insights into decay dynamics and polarization puzzles.

Findings

Model explains phases in B→ππ and B→ρρ decays

Precise determination of unitarity triangle angle α

Large FSI effects account for polarization and decay puzzles

Abstract

The effects of final state interactions (FSI) in hadronic B-decays are investigated. The model for FSI, based on Regge phenomenology of high-energy hadronic interactions is proposed. It is shown that this model explains the pattern of phases in matrix elements of $B\to\pi\pi$ and $B\to\rho\rho$ decays. These phases play an important role for CP-violation in B-decays. The most precise determination of the unitarity triangle angle $\alpha$ from $B_d\to \rho\pi$ decays is performed. The relation between CP-asymmetries in $B\to K\pi$ decays is discussed. It is emphasized that the large distance FSI can explain the structure of polarizations of the vector mesons in B-decays and other puzzles like a very large branching ratio of the B-decay to $\bar\Xi_c\Lambda_c$.