### Speaker

Prof.
Leonard Lesniak
(Henryk Niewodniczanski Institute of Nuclear Physics PAN, Krakow, Poland)

### Description

Dalitz plot analysis of three-body hadronic final states in B decays should
be performed in a unitary approach. A first step towards this goal will be to
enforce two-body unitarity. Here we apply this concept to the K pi channel for
the B --> K pi pi decays by using a unitary coupled channel model to describe
the kaon-pion interactions. The weak decay amplitudes, derived in QCD
factorization, are supplemented by phenomenological contributions to the penguin amplitudes. Strong interaction amplitudes are constrained by chiral symmetry, QCD and experimental data on meson-meson interactions. The strange K pi scalar and vector form factors, which
appear naturally in the factorization approach, are used to calculate the K pi
effective mass and helicity angle distributions, branching ratios,
CP asymmetries and the phase difference between the B0 and anti B0 decay
amplitudes to K*(892) pi. The fit on the parameters of our phenomenological
amplitudes lead to a good agreement with the experimental data, particularly for the kaon-pion
effective mass distributions. However, our predicted
B^\pm --> K*0(1430) pi^\pm, K*0(1430) --> K ^\pm pi^\mp branching
fraction, equal to (11.6 \pm 0.6) 10^{-6}, is smaller than the results
of the Belle and BaBar collaborations, obtained from isobar model analyses.
A new parameterization of the S-wave K pi effective mass distribution, based on the knowledge of the K pi scalar form factor, is proposed [1]. It can be used in future experimental
Dalitz plot analyses.
Reference:
[1] B. El-Bennich, A. Furman, R. Kaminski, L. Lesniak, B. Loiseau, and B. Moussallam,
CP violation and pion-kaon interactions in B --> K pi pi decays,
arXiv:0902.3645 [hep-ph], accepted for publication in Phys. Rev. D.

### Primary author

Prof.
Leonard Lesniak
(Henryk Niewodniczanski Institute of Nuclear Physics PAN, Krakow, Poland)

### Co-authors

Agnieszka Furman
(ul. Bronowicka 85/26, 30-091 Krakow, Poland)
Bachir Moussallam
(Groupe de Physique Theorique, Institut de Physique Nucleaire, Orsay, France)
Benoit Loiseau
(LPNHE, Groupe Theorie, Universite Pierre et Marie Curie, Paris, France)
Bruno El-Bennich
(Argonne National Laboratory, Argonne, Illinois, USA)
Robert Kaminski
(Henryk Niewodniczanski Institute of Nuclear Physics PAN, Krakow, Poland)