Jul 16 – 22, 2009
Kraków, Poland
Europe/Warsaw timezone

Towards a unitary Dalitz plot analysis of three- body hadronic B decays

Jul 18, 2009, 9:50 AM
Large Lecture - Hall A (Kraków, Poland)

Large Lecture - Hall A

Kraków, Poland

The Auditorium Maximum of the Jagiellonian University 33 Krupnicza Street 31-123 Kraków
Flavour Physics II. Flavour Physics


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


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)


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)

Presentation materials