2006/08/31 by B. El-Bennich, A. Furman, R. Kaminski +4
Physics and Astronomy · #Neutrino Physics Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ex #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevd.74.114009
published as Phys.Rev.D74:114009,2006 · 12 pages, 7 figures, subsection VD, Appendix A and one reference added
arxiv created 2006/11/22 · openalex publication_date 2006/12/13 · arxiv updated 2009/12/01 · openalex created_date 2017/05/26 · openalex updated_date 2026/07/28
We study the contribution of the strong interactions between the two pions in S and P waves to the weak B\ensuremath→\ensuremathπ\ensuremathπK decay amplitudes. The interference between these two waves is analyzed in the \ensuremathπ\ensuremathπ effective-mass range of the \ensuremathρ(770)0 and f0(980) resonances. We use a unitary \ensuremathπ\ensuremathπ and KK coupled-channel model to describe the S-wave interactions and a Breit-Wigner function for the P-wave amplitude. The weak B-decay amplitudes, obtained from QCD factorization, are supplemented with charming penguin contributions in both waves. The four complex parameters of these long-distance terms are determined by fitting the model to the BABAR and Belle data on B^\ifmmode±\else\textpm\fi,0\ensuremath→\ensuremathπ+\ensuremathπ^\ensuremath-K^\ifmmode±\else\textpm\fi,0 branching fractions, CP asymmetries, \ensuremathπ\ensuremathπ effective-mass and helicity-angle distributions. This set of data, and, in particular, the large direct CP asymmetry for B^\ifmmode±\else\textpm\fi\ensuremath→\ensuremathρ(770)0K^\ifmmode±\else\textpm\fi decays, is well reproduced. The interplay of charming penguin amplitudes and the interference of S and P waves describes rather successfully the experimental S and A values of the CP-violating asymmetry for both B0\ensuremath→f0(980)KS0 and B0\ensuremath→\ensuremathρ(770)0KS0 decays.