1202.1652 (B. Loiseau et al.)

CP violation and strong pion-pion interactions in the weak B charged
decays into three charged pions    [PDF]

B. Loiseau, J. -P. Dedonder, A. Furman, R. Kaminski, L. Lesniak

An analysis of charged B decay data in a quasi two-body decay into a charged
pion plus a S, P,or D state of two charged pions is performed in the QCD
factorization framework. The short distance amplitudes are calculated including
next-to-leading order corrections in the strong coupling constant for vertex
and penguin contributions. The long distance amplitudes due to the two charged
pion final state interactions are described by the pion non-strange scalar and
vector form factors for the two-pion S- and P-wave states, respectively and by
a relativistic Breit-Wigner formula for the D-wave state. We achieve a good fit
of the data with only three parameters for the S wave, one for the P wave and
one for the D wave. Our model gives a unified unitary description of the three
scalar resonances, f_0(600), f_0(980) and f_0(1400) in terms of the pion scalar
form factor. We predict for the B to f_2(1270) transition form factor a value
of 0.098+-0.007 at a momentum transfer square equal to the pion-mass square.

View original: http://arxiv.org/abs/1202.1652