Phase Motion of the Scalar ππ\pi \pi Amplitudes in D+D^+, Ds+→π−π+π+D^+_s \to \pi^-\pi^+\pi^+ Decays

We make a direct and model-independent measurement of the low $\pi^+\pi^-$ mass phase motion in the $D^+ \to \pi^-\pi^+\pi^+$ decay. Our preliminary results show a strong phase variation, compatible with the isoscalar $\sigma(500)$ meson. This result confirms our previous result where we found evidence for the existence of this scalar particle using full Dalitz-plot analysis. We apply the Amplitude Difference (AD) method to the same Fermilab E791 data sample used in the preceding analysis. We also give an example of how we extract the phase motion of the scalar amplitude, looking at the $f_0(980)$ in $D^+_s \to \pi^-\pi^+\pi^+$ decay.Comment: Invited talk given at Scalar Meson Workshop, SUNY Institute of Technology, May 2003, Utica, NY. 14 pages, 13 figure

Charmless B decays in modes with similar tree and penguin contributions

Charmless $B$ decays are dominated by contributions from the short distance amplitudes from tree level and penguin loop-level amplitudes. The Tree contribution presents a weak phase $\gamma$. The relationship between these two amplitudes can generated a CP asymmetry depending from the relative amount among them in a particular decay. In multi-body charmless $B$ decays, these relative contribution can change along the phase space, given a non isotropic distribution of CP asymmetries in the Dalitz plot. Two recent LHCb analyses involving charmless multi-body B decays are discussed: the obsevation of CP asymmetries in the phase space of the three-body decays $B^\pm \to \pi^\pm \pi^+ \pi^-$ and $B^\pm \to \pi^\pm K^+ K^-$; and the angular analysis of the $B^0 \to \phi K^*(892)^0$ decay.Comment: Proceedings to FPCP-2014- Flavor Physics \& CP Violation, Marseille, France, May 25-30, 201

Final state hadronic interactions and non-resonant B±→K±π+π−B^\pm\to K^\pm\pi^+\pi^- decays

We evaluate the non-resonant decay amplitude of the process $B^\pm\to K^\pm\pi^+ \pi^-$ using an approach based on final state hadronic interactions described in terms of meson exchanges. We conclude that this mechanism generates inhomogeneities in the Dalitz plot of the B decay.Comment: 6 pages, 5 figures. Major changes. Version accepted for publication in Phys. Lett.

Looking for meson molecules in B decays

We discuss the possibility of observing a loosely bound molecular state in a B three-body hadronic decay. In particular we use the QCD sum rule approach to study a $\eta^\prime-\pi$ molecular current. We consider an isovector-scalar $I^G J^{PC}= 1^-~0^{++}$ molecular current and we use the two-point and three-point functions to study the mass and decay width of such state. We consider the contributions of condensates up to dimension six and we work at leading order in $\alpha_s$. We obtain a mass around 1.1 GeV, consistent with a loosely bound state, and a $\eta^\prime-\pi\rightarrow K^+ K^-$ decay width around 10 MeV.Comment: 7 pages, 8 figure