Summary of the 2015 LHCb workshop on multi-body decays of D and B mesons

Interference phenomena in the decay $D^+_s\toηπ^0π^+$ induced by the $a^0_0(980)-f_0(980)$ mixing

“…Light meson spectroscopy from hadronic charm meson decays (in particular, study of the a 0 0 (980) and f 0 (980) resonances) is one of the main lines of the LHCb program on charm physics [24,25]. It is hoped that the measurements of the D + s meson decays with huge statistics, really reachable at LHCb, will allow us to reveal the isospin breaking effect caused by the a 0 0 (980) − f 0 (980) mixing in the D + s → ηπ 0 π + channel and obtain new information on the production mechanisms and nature of the light scalar mesons.…”

“…Detecting signs of the D + s → [a 0 0 (980)π + + a + 0 (980)π 0 ] → ηπ 0 π + decay mechanisms is one of the interesting problems both for the weak hadronic decay physics of the D + s meson and for the physics of the light scalar a 0 (980) and f 0 (980) mesons. At present, intensive investigations in these lines are realized by the LHCb, BaBar, CLEO, Belle, and BESIII Collaborations (see, for example, recent reviews [18,[24][25][26]).…”

Quasi-two-body decays $B_{(s)} \to P D_0^*(2400) \to P D π$ in the perturbative QCD approach

“…There are resonant and nonresonant contributions, final-state interactions [1,2], and complex interplay between the weak processes and the low-energy strong interactions [3] in the three-body B meson decays. The traditional approaches for the two-body decays are no longer satisfactory in the three-body processes [4]. In order to extract the most information from the experimental data of those three-body processes, different methods have been adopted abundantly in theoretical works [5].…”

“…Three-body hadronic B decays are known, in most cases, to be dominated by the low-energy scalar, vector, and tensor resonant states. In this situation, for the numerous three-body B meson processes, it is urgent to study the resonance contributions, which could be handled in the quasi-two-body framework where the factorization procedure can be applied [4,6].…”

Virtual contributions from $D^{\ast}(2007)^0$ and $D^{\ast}(2010)^{\pm}$ in the $B\to Dπh$ decays

“…While threebody hadronic B decays are known experimentally, in most cases, to be dominated by the low energy scalar, vector and tensor resonances, which could be analysed in the quasi-two-body framework by neglecting the three-body effects and the rescattering effects [79,80]. In the quasi-two-body framework, we always assume two final states, in the threebody processes, form a single resonant state which originated from a quark-antiquark pair and then the factorization procedure can be applied [71,81]. In this work, we will focus on the virtual contributions originated from off-shell D * in the measured decays…”