The quasi-two-body decays B(s)→(D(s),D¯(s))ρ→(D(s),D¯(s))ππ in the perturbative QCD factorization approach

• DOI: 10.1016/j.nuclphysb.2017.07.014
• Publication Date: 2017-07-27T19:00:30Z
• Authors: Ai-Jun Ma; Ya Li; Wen-Fei Wang; Zhen-Jun Xiao
• Keywords: Nuclear and particle physics. Atomic energy. Radioactivity; 0103 physical sciences; QC770-798; 01 natural sciences

In this paper, we studied the $B_{(s)} \to (D_{(s)},\bar{D}_{(s)}) \rho (D_{(s)}, \bar{D}_{(s)})\pi \pi$ decays by employing a framework for quasi-two-body in perturbative QCD (PQCD) factorization approach. We use two-pion distribution amplitudes $\Phi_{\pi\pi}$, which contains both resonant and nonresonant contributions from pion pair, to describe final state interactions (FSIs) between pions region. found that (a) all considered decays, PQCD predictions their branching ratios based on two-body agree well with each other due ${\cal B}(\rho \pi\pi) \approx 100\%$; For $B^+\to \bar{D^0}\rho^+\to \bar{D^0}\pi^+ \pi^0$ four decay modes, do measured values within errors; (b) great difference B}(B\to \bar{D} \pi\pi)$ D can be understood strong CKM suppression factor $ R_{\rm CKM} 3 \times 10^{-4}$; (c) $B_s\to \pi\pi$ however, of $R_{\rm s1}\approx 0.13$ s2}\approx 0.14$ very moderate $R^s_{\rm CKM}\approx 0.14$; (d) $R_{D\rho}$ phase $\cos\delta_{D\rho}$ three $B \rho$ modes LHCb measurements one standard deviation.