Four-body decays B(s) → (Kπ)S/P(Kπ)S/P in the perturbative QCD approach

• Published in: The journal of high energy physics Vol. 2021; no. 5; pp. 1 - 52
• Main Authors: Rui, Zhou, Li, Ya, Li, Hsiang-nan
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.05.2021; Springer Nature B.V; SpringerOpen
• Subjects: Amplitudes; Asymmetry; Classical and Quantum Gravitation; CP violation; Decay; Elementary Particles; Heavy Quark Physics; Helicity; High energy physics; Matter & antimatter; P waves; Parameterization; Perturbative QCD; Physics; Physics and Astronomy; Polarization; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Quarks; Regular Article - Theoretical Physics; Relativity Theory; Resonance; S waves; String Theory; Heavy Quark Physics; CP violation; Perturbative QCD
• ISSN: 1029-8479; 1126-6708; 1127-2236; 1029-8479
• DOI: 10.1007/JHEP05(2021)082

A bstract We investigate the four-body decays B ( s ) → ( Kπ ) S/P ( Kπ ) S/P in the Kπ -pair invariant mass region around the K * (892) resonance in the perturbative QCD (PQCD) approach, where ( Kπ ) S/P denotes a S - or P -wave Kπ configuration. The contributions from the P -wave resonance K * (892) and from possible S -wave components are included into the parametrization of the Kπ two-meson distribution amplitudes, which are the non-perturbative inputs in this formalism. We calculate the branching ratio for each resonance and observe sizable S -wave contributions to the B s modes, well consistent with recently available LHCb data. We also deduce the polarization fractions for the K ∗ K ¯ ∗ final states, and compare our predictions to those in previous PQCD analyses of the corresponding two-body B → K ∗ K ¯ ∗ decays. The polarization puzzle associated with the two U -spin related channels B 0 → K ∗ 0 K ¯ ∗ 0 and B s 0 → K ∗ 0 K ¯ ∗ 0 still exists. In addition to direct CP asymmetries, triple-product asymmetries and S -wave induced direct CP asymmetries originating from the interference among various helicity amplitudes, are presented. It is shown that true triple-product asymmetries are rather small, while direct CP asymmetries and S -wave-induced direct CP asymmetries are significant in some decays. Our results will be subject to stringent tests with precise data from B factories in the near future.