2005/08/29 by Prasanta Kumar Das, Das, Prasanta Kumar
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/0508292
16 pages, 12 eps figures
arxiv created 2005/08/29 · openalex publication_date 2005/08/29 · arxiv updated 2009/12/01 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28
The charmless nonleptonic B→ ηK decay is an useful probe to test the strong interaction dynamics part of the Standard Model. Within the QCD factorization framework, we analyse this particular decay by using the most recent data of BR(B+ → ηK+) and Acp(B+ → ηK+) available in the Heavy Flavour Averaging Group (HFAG) webcite. Using these data we constraint the unitarity angle γ and η-η' mixing angle θ. We find that such constraint is scale dependent, e.g. for γ= 70o, the data for BR(B+ → ηK+) (= (2.6 ± 0.5)× 10-6) suggests that θ should lie in between -46o and -44o, -30o and -26o for μ= mb/2. For μ= mb, the same BR data (with the same γ) suggests that θ should lie in between -54o and -50o, -30o and -26o. The allowed region followed from Acp=-0.25± 0.14, is found to be rather wider than that obtained from the BR(B+ → ηK+) data. For γ=70o and θ= -21.3o, we find BR(B-(+) → ηK-(+))= 2.93(4.91) × 10-6 and Acp=-0.252 at μ=mb, and about 2.98(5.72) × 10-6 and -0.315 corresponding to μ=mb/2. We investigate the role of the power corrections in such constraints.