2004/03/25 by Alakabha Datta, David London · 8 citations
Chemistry · Mathematics · Physics and Astronomy · #Amplitude #Analytical Chemistry (journal) #CP violation #Chemistry #Chromatography #Geometry #High-Energy Particle Collisions Research #Mathematics #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Phase (matter) #Phase difference #Physics #Pi #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #hep-ex #hep-ph
paper · pdf · doi:10.1088/1126-6708/2004/04/072
published in Journal of High Energy Physics 2004(04), 072 (Springer Nature) · 38 pages, JHEP format, no figures. Comments added to text regarding most promising decay pairs; references added; conclusions unchanged
arxiv created 2004/03/25 · openalex publication_date 2004/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We discuss a method for extracting CP phases from pairs of B decays which are related by flavor SU(3). One decay (B0 -> M1 M2) receives a significant bbar -> dbar penguin contribution. The second (B' -> M1' M2') has a significant bbar -> sbar penguin contribution, but is dominated by a single amplitude. CP phase information is obtained using the fact that the B' -> M1' M2' amplitude is related by SU(3) to a piece of the B0 -> M1 M2 amplitude. The leading-order SU(3)-breaking effect (~25%) responsible for the main theoretical error can be removed. For some decay pairs, it can be written in terms of known decay constants. In other cases, it involves a ratio of form factors. However, this form-factor ratio can either be measured experimentally, or eliminated by considering a double ratio of amplitudes. In all cases, one is left only with a second-order effect, ~5%. We find twelve pairs of B decays to which this method can be applied. Depending on the decay pair, we estimate the total theoretical error in relating the B' -> M1' M2' and B0 -> M1 M2 amplitudes to be between 5% and 15%. The most promising decay pairs are Bd -> pi+ pi- and Bu+ -> K0 pi+, and Bd -> D+ D- and Bd -> Ds+ D- or Bu+ -> Ds+ D0bar.