1999/03/31 by Robert Fleischer
Chemistry · Physics and Astronomy · #Bar (unit) #Chemistry #Crystallography #Formalism (music) #Hadron #High-Energy Particle Collisions Research #Mixing (physics) #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Unitarity #hep-ph
paper · pdf · doi:10.1103/physrevd.60.073008
published as Phys. Rev. D 60, 073008 (1999) · 22 pages, 1 figure (modified presentation, including an extended discussion of $B_d\to J/ψρ^0$; conclusions partly changed)
arxiv created 1999/04/26 · openalex publication_date 1999/09/08 · openalex created_date 2016/06/24 · arxiv updated 2016/08/24 · openalex updated_date 2026/08/05
The time-dependent angular distributions of certain Bd,s decays into final states that are admixtures of CP-even and CP-odd configurations provide valuable information about CKM phases and hadronic parameters. We present the general formalism to accomplish this task, taking also into account penguin contributions, and illustrate it by considering a few specific decay modes. We give particular emphasis to the decay Bd\ensuremath→J/\ensuremathψ\ensuremathρ0, which can be combined with Bs\ensuremath→J/\ensuremathψ\ensuremathφ to extract the Bd0\ensuremath-Bd0 mixing phase and---if penguin effects in the former mode should be sizeable---also the angle \ensuremathγ of the unitarity triangle. As an interesting by-product, this strategy allows us to take into account also the penguin effects in the extraction of the Bs0\ensuremath-Bs0 mixing phase from Bs\ensuremath→J/\ensuremathψ\ensuremathφ. Moreover, a discrete ambiguity in the extraction of the CKM angle \ensuremathβ can be resolved, and valuable insights into SU(3)-breaking effects can be obtained. Other interesting applications of the general formalism presented in this paper, involving Bd\ensuremath→\ensuremathρ\ensuremathρ and Bs,d\ensuremath→K*K* decays, are also briefly noted.