1997/07/31 by Ahmed Ali, A. Ali, C. Greub · 14 citations
Mathematics · Physics and Astronomy · #Algorithm #Ansatz #B meson #Dipole #Factorization #Hadron #Hamiltonian (control theory) #High-Energy Particle Collisions Research #Mathematical physics #Mathematics #Meson #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #hep-ph
paper · pdf · doi:10.1103/physrevd.57.2996
published as Phys.Rev.D57:2996-3016,1998 · 42 pages including 21 postscript figures; uses epsfig, some ref. added; improved mixing scheme for (eta,eta') system implemented; error corrected in (3.61) as explained below eq. (3.64) in the present version. Figs. 17-20 updated
arxiv created 1997/12/02 · openalex publication_date 1998/03/01 · arxiv updated 2011/01/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We report a theoretical analysis of the exclusive nonleptonic decays of the B^\ifmmode±\else\textpm\fi and B0 mesons into two light mesons, some of which have been measured recently by the CLEO Collaboration. Our analysis is carried out in the context of an effective Hamiltonian based on the standard model (SM), using next-to-leading order perturbative QCD calculations. We explicitly take into account the O(\ensuremathαs) penguin-loop diagrams of all four-Fermi operators and the O(\ensuremathαs) tree-level diagram of the chromomagnetic dipole operator, and give a prescription for including their effects in nonleptonic two-body decays. Using a factorization ansatz for the hadronic matrix elements, we show that existing data, in particular, the branching ratios B(B^\ifmmode±\else\textpm\fi\ensuremath→\ensuremathη^\ensuremath'K^\ifmmode±\else\textpm\fi), B(B^\ifmmode±\else\textpm\fi\ensuremath→\ensuremathπ^\ifmmode±\else\textpm\fiK0), B(B0(B0\ifmmode\else\textasciimacron\fi)\ensuremath→\ensuremathπ^\ensuremath∓K^\ifmmode±\else\textpm\fi), and B(B^\ifmmode±\else\textpm\fi\ensuremath→\ensuremathωh^\ifmmode±\else\textpm\fi)(h^\ifmmode±\else\textpm\fi=\ensuremathπ^\ifmmode±\else\textpm\fi,K^\ifmmode±\else\textpm\fi), can be accounted for in this approach. Thus, theoretical scenarios with a substantially enhanced Wilson coefficient of the chromomagnetic dipole operator (as compared to the SM) and/or those with a substantial color-singlet cc component in the wave function of \ensuremathη^\ensuremath' are not required by these data. We predict, among other decay rates, the branching ratios for the decays B0(B0\ifmmode\else\textasciimacron\fi)\ensuremath→\ensuremathπ^\ifmmode±\else\textpm\fi\ensuremathπ^\ensuremath∓ and B^\ifmmode±\else\textpm\fi\ensuremath→\ensuremathπ0\ensuremathπ^\ifmmode±\else\textpm\fi, which are close to the present experimental limits. Implications of some of these measurements for the parameters of the CKM matrix are presented.