2007/01/31 by Chuan-Hung Chen, C. Geng, Chao-Qiang Geng · 2 citations
Engineering · Mathematics · Physics and Astronomy · #Annihilation #Combinatorics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Superconducting Materials and Applications #hep-ex #hep-ph
paper · pdf · doi:10.1103/physrevd.75.054010
published as Phys.Rev.D75:054010,2007 · 20 pages, 4 figures, references added, version to appear in Phys. Rev. D
arxiv created 2007/02/08 · openalex publication_date 2007/03/13 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
As the annihilation contributions play important roles in solving the puzzle of the small longitudinal polarizations in B\ensuremath→K*\ensuremathφ decays, we examine similar effects in the decays of B\ensuremath→K0,2*(1430)\ensuremathφ. For the calculations on the annihilated contributions, we adopt that the form factors in B\ensuremath→K(*)\ensuremathφ decays are parameters determined by the observed branching ratios (BRs), polarization fractions, and relative angles in experiments, and we connect the parameters between B\ensuremath→K0(2)*\ensuremathφ and B\ensuremath→K(*)\ensuremathφ. We find that the BR of Bd\ensuremath→K0*0(1430)\ensuremathφ is (3.69\ifmmode±\else\textpm\fi0.47)\ifmmode×\else\texttimes\fi10^\ensuremath-6. We show that the BR of Bd\ensuremath→K2*0(1430)\ensuremathφ is (1.70\ifmmode±\else\textpm\fi0.80)\ifmmode×\else\texttimes\fi10^\ensuremath-6 in the 2nd version of the Isgur-Scora-Grinstein-Wise (ISGW2) model, whereas it can be a broad range of values in the light-front quark model. In terms of the recent BABAR observations on BRs and polarization fractions in Bd\ensuremath→K2*0(1430)\ensuremathφ, the results in the light-front quark model are found to be more favorable. In addition, due to the annihilation contributions to B\ensuremath→K2*\ensuremathφ and B\ensuremath→K*\ensuremathφ being opposite in sign, we demonstrate that the longitudinal polarization of Bd\ensuremath→K2*0(1430)\ensuremathφ is always O(1) with or without including the annihilation contributions.