2003/09/10 by Zhongzhi Song, Zhong-Zhi Song, Ce Meng +2
Physics and Astronomy · #B meson #Factorization #Fock space #Gluon #High-Energy Particle Collisions Research #Meson #Octet #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Perturbative QCD #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Vertex (graph theory) #Wave function #hep-ph
paper · pdf · doi:10.1103/physrevd.69.054009
published as Phys.Rev. D69 (2004) 054009 · 4 pages, revtex, 1 figure
arxiv created 2003/09/10 · openalex publication_date 2004/03/12 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In the framework of QCD factorization, we study the B-meson exclusive decays \stackrel\ensuremath→B\ensuremathχcJK where the spin-triplet P-wave charmonium states \ensuremathχcJ(J=0,1,2) are described by the color-singlet nonrelativistic wave functions. We find that for these decays (except \ensuremathχc1) there are infrared divergences arising from nonfactorizable vertex corrections as well as logarithmic end-point singularities arising from nonfactorizable spectator interactions at leading-twist order. The infrared divergences due to vertex corrections will explicitly break down QCD factorization within the color-singlet model for charmonia. Unlike in the inclusive decays where the higher Fock states with a color-octet cc pair and soft gluon can make contributions to remove the infrared divergences, their contributions cannot be accommodated in the exclusive two-body decays. As a result, the infrared divergences encountered in exclusive processes involving charmonia may raise a new question about QCD factorization and nonrelativistic QCD factorization in B exclusive decays.