2002/08/24 by C. Bauer, C. W. Bauer, Benjamı́n Grinstein +5 · 4 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ex #hep-ph
paper · pdf · doi:10.1103/physrevd.67.014010
published as Phys.Rev.D67:014010,2003 · 15 pages, 3 included .eps figures, minor changes
arxiv created 2002/08/24 · openalex publication_date 2003/01/21 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
In QCD the amplitude for B0\ensuremath→D(*)+\ensuremathπ^\ensuremath- factorizes in the large Nc limit or in the large energy limit Q\ensuremath≫\ensuremathΛQCD where Q=mb,mc,mb\ensuremath-mc. Data also suggest factorization in the exclusive processes \stackrel\ensuremath→BD*\ensuremathπ+\ensuremathπ^\ensuremath-\ensuremathπ^\ensuremath-\ensuremathπ0 and \stackrel\ensuremath→BD*\ensuremathω\ensuremathπ^\ensuremath-; however, by themselves neither a large Nc nor a large Q can account for this. We give exact large Nc relations among isospin amplitudes for B\ensuremath→D(*)X and B\ensuremath→D(*)D(*)X, which can be used to test factorization through exclusive or inclusive measurements. Noting that the condition for large energy release in B0\ensuremath→D+\ensuremathπ^\ensuremath- is enforced by the small velocity limit, mb\ensuremath≫mb\ensuremath-mc\ensuremath≫\ensuremathΛ, we propose that the combined large Nc and SV limits justify factorization in \stackrel\ensuremath→BD(*)X. This combined limit is tested with the \stackrel\ensuremath→BD*X inclusive decay spectrum measured by CLEO.