2005/04/30 by Heike Boos, H. Boos, Th. Feldmann +5 · 1 citation
Computer Science · Mathematics · Medicine · Physics and Astronomy · #Digital Image Processing Techniques #Geometric and Algebraic Topology #Medical Imaging Techniques and Applications #hep-ph
paper · pdf · doi:10.1103/physrevd.73.036003
published as Phys.Rev. D73 (2006) 036003 · 18 pages, 1 figure, version to appear in PRD
arxiv created 2006/01/30 · openalex publication_date 2006/02/22 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We study inclusive semileptonic B\ensuremath→Xc\ensuremathℓ\ensuremathν_\ensuremathℓ decay using the power counting mc\ensuremath∼√\ensuremathΛQCDmb. Assuming this scaling for the charm-quark mass, the decay kinematics can be chosen to access the shape-function region even in b\ensuremath→c transitions. To apply effective field theory methods in this region we extend soft-collinear effective theory to describe massive collinear quarks. We calculate the tree-level decay rate, including O(\ensuremathΛQCD/mb) power corrections, and show that it factorizes into a convolution of jet and shape functions. We identify a certain kinematical variable whose decay spectrum is proportional to the universal leading-order shape function familiar from b\ensuremath→u decay, and speculate as to whether information about this shape function can be extracted from data on b\ensuremath→c decay.