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High Energy Physics - Phenomenology

arXiv:hep-ph/0504005 (hep-ph)
[Submitted on 1 Apr 2005 (v1), last revised 30 Jan 2006 (this version, v2)]

Title:Shape Functions from B -> X_c \ell ν

Authors:H. Boos, Th. Feldmann, T. Mannel, B.D. Pecjak (Univ. Siegen, Germany)
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Abstract: We study inclusive semi-leptonic (B -> X_c \ell \nu) decay using the power counting m_c ~ \sqrt{Lambda_{QCD} m_b}. Assuming this scaling for the charm-quark mass, the decay kinematics can be chosen to access the shape-function region even in b -> c transitions. To apply effective field theory methods in this region we extend SCET to describe massive collinear quarks. We calculate the tree-level decay rate, including O(Lambda_{QCD}/m_b) 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 -> u decay, and speculate as to whether information about this shape function can be extracted from data on b -> c decay.
Comments: 18 pages, 1 figure, version to appear in PRD
Subjects: High Energy Physics - Phenomenology (hep-ph)
Report number: SI-HEP-2005-02
Cite as: arXiv:hep-ph/0504005
  (or arXiv:hep-ph/0504005v2 for this version)
  https://doi.org/10.48550/arXiv.hep-ph/0504005
Journal reference: Phys.Rev. D73 (2006) 036003
Related DOI: https://doi.org/10.1103/PhysRevD.73.036003

Submission history

From: Thorsten Feldmann [view email]
[v1] Fri, 1 Apr 2005 14:30:11 UTC (19 KB)
[v2] Mon, 30 Jan 2006 14:05:22 UTC (31 KB)
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