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Article overview
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Shape Functions from B -> X_c ell
u | H. Boos
; Th. Feldmann
; T. Mannel
; B.D. Pecjak
; | Date: |
1 Apr 2005 | Subject: | hep-ph | Affiliation: | Univ. Siegen, Germany | Abstract: | We study inclusive semi-leptonic B -> X_c ell
u decay using the power counting m_c ~ (Lambda_{QCD} m_b)^1/2. 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. Working at tree level and including O(Lambda_{QCD}/m_b) power corrections, we show that the decay rate 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. | Source: | arXiv, hep-ph/0504005 | Services: | Forum | Review | PDF | Favorites |
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