Institute for Theoretical Particle Physics (TTP)

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preprints:2002:ttp02-06 [2016/03/17 11:03] (current)
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 +====== TTP02-06 Subleading shape functions in $B \to X_u \ell \bar \nu$ and the determination of $|V_{ub}|$ ====== 
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 +   <hidden TTP02-06  Subleading shape functions in $B \to X_u \ell \bar \nu$ and the determination of $|V_{ub}|$ > We calculate the subleading twist contributions to the endpoint of the 
 + inclusive lepton energy spectrum in $B \to X_u \ell \bar\nu$. We show 
 + that the same two subleading twist functions that appear in the decay 
 + $B \to X_s \gamma$ govern the subleading effects in this decay. Using 
 + these results we find large ${O}(\lqcd/m_B)$ corrections to the 
 + determination of $|V_{ub}|$ from the endpoint of the charged lepton 
 + spectrum.  Using a simple model for the relevant subleading shape functions, 
 + we estimate the uncertainty in $|V_{ub}|$ from $\lqcd/m_b$ corrections 
 + to be at the $\sim 15\%$ level for a lower lepton energy cut of 2.2 GeV. 
 + </hidden> 
 +|**Christian W. Bauer, Michael Luke, Thomas Mannel**  |  
 +|**  Phys. Lett.  B543 261-268 2002  **  | 
 +| {{preprints:2002:ttp02-06.pdf|PDF}} {{preprints:2002:ttp02-06.ps|PostScript}} [[http://arxiv.org/abs/hep-ph/0205150|arXiv]]   | 
 +| |