Institute for Theoretical Particle Physics (TTP)

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preprints:2008:ttp08-07 [2016/03/17 11:03] (current)
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 +====== TTP08-07 Modelling light-cone distribution amplitudes from non-relativistic bound states ====== 
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 +   <hidden TTP08-07  Modelling light-cone distribution amplitudes from non-relativistic bound states > We calculate light-cone distribution amplitudes for non-relativistic  
 + bound states, including radiative corrections from relativistic gluon  
 + exchange to first order in the strong coupling constant.  
 + We distinguish between bound states of quarks with equal (or similar)  
 + mass, m_1 ~ m_2, and between bound states where the quark masses are  
 + hierarchical, m_1 >> m_2. For both cases we calculate the distribution  
 + amplitudes at the non-relativistic scale and discuss the  
 + renormalization-group evolution for the leading-twist and 2-particle  
 + distributions. Our results apply to hard exclusive reactions  
 + with non-relativistic bound states in the QCD factorization approach  
 + like, for instance, (B_c -> eta_c l nu) or (e^+ e^- -> J/psi eta_c).  
 + They also serve as a toy model for light-cone distribution amplitudes  
 + of light mesons or heavy B and D mesons, for which certain  
 + model-independent properties can be derived. In particular, we  
 + calculate the anomalous dimension for the B meson distribution  
 + amplitude phi_B^-(w) in the Wandzura-Wilczek approximation and derive  
 + the according solution of the evolution equation at leading logarithmic  
 + accuracy. 
 + </hidden> 
 +|**Guido Bell and Thorsten Feldmann**  |  
 +|**  JHEP   0804 061 2008  **  | 
 +| {{preprints:2008:ttp08-07.pdf|PDF}} {{preprints:2008:ttp08-07.ps|PostScript}} [[http://arxiv.org/abs/0802.2221|arXiv]]   | 
 +| |