https://doi.org/10.1140/epjc/s2004-01671-2
theoretical physics
Moments of semileptonic B decay distributionsin the 1/m b expansion
1
INFN, Sezione di Torino, 10125, Torino, Italy
2
Department of Physics, University of Notre Dame du Lac, IN 46556, Notre Dame, USA
3
INFN, Sezione di Milano, Milano, Italy
We report the OPE-based predictions for a number of lepton energy and hadronic mass moments in the inclusive semileptonic 
decays with a lower cut on the charged lepton energy. We rely on the direct OPE approach where no expansion in the charm mass is employed and the theoretical input is a limited set of underlying OPE parameters including m
b
and m
c
. A Wilsonian treatment with a “hard” cutoff is applied using running low-scale masses 
and a kinetic expectation value 
. This leaves for perturbative corrections only genuinely short-distance effects and makes them numerically small. Predictions are also given for the modified hadronic moments of the kinematic variable 
which is a combination of M
X
2 and E
X
. The measurement of such moments would allow a more reliable extraction to be made of higher-order non-perturbative heavy quark parameters from experiment.
© Springer-Verlag, 2004
