Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-10-05
Nucl.Phys.B710:371-401,2005
Physics
High Energy Physics
High Energy Physics - Phenomenology
28 pages, LaTeX, five figures. Extended version submitted to NPB after the Belle Workshop; accepted for publication. The criti
Scientific paper
10.1016/j.nuclphysb.2004.12.035
Photon energy moments in B -> X_s+\gamma and the impact of experimental cuts are analyzed, including the biases exponential in the effective hardness missed in the conventional OPE. We incorporate the perturbative corrections fully implementing the Wilsonian momentum separation ab initio. This renders perturbative effects numerically suppressed while leaving heavy quark parameters and the corresponding light-cone distribution function well defined and preserving their physical properties. The moments of the distribution function are given by the heavy quark expectation values of which many have been extracted from the B -> X_c l\nu decays. The quantitative estimates for the biases in the heavy quark parameters determined from the photon moments show they cannot be neglected for E_cut \gsim 1.85GeV, and grow out of theory control for E_cut above 2.1GeV. Implications for the moments in the B -> X_c l\nu decays at high cuts are briefly addressed.
Benson Dave
Bigi Ikaros I.
Uraltsev Nikolai
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