Systematic errors of transition form factors extracted by means of light-cone sum rules
Abstract
This talk presents results of our study of heavy-to-light transition form factors extracted with the help of light-cone sum rules. We employ a model with scalar particles interacting via massless-boson exchange and study the heavy-to-light correlator, relevant for the extraction of the transition form factor. We calculate this correlator in two different ways: by making use of the Bethe-Salpeter wave function of the light bound state and by making use of the light-cone expansion. This allows us to calculate the full correlator and separately the light-cone contribution to it. In this way we show that the off-light cone contributions are not suppressed compared to the light-cone one by any large parameter. Numerically, the difference between the value of the form factor extracted from the full correlator and from the light-cone contribution to this correlator is found to be about 20-30% in a wide range of masses of the particles involved in the decay process.
Cite
@article{arxiv.0712.0178,
title = {Systematic errors of transition form factors extracted by means of light-cone sum rules},
author = {Wolfgang Lucha and Dmitri Melikhov and Silvano Simula},
journal= {arXiv preprint arXiv:0712.0178},
year = {2007}
}
Comments
8 pages, talk given at "Hadron 07", XII International Conference on Hadron Spectroscopy, Frascati, October 8-13, 2007