Eur. Phys. J. C (2008) 56: 357-370
https://doi.org/10.1140/epjc/s10052-008-0668-5

Regular Article - Theoretical Physics

QCD sum rules analysis of the rare decays

¹ Department of Physics, Middle East Technical University, 06531, Ankara, Turkey
² Physics Department, Shiraz University, Shiraz, 71454, Iran
³ Department of Electrical and Electronics, Cyprus International University, Haspolat-Lefkosa, north Cyprus, via Mersin 10, Turkey

^* e-mail: e146342@metu.edu.tr

Received: 19 May 2008
Published online: 5 August 2008

Abstract

Taking into account the gluon correction contributions to the correlation function, the form factors relevant to the rare decays are calculated in the framework of the three-point QCD sum rules, where X stands for axial vector particle, AV(D _s1), and vector particles, V(D ^*,D _s ^* ). The total decay width as well as the branching ratio of these decays are evaluated using the q ² dependent expressions of the form factors. A comparison of our results with the predictions of the relativistic constituent quark model is presented.