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Advances in High Energy Physics
Volume 2014, Article ID 451613, 9 pages
Research Article

Studies of Three-Body Decay of to and to *

Physics Department, Semnan University, P.O. Box 35195-363, Semnan, Iran

Received 3 November 2013; Revised 6 February 2014; Accepted 6 February 2014; Published 3 April 2014

Academic Editor: Sandip Pakvasa

Copyright © 2014 Behnam Mohammadi and Hossein Mehraban. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.


We investigate the and decay by using the Dalitz plot analysis. As we know there are tree, penguin, emission, and emission-annihilation diagrams for these decay modes in the factorization approach. The transition matrix element is factorized into a form factor multiplied by decay constant and also a form factor multiplied by decay constant. According to QCD factorization approach and using the Dalitz plot analysis, we calculate the branching ratios of the and three-body decay in view of the mixing and obtain the value of the , while the experimental results of them are and , respectively. In this research we also analyze the decay which is similar to the previous decay, but there is no experimental data for the last decay. Since for calculations of the decay we use assumptions of the decay, we hope that if this decay will be measured by the LHCb in the future, the experimental results will be in agreement with our calculations.