Study of the charmed meson decays is mentioned in the articles. These researches help to improve the results of light mesons decays. In this paper, applying the factorization method, we try to estimate the branching ratios of charmed meson decays. | VNU Journal of Science: Mathematics – Physics, Vol. 32, No. 3 (2016) 56-63 Using Factorization to Estimate the Charmed Meson Decays Nguyen Thu Huong*, Ha Huy Bang Faculty of Physics, VNU University of Science, 334 Nguyen Trai, Thanh Xuan, Hanoi, Vietnam Received 15 September 2016 Revised 28 September 2016; Accepted 30 September 2016 Abstract: Study of the charmed meson decays is mentioned in the articles [1, 2]. These researches help to improve the results of light mesons decays. In this paper, applying the factorization method, we try to estimate the branching ratios of charmed meson decays, namely . This can be an effective method for computing the decay rates of new channels. Keywords: Factorization, charmed meson decays, operator product expansion. 1. Introduction Quantum Chromodynamics (QCD) is the theory of strong interaction we do not understand well at low energy. For the new channels, we would liketo look for the suitable approximation method to estimate the decay rates and cross-sections. One of those methods we would like to mention in the article is factorization. Factorization in the case of semi – leptonic decays with short and long distance QCD are researched in some articles [3], not mentioned in our article. And the case of non – leptonic D-decays in which the final state consists exclusively out of hadrons is a completely different story. Here even ̅ the matrix elements entering the simplest decays, the two body decays like , cannot be calculated in QCD reliably at present. For this reason approximative schemes for these decays can be found in the literature. One of such schemes, the factorization scheme for matrix elements has been popular for some time among experimentalists and phenomenologists. Factorization is the effective approximation to estimate the amplitude of pseudo-scalar decays. The law of factorization is reducing the hadronic matrix elements of four-quark operators to products of current matrix elements. In this article, we .
