Measurements of branching fractions of leptonic and hadronic $ D_s^{+} $ meson decays and extraction of the $ D_s^{+} $ meson decay constant

• Published in: The journal of high energy physics 2013-09, Vol.2013 (9), Article 139
• Main Authors: Zupanc, A., Adachi, I., Aihara, H., Arinstein, K., Asner, D. M., Aushev, T., Bakich, A. M., Bala, A., Bhuyan, B., Bonvicini, G., Bozek, A., Bračko, M., Brodzicka, J., Browder, T. E., Chang, M.-C., Chang, P., Chekelian, V., Chen, A., Chen, P., Cheon, B. G., Chilikin, K., Chistov, R., Cho, K., Chobanova, V., Choi, S.-K., Choi, Y., Cinabro, D., Dalseno, J., Danilov, M., Doležal, Z., Drásal, Z., Dutta, D., Eidelman, S., Farhat, H., Fast, J. E., Ferber, T., Gaur, V., Gabyshev, N., Ganguly, S., Gillard, R., Goh, Y. M., Golob, B., Haba, J., Hara, T., Hayasaka, K., Hayashii, H., Horii, Y., Hoshi, Y., Hou, W.-S., Hsiung, Y. B., Hyun, H. J., Iijima, T., Inami, K., Ishikawa, A., Itoh, R., Iwasaki, Y., Iwashita, T., Jaegle, I., Julius, T., Kato, E., Kawai, H., Kawasaki, T., Kichimi, H., Kiesling, C., Kim, D. Y., Kim, H. O., Kim, J. B., Kim, J. H., Kim, M. J., Kim, Y. J., Kinoshita, K., Klucar, J., Ko, B. R., Kodyš, P., Korpar, S., Križan, P., Krokovny, P., Kronenbitter, B., Kuhr, T., Kumita, T., Kuzmin, A., Kwon, Y.-J., Lange, J. S., Lee, S.-H., Li, J., Libby, J., Liu, Z. Q., Liventsev, D., Lukin, P., Miyata, H., Mizuk, R., Mohanty, G. B., Moll, A., Mussa, R., Nakano, E., Nakao, M., Nedelkovska, E., Nisar, N. K., Nishida, S., Nitoh, O.
• Format: Article
• Language: English
• Subjects: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP09(2013)139

We present measurements of absolute branching fractions of hadronic and lep-tonic $ D_s^{+} $ decays to K − K + π + , $ {{\overline{K}}^0} $ K + , ηπ + , μ + ν μ and τ + ν τ and report a search for the leptonic $ D_s^{+} $ → e + ν e decays. The results are obtained from a data sample of 913 fb −1 collected at or near the $ \varUpsilon $ (4 S ) and $ \varUpsilon $ (5 S ) resonances with the Belle detector at the KEKB asymmetric-energy e + e − collider. The branching fractions of hadronic decays are measured to be $ \begin{array}{*{20}{c}} {\mathcal{B}\left( {D_s^{+}\ \to\ {K^{-}}{K^{+}}{\pi^{+}}} \right) = \left( {5.06\pm 0.15\pm 0.21} \right)\%,} \\ {\mathcal{B}\left( {D_s^{+}\ \to\ {{\overline{K}}^0}{K^{+}}} \right) = \left( {2.95\pm 0.11\pm 0.09} \right)\%,} \\ {\mathcal{B}\left( {D_s^{+}\ \to\ \eta {\pi^{+}}} \right) = \left( {1.82\pm 0.14\pm 0.07} \right)\%,} \\ \end{array} $ where the first and second uncertainties are statistical and systematic, respectively. The branching fractions of leptonic decays are measured to be $ \begin{array}{*{20}{c}} {\mathcal{B}\left( {D_s^{+}\ \to\ {\mu^{+}}{\nu_{\mu }}} \right)=\left( {0.531\pm 0.028\pm 0.020} \right)\%,} \\ {\mathcal{B}\left( {D_s^{+}\to {\tau^{+}}{\nu_{\tau }}} \right)=\left( {5.70\pm 0.21_{-0.30}^{-0.31 }} \right)\%,} \\ \end{array} $ which are combined to determine the $ D_s^{+} $ meson decay constant $ {f_{{{D_s}}}=\left( {255.5\pm 4.2\pm 5.1} \right)\ \mathrm{MeV}. $ We find no significant signal for $ D_s^{+} $ → e + ν e decays and set an upper limit of $ \mathcal{B}\left( {D_s^{+}\ \to\ {e^{+}}{\nu_e}} \right) $ < 1 . 0(0 . 83) × 10 −4 at 95% (90%) confidence level.