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Measurement of $B (D_{s}^{+} \to l^{+} ν)$ and the decay constant $f_{D_{S}^{+}}$

T. K. Pedlar¹, D. Cronin-Hennessy², K. Y. Gao², J. Hietala², Y. Kubota², T. Klein², B. W. Lang², R. Poling², A. W. Scott² et al. (CLEO Collaboration)

A. W. Scott², A. Smith², P. Zweber², S. Dobbs³, Z. Metreveli³, K. K. Seth³, A. Tomaradze³, J. Ernst⁴, K. M. Ecklund⁵, H. Severini⁶, W. Love⁷, V. Savinov⁷, O. Aquines⁸, A. Lopez⁸, S. Mehrabyan⁸, H. Mendez⁸, J. Ramirez⁸, G. S. Huang⁹, D. H. Miller⁹, V. Pavlunin⁹, B. Sanghi⁹, I. P. J. Shipsey⁹, B. Xin⁹, G. S. Adams¹⁰, M. Anderson¹⁰, J. P. Cummings¹⁰, I. Danko¹⁰, D. Hu¹⁰, B. Moziak¹⁰, J. Napolitano¹⁰, Q. He¹¹, J. Insler¹¹, H. Muramatsu¹¹, C. S. Park¹¹, E. H. Thorndike¹¹, F. Yang¹¹, M. Artuso¹², S. Blusk¹², J. Butt¹², S. Khalil¹², J. Li¹², N. Menaa¹², R. Mountain¹², S. Nisar¹², K. Randrianarivony¹², R. Sia¹², T. Skwarnicki¹², S. Stone¹², J. C. Wang¹², G. Bonvicini¹³, D. Cinabro¹³, M. Dubrovin¹³, A. Lincoln¹³, D. M. Asner¹⁴, K. W. Edwards¹⁴, P. Naik¹⁴, R. A. Briere¹⁵, T. Ferguson¹⁵, G. Tatishvili¹⁵, H. Vogel¹⁵, M. E. Watkins¹⁵, J. L. Rosner¹⁶, N. E. Adam¹⁷, J. P. Alexander¹⁷, D. G. Cassel¹⁷, J. E. Duboscq¹⁷, R. Ehrlich¹⁷, L. Fields¹⁷, L. Gibbons¹⁷, R. Gray¹⁷, S. W. Gray¹⁷, D. L. Hartill¹⁷, B. K. Heltsley¹⁷, D. Hertz¹⁷, C. D. Jones¹⁷, J. Kandaswamy¹⁷, D. L. Kreinick¹⁷, V. E. Kuznetsov¹⁷, H. Mahlke-Krüger¹⁷, D. Mohapatra¹⁷, P. U. E. Onyisi¹⁷, J. R. Patterson¹⁷, D. Peterson¹⁷, J. Pivarski¹⁷, D. Riley¹⁷, A. Ryd¹⁷, A. J. Sadoff¹⁷, H. Schwarthoff¹⁷, X. Shi¹⁷, S. Stroiney¹⁷, W. M. Sun¹⁷, T. Wilksen¹⁷, S. B. Athar¹⁸, R. Patel¹⁸, J. Yelton¹⁸, P. Rubin¹⁹, C. Cawlfield²⁰, B. I. Eisenstein²⁰, I. Karliner²⁰, D. Kim²⁰, N. Lowrey²⁰, M. Selen²⁰, E. J. White²⁰, J. Wiss²⁰, R. E. Mitchell²¹, M. R. Shepherd²¹, and D. Besson²² (CLEO Collaboration)

¹Luther College, Decorah, Iowa 52101, USA
²University of Minnesota, Minneapolis, Minnesota 55455, USA
³Northwestern University, Evanston, Illinois 60208, USA
⁴State University of New York at Albany, Albany, New York 12222, USA
⁵State University of New York at Buffalo, Buffalo, New York 14260, USA
⁶University of Oklahoma, Norman, Oklahoma 73019, USA
⁷University of Pittsburgh, Pittsburgh, Pennsylvania 15260, USA
⁸University of Puerto Rico, Mayaguez, Puerto Rico 00681
⁹Purdue University, West Lafayette, Indiana 47907, USA
¹⁰Rensselaer Polytechnic Institute, Troy, New York 12180, USA
¹¹University of Rochester, Rochester, New York 14627, USA
¹²Syracuse University, Syracuse, New York 13244, USA
¹³Wayne State University, Detroit, Michigan 48202, USA
¹⁴Carleton University, Ottawa, Ontario, Canada K1S 5B6
¹⁵Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, USA
¹⁶Enrico Fermi Institute, University of Chicago, Chicago, Illinois 60637, USA
¹⁷Cornell University, Ithaca, New York 14853, USA
¹⁸University of Florida, Gainesville, Florida 32611, USA
¹⁹George Mason University, Fairfax, Virginia 22030, USA
²⁰University of Illinois, Urbana-Champaign, Illinois 61801, USA
²¹Indiana University, Bloomington, Indiana 47405, USA
²²University of Kansas, Lawrence, Kansas 66045, USA

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Phys. Rev. D 76, 072002 – Published 8 October, 2007

DOI: https://doi.org/10.1103/PhysRevD.76.072002

Abstract

We examine $e^{+} e^{-} \to D_{s}^{-} D_{s}^{* +}$ and $D_{s}^{* -} D_{s}^{+}$ interactions at 4170 MeV using the CLEO-c detector in order to measure the decay constant $f_{D_{s}^{+}}$ . We use the $D_{s}^{+} \to ℓ^{+} ν$ channel, where the $ℓ^{+}$ designates either a $μ^{+}$ or a $τ^{+}$ , when the $τ^{+} \to π^{+} \bar{ν}$ . Analyzing both modes independently, we determine $B (D_{s}^{+} \to μ^{+} ν) = (0.594 \pm 0.066 \pm 0.031) %$ , and $B (D_{s}^{+} \to τ^{+} ν) = (8.0 \pm 1.3 \pm 0.4) %$ . We also analyze them simultaneously to find an effective value of $B^{eff} (D_{s}^{+} \to μ^{+} ν) = (0.638 \pm 0.059 \pm 0.033) %$ and extract $f_{D_{s}^{+}} = 274 \pm 13 \pm 7 MeV$ . Combining with our previous determination of $B (D^{+} \to μ^{+} ν)$ , we also find the ratio $f_{D_{s}^{+}} / f_{D^{+}} = 1.23 \pm 0.11 \pm 0.04$ . We compare to current theoretical estimates. Finally, we find $B (D_{s}^{+} \to e^{+} ν) < 1.3 \times 10^{- 4}$ at 90% confidence level.

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Measurement of $B (D_{s}^{+} \to l^{+} ν)$ and the decay constant $f_{D_{S}^{+}}$

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Measurement of $B (D_{s}^{+} \to l^{+} ν)$ and the decay constant $f_{D_{S}^{+}}$