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Study of the semileptonic charm decays $D^{0} \to π^{-} e^{+} ν_{e}$ , $D^{+} \to π^{0} e^{+} ν_{e}$ , $D^{0} \to K^{-} e^{+} ν_{e}$ , and $D^{+} \to {\bar{K}}^{0} e^{+} ν_{e}$

S. Dobbs¹, Z. Metreveli¹, K. K. Seth¹, A. Tomaradze¹, J. Ernst², H. Severini³, S. A. Dytman⁴, W. Love⁴, V. Savinov⁴ et al. (CLEO Collaboration)

V. Savinov⁴, O. Aquines⁵, Z. Li⁵, A. Lopez⁵, S. Mehrabyan⁵, H. Mendez⁵, J. Ramirez⁵, G. S. Huang⁶, D. H. Miller⁶, V. Pavlunin⁶, B. Sanghi⁶, I. P. J. Shipsey⁶, B. Xin⁶, G. S. Adams⁷, M. Anderson⁷, J. P. Cummings⁷, I. Danko⁷, J. Napolitano⁷, Q. He⁸, J. Insler⁸, H. Muramatsu⁸, C. S. Park⁸, E. H. Thorndike⁸, F. Yang⁸, T. E. Coan⁹, Y. S. Gao⁹, F. Liu⁹, M. Artuso¹⁰, S. Blusk¹⁰, J. Butt¹⁰, J. Li¹⁰, N. Menaa¹⁰, R. Mountain¹⁰, S. Nisar¹⁰, K. Randrianarivony¹⁰, R. Redjimi¹⁰, R. Sia¹⁰, T. Skwarnicki¹⁰, S. Stone¹⁰, J. C. Wang¹⁰, K. Zhang¹⁰, S. E. Csorna¹¹, G. Bonvicini¹², D. Cinabro¹², M. Dubrovin¹², A. Lincoln¹², D. M. Asner¹³, K. W. Edwards¹³, R. A. Briere¹⁴, I. Brock¹⁴, J. Chen¹⁴, T. Ferguson¹⁴, G. Tatishvili¹⁴, H. Vogel¹⁴, M. E. Watkins¹⁴, J. L. Rosner¹⁵, N. E. Adam¹⁶, J. P. Alexander¹⁶, K. Berkelman¹⁶, D. G. Cassel¹⁶, J. E. Duboscq¹⁶, K. M. Ecklund¹⁶, R. Ehrlich¹⁶, L. Fields¹⁶, L. Gibbons¹⁶, R. Gray¹⁶, S. W. Gray¹⁶, D. L. Hartill¹⁶, B. K. Heltsley¹⁶, D. Hertz¹⁶, C. D. Jones¹⁶, J. Kandaswamy¹⁶, D. L. Kreinick¹⁶, V. E. Kuznetsov¹⁶, H. Mahlke-Krüger¹⁶, P. U. E. Onyisi¹⁶, J. R. Patterson¹⁶, D. Peterson¹⁶, J. Pivarski¹⁶, D. Riley¹⁶, A. Ryd¹⁶, A. J. Sadoff¹⁶, H. Schwarthoff¹⁶, X. Shi¹⁶, S. Stroiney¹⁶, W. M. Sun¹⁶, T. Wilksen¹⁶, M. Weinberger¹⁶, S. B. Athar¹⁷, R. Patel¹⁷, V. Potlia¹⁷, J. Yelton¹⁷, P. Rubin¹⁸, C. Cawlfield¹⁹, B. I. Eisenstein¹⁹, I. Karliner¹⁹, D. Kim¹⁹, N. Lowrey¹⁹, P. Naik¹⁹, C. Sedlack¹⁹, M. Selen¹⁹, E. J. White¹⁹, J. Wiss¹⁹, M. R. Shepherd²⁰, D. Besson²¹, T. K. Pedlar²², D. Cronin-Hennessy²³, K. Y. Gao²³, D. T. Gong²³, J. Hietala²³, Y. Kubota²³, T. Klein²³, B. W. Lang²³, R. Poling²³, A. W. Scott²³, A. Smith²³, and P. Zweber²³ (CLEO Collaboration)

¹Northwestern University, Evanston, Illinois 60208, USA
²State University of New York at Albany, Albany, New York 12222, USA
³University of Oklahoma, Norman, Oklahoma 73019, USA
⁴University of Pittsburgh, Pittsburgh, Pennsylvania 15260, USA
⁵University of Puerto Rico, Mayaguez, Puerto Rico 00681
⁶Purdue University, West Lafayette, Indiana 47907, USA
⁷Rensselaer Polytechnic Institute, Troy, New York 12180, USA
⁸University of Rochester, Rochester, New York 14627, USA
⁹Southern Methodist University, Dallas, Texas 75275, USA
¹⁰Syracuse University, Syracuse, New York 13244, USA
¹¹Vanderbilt University, Nashville, Tennessee 37235, USA
¹²Wayne State University, Detroit, Michigan 48202, USA
¹³Carleton University, Ottawa, Ontario, Canada K1S 5B6
¹⁴Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, USA
¹⁵Enrico Fermi Institute, University of Chicago, Chicago, Illinois 60637, USA
¹⁶Cornell University, Ithaca, New York 14853, USA
¹⁷University of Florida, Gainesville, Florida 32611, USA
¹⁸George Mason University, Fairfax, Virginia 22030, USA
¹⁹University of Illinois, Urbana-Champaign, Illinois 61801, USA
²⁰Indiana University, Bloomington, Indiana 47405, USA
²¹University of Kansas, Lawrence, Kansas 66045, USA
²²Luther College, Decorah, Iowa 52101, USA
²³University of Minnesota, Minneapolis, Minnesota 55455, USA

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Phys. Rev. D 77, 112005 – Published 20 June, 2008

DOI: https://doi.org/10.1103/PhysRevD.77.112005

Abstract

Using a sample of 1.8 million $D \bar{D}$ mesons collected at the $ψ (3770)$ with the CLEO-c detector, we study the semileptonic decays $D^{0} \to π^{-} e^{+} ν_{e}$ , $D^{+} \to π^{0} e^{+} ν_{e}$ , $D^{0} \to K^{-} e^{+} ν_{e}$ , and $D^{+} \to {\bar{K}}^{0} e^{+} ν_{e}$ . For the total branching fractions we find $B (D^{0} \to π^{-} e^{+} ν_{e}) = 0.299 (11) (9) %$ , $B (D^{+} \to π^{0} e^{+} ν_{e}) = 0.373 (22) (13) %$ , $B (D^{0} \to K^{-} e^{+} ν_{e}) = 3.56 (3) (9) %$ , and $B (D^{+} \to {\bar{K}}^{0} e^{+} ν_{e}) = 8.53 (13) (23) %$ , where the first error is statistical and the second systematic. In addition, form factors are studied through fits to the partial branching fractions obtained in five $q^{2}$ ranges. By combining our results with recent unquenched lattice calculations, we obtain $| V_{c d} | = 0.217 (9) (4) (23)$ and $| V_{c s} | = 1.015 (10) (11) (106)$ , where the final error is theoretical.

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Study of the semileptonic charm decays $D^{0} \to π^{-} e^{+} ν_{e}$ , $D^{+} \to π^{0} e^{+} ν_{e}$ , $D^{0} \to K^{-} e^{+} ν_{e}$ , and $D^{+} \to {\bar{K}}^{0} e^{+} ν_{e}$

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Study of the semileptonic charm decays D0→π−e+νe, D+→π0e+νe, D0→K−e+νe, and D+→K¯0e+νe

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Study of the semileptonic charm decays $D^{0} \to π^{-} e^{+} ν_{e}$ , $D^{+} \to π^{0} e^{+} ν_{e}$ , $D^{0} \to K^{-} e^{+} ν_{e}$ , and $D^{+} \to {\bar{K}}^{0} e^{+} ν_{e}$