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Dispersive analysis of KLμ3 and KLe3 scalar and vector form factors using KTeV data

E. Abouzaid4, M. Arenton11, A. R. Barker5,*, L. Bellantoni7, E. Blucher4, G. J. Bock7, E. Cheu1, R. Coleman7, M. D. Corcoran9 et al. (KTeV Collaboration)

Véronique Bernard1,‡, Micaela Oertel2,§, Emilie Passemar3,∥, and Jan Stern1,*

M. D. Corcoran9, B. Cox11, A. R. Erwin12, C. O. Escobar3, A. Glazov4, R. A. Gomes3, P. Gouffon10, Y. B. Hsiung7, D. A. Jensen7, R. Kessler4, K. Kotera8, A. Ledovskoy11, P. L. McBride7, E. Monnier4,†, H. Nguyen7, R. Niclasen5, D. G. Phillips, II11, E. J. Ramberg7, R. E. Ray7, M. Ronquest11, E. Santos10, W. Slater2, D. Smith11, N. Solomey4, E. C. Swallow4,6, P. A. Toale5, R. Tschirhart7, Y. W. Wah4, J. Wang1, H. B. White7, J. Whitmore7, M. J. Wilking5, R. Winston4, E. T. Worcester4, T. Yamanaka8, E. D. Zimmerman5, and R. F. Zukanovich10 (KTeV Collaboration)

  • 1University of Arizona, Tucson, Arizona 85721, USA
  • 2University of California at Los Angeles, Los Angeles, California 90095, USA
  • 3Universidade Estadual de Campinas, Campinas, Brazil 13083-970
  • 4The Enrico Fermi Institute, The University of Chicago, Chicago, Illinois 60637, USA
  • 5University of Colorado, Boulder, Colorado 80309, USA
  • 6Elmhurst College, Elmhurst, Illinois 60126, USA
  • 7Fermi National Accelerator Laboratory, Batavia, Illinois 60510, USA
  • 8Osaka University, Toyonaka, Osaka 560-0043 Japan
  • 9Rice University, Houston, Texas 77005, USA
  • 10Universidade de São Paulo, São Paulo, Brazil 05315-970
  • 11The Department of Physics and Institute of Nuclear and Particle Physics, University of Virginia, Charlottesville, Virginia 22901, USA
  • 12University of Wisconsin, Madison, Wisconsin 53706, USA

  • 1Groupe de Physique Théorique, IPN, CNRS/Université de Paris Sud-XI, F-91406 Orsay, France
  • 2LUTH, Observatoire de Paris, CNRS, Université Paris Diderot, 5 place Jules Janssen, 92195 Meudon, France
  • 3Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, University of Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland

  • *Deceased.
  • †Permanent address: C.P.P. Marseille/C.N.R.S., France.
  • ‡bernard@ipno.in2p3.fr
  • §micaela.oertel@obspm.fr
  • ∥Present address: IFIC, Universitat de València-CSIC, Apartado Correus 22085, E-46071 València, Spain. passemar@itp.unibe.ch
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Phys. Rev. D 81, 052001 – Published 4 March, 2010

DOI: https://doi.org/10.1103/PhysRevD.81.052001

Abstract

Using the published KTeV samples of KL→π±e∓ν and KL→π±μ∓ν decays, we perform a reanalysis of the scalar and vector form factors based on the dispersive parametrization. We obtain phase-space integrals IKe=0.154 46±0.000 25 and IKμ=0.102 19±0.000 25. For the scalar form factor parametrization, the only free parameter is the normalized form factor value at the Callan-Treiman point (C); our best-fit results in lnC=0.1915±0.0122. We also study the sensitivity of C to different parametrizations of the vector form factor. The results for the phase-space integrals and C are then used to make tests of the standard model. Finally, we compare our results with lattice QCD calculations of FK/Fπ and f+(0).

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  48. Note that for illustration purposes we only show a portion of this line as well as of the black solid line corresponding to the fits we have made. They of course go on in both directions.

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Phys. Rev. D 81, 052001– Published 4 March, 2010
  • Received 2 June 2009

© 2010 American Physical Society

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