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Predicting the BK* form factors in light-cone QCD

M. Ahmady* and R. Campbell*

S. Lord

R. Sandapen

  • Department of Physics, Mount Allison University, Sackville, New Brunswick E46 1E6, Canada

  • Département de Mathématiques et Statistique, Université de Moncton, Moncton, New Brunswick E1A 3E9, Canada

  • Département de Physique et d’Astronomie, Université de Moncton, Moncton, New Brunswick E1A 3E9, Canada and Department of Physics, Mount Allison University, Sackville, New Brunswick E46 1E6, Canada

  • *mahmady@mta.ca; recampbell@mta.ca
  • esl8420@umoncton.ca
  • ruben.sandapen@umoncton.ca

Phys. Rev. D 89, 074021 – Published 8 April, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.074021

Abstract

We use QCD light-cone sum rules with holographic anti–de Sitter/Chromodynamics (AdS/QCD) distribution amplitudes for the K* meson in order to predict the full set of seven BK* transition form factors for intermediate-to-high recoil of the vector meson. We provide simple parametrizations for the form factors that fit our AdS/QCD predictions. We also provide parametrizations that fit both our AdS/QCD predictions and the most recent lattice data for low recoil. We use our form factors to predict the differential and total branching fraction of the rare dileptonic decay, BK*μ+μ, which we compare to the recent LHCb data.

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