Exclusive radiative decays of Upsilon in SCET

Nov, 2004
16 pages
Published in:
  • Phys.Rev.D 71 (2005) 074002
e-Print:
Report number:
  • CALT-68-2530

Citations per year

200520092013201720215021
Abstract:
We study exclusive radiative decays of the Υ\Upsilon using soft-collinear effective theory and non-relativistic QCD. In contrast to inclusive radiative decays at the endpoint we find that color-octet contributions are power suppressed in exclusive decays, and can safely be neglected, greatly simplifying the analysis. We determine the complete set of Lorentz structures that can appear in the SCET Wilson coefficients and match onto them using results from a previous calculation. We run these coefficients from the scale \mups to the scale Λ1GeV\Lambda \sim 1 \textrm{GeV}, thereby summing large logarithms. Finally we use our results to predict the ratio of branching fractions B(Υγf2)/B(J/ψγf2)B(\Upsilon \to \gamma f_2)/B(J/\psi \to \gamma f_2), B(J/ψγf2)/B(ψγf2)B(J/\psi \to \gamma f_2)/B(\psi' \to \gamma f_2), and the partial rate for Υγππ\Upsilon \to \gamma \pi \pi.
  • 13.25.Gv
  • upsilon mesons: radiative decay
  • decay: exclusive reaction
  • upsilon mesons: branching ratio
  • upsilon mesons: width
  • quantum chromodynamics: nonrelativistic
  • soft collinear effective theory
  • color: octet
  • color: singlet
  • symmetry: Lorentz