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The Scalar B ---> pi and D ---> pi form-factors in QCD

Feb, 1998
19 pages
Published in:
  • Phys.Rev.D 58 (1998) 054013
e-Print:
DOI:
Report number:
  • CERN-TH-98-58,
  • WUE-ITP-98-006
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Abstract:
QCD sum rules on the light-cone are derived for the sum f++f−f^+ + f^- of the B→πB\to \pi and D→πD\to \pi form factors taking into account contributions up to twist four. Combining the results with the corresponding f+f^+ form factors calculated previously by the same method, we obtain the scalar form factors f0f^0. Our sum rule predictions are compared with lattice results, current-algebra constraints, and quark-model calculations. Furthermore, we calculate decay distributions and the integrated width for the semileptonic decay B→πτˉντB \to \pi \bar{\tau}\nu_\tau which is sensitive to f0f^0. Finally, the dependence of the sum rules on the heavy quark mass and the asymptotic scaling laws are discussed.
Note:
  • 19 pages, 10 figures, Latex, epsfig Report-no: CERN-TH/98-58, WUE-ITP-98-006
  • B: semileptonic decay
  • D: semileptonic decay
  • pi: production
  • form factor: semileptonic decay
  • quantum chromodynamics
  • sum rule: light cone
  • effect: higher-twist
  • form factor: scalar
  • lattice field theory
  • current algebra
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