Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1998-02-25
Phys.Rev. D58 (1998) 054013
Physics
High Energy Physics
High Energy Physics - Phenomenology
19 pages, 10 figures, Latex, epsfig
Scientific paper
10.1103/PhysRevD.58.054013
QCD sum rules on the light-cone are derived for the sum $f^+ + f^-$ of the $B\to \pi$ and $D\to \pi$ form factors taking into account contributions up to twist four. Combining the results with the corresponding $f^+$ form factors calculated previously by the same method, we obtain the scalar form factors $f^0$. 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 $B \to \pi \bar{\tau}\nu_\tau$ which is sensitive to $f^0$. Finally, the dependence of the sum rules on the heavy quark mass and the asymptotic scaling laws are discussed.
Khodjamirian Alexander
Rückl Reinhold
Winhart C. W.
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