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The Scalar $B\to π$ and $D \to π$ Form Factors in QCD

A. Khodjamirian·R. Rückl·C. W. Winhart
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Abstract

QCD sum rules on the light-cone are derived for the sum $f^+ + f^-$ of the $B\to π$ and $D\to π$ 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 $B \to π\barτν_τ$ 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.

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A. Khodjamirian, R. Rückl, C. W. Winhart. 1998-02-25. The Scalar $B\to π$ and $D \to π$ Form Factors in QCD. https://doi.org/10.1103/physrevd.58.054013

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