Annihilation effects in $B \to ππ$ from QCD Light-Cone Sum Rules

Details Annihilation effects in $B \to ππ$ from QCD Light-Cone Sum Rules Annihilation effects in $B \to ππ$ from QCD Light-Cone Sum Rules

2005-09-06

arxiv.org/abs/hep-ph/0509049v2

Phys.Rev. D72 (2005) 094012

Physics

High Energy Physics

High Energy Physics - Phenomenology

two references added, a few misprints corrected, 38 pages, 29 figures

Scientific paper

10.1103/PhysRevD.72.094012

Using the method of QCD light-cone sum rules, we calculate the $B \to \pi\pi$ hadronic matrix elements with annihilation topology. We obtain a finite result, including the related strong phase. Numerically, the annihilation effects in $B\to \pi\pi$ turn out to be small with respect to the factorizable emission mechanism. Our predictions, together with the earlier sum rule estimates of emission and penguin contributions, are used for the phenomenological analysis of $B\to \pi\pi$ channels. We predict a $\Delta I=1/2$ transition amplitude which significantly differs from this amplitude extracted from the current data.

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