Gluonic penguin contribution to \(B \rightarrow \pi \pi\) decays
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We use the light-cone sum rule technique to calculate the contribution of the gluonic penguin operator O 8g to the decay of the B-meson to two pions. Leading-order perturbative and non-perturbative corrections are included, corresponding to hard and soft exchanged gluons, respectively. While the overall contribution of this operator to the decay is small as expected before, we find that the so-called soft-gluon part of this contribution is of the order of the hard-gluon one. This implies that the inclusion of soft gluons in the calculation of \(B \rightarrow \pi \pi\) matrix elements may be important.
KeywordsMatrix Element Soft Gluon Rule Technique Penguin Contribution Penguin Operator
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