Possible complex annihilation and B -> K pi direct CP asymmetry

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Chay, Junegone
Li, Hsiang-nan
Mishima, Satoshi
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Abstract
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We point out that a sizable strong phase could be generated from the penguin annihilation in the soft-collinear effective theory for B meson decays. Keeping a small scale suppressed by O(Lambda/m_b), Lambda being a hadronic scale and m_b the b quark mass, in the denominators of internal particle propagators without expansion, the resultant strong phase can accommodate the data of the B^0 -> K^-+ pi^+- direct CP asymmetry. Our study reconciles the opposite conclusions on the real or complex penguin annihilation amplitude drawn in the soft-collinear effective theory and in the perturbative QCD approach based on k_T factorization theorem.
Comment: 8 pages, 1 figure, added references
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High Energy Physics - Phenomenology
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