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

Chay, Junegone; Li, Hsiang-nan; Mishima, Satoshi

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

Authors

Chay, Junegone

Li, Hsiang-nan

Mishima, Satoshi

Description

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.
8 pages, 1 figure, added references