Abstract
We show that the leading contributions to annihilation amplitudes in nonleptonic B → M 1 M 2 decays (where M 1 , 2 are charmless non-isosinglet mesons) of order α s ( m b ) Λ / m b are real and are determined by distribution functions that already occur in the lowest order factorization theorem [C.M. Arnesen, Z. Ligeti, I.Z. Rothstein and I.W. Stewart, hep-ph/0607001 ]. A complex nonperturbative parameter from annihilation first appears at O [ α s 2 ( Λ m b ) Λ / m b ] and real at lowest order. Thus, incalculable strong phases are suppressed in annihilation amplitudes, unless the α s ( Λ m b ) expansion breaks down. Modeling the distribution functions, we find that ( 11 ± 9 ) % and ( 15 ± 11 ) % of the absolute values of the measured B ¯ 0 → K − π + and B − → K − K 0 penguin amplitudes come from annihilation. This is consistent with the expected size of power corrections. LBNL–61096
Published Version
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