TY - JOUR
T1 - Testing the dynamics of B→ππ and constraints on α
AU - Grossman, Yuval
AU - Höcker, Andreas
AU - Ligeti, Zoltan
AU - Pirjol, Dan
PY - 2005/11/1
Y1 - 2005/11/1
N2 - In charmless nonleptonic B decays to ππ or ρρ, the "color allowed" and "color suppressed" tree amplitudes can be studied in a systematic expansion in αs(mb) and ΛQCD/mb. At leading order in this expansion their relative strong phase vanishes. The implications of this prediction are obscured by penguin contributions. We propose to use this prediction to test the relative importance of the various penguin amplitudes using experimental data. The present B→ππ data suggest that there are large corrections to the heavy quark limit, which can be due to power corrections to the tree amplitudes, large up-penguin amplitude, or enhanced weak annihilation. Because the penguin contributions are smaller, the heavy quark limit is more consistent with the B→ρρ data, and its implications may become important for the extraction of α from this mode in the future.
AB - In charmless nonleptonic B decays to ππ or ρρ, the "color allowed" and "color suppressed" tree amplitudes can be studied in a systematic expansion in αs(mb) and ΛQCD/mb. At leading order in this expansion their relative strong phase vanishes. The implications of this prediction are obscured by penguin contributions. We propose to use this prediction to test the relative importance of the various penguin amplitudes using experimental data. The present B→ππ data suggest that there are large corrections to the heavy quark limit, which can be due to power corrections to the tree amplitudes, large up-penguin amplitude, or enhanced weak annihilation. Because the penguin contributions are smaller, the heavy quark limit is more consistent with the B→ρρ data, and its implications may become important for the extraction of α from this mode in the future.
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U2 - 10.1103/PhysRevD.72.094033
DO - 10.1103/PhysRevD.72.094033
M3 - Article
AN - SCOPUS:29744441370
SN - 1550-7998
VL - 72
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
IS - 9
M1 - 094033
ER -