Annihilation in Charmless Nonleptonic B Decays

Journal Article · Tue Aug 08 04:00:00 EDT 2006 · Nuclear Physics B Proceedings Supplements

OSTI ID:901515

Ligeti, Zoltan

We show that the leading contributions to annihilationamplitudes in nonleptonic B\to M_1 M_2 decays (where M_1,2 are charmlessnon-isosinglet mesons) of order \alpha_s(m_b)\, \Lambda/m_b are real andare determined by distribution functions that already occur in the lowestorder factorization theorem~;\cite{Arnesen:2006vb}. A complexnonperturbative parameter from annihilation first appears at \cal O[\alpha_s2(\sqrt\Lambda m_b) \Lambda/m_b]. "Chirally enhanced"contributions are also factorizable and real at lowest order. Thus,incalculable strong phases are suppressed in annihilation amplitudes,unless the \alpha_s(\sqrt\Lambda m_b) expansion breaks down. Modeling thedistribution functions, we find that (11\pm 9)\ percent and (15\pm 11)\percent of the absolute values of the measured \bar B0\to K^-\pi^+ andB^-\to K^-K0 penguin amplitudes come from annihilation. This isconsistent with the expected size of power corrections.

• Research Organization: Ernest Orlando Lawrence Berkeley NationalLaboratory, Berkeley, CA (US)
• Sponsoring Organization: USDOE Director. Office of Science. Office of AdvancedScientific Computing Research. Office of High Energy Physics
• DOE Contract Number: AC02-05CH11231
• OSTI ID: 901515
• Report Number(s): LBNL--61096; BnR: KA1401020
• Journal Information: Nuclear Physics B Proceedings Supplements, Journal Name: Nuclear Physics B Proceedings Supplements Vol. 163
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
ANNIHILATION
DISTRIBUTION FUNCTIONS
FACTORIZATION
MESONS
SIMULATION