Power corrections in charmless nonleptonic B decays: Annihilation is factorizable and real

Journal Article · Sat Mar 01 04:00:00 EST 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.77.054006· OSTI ID:21249703

Arnesen, Christian M; Stewart, Iain W ^[1]; Ligeti, Zoltan ^[1]; Rothstein, Ira Z ^[2]

---

1. Center for Theoretical Physics, Laboratory for Nuclear Science, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)
2. Department of Physics, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213 (United States)

We classify {lambda}{sub QCD}/m{sub b} power corrections to nonleptonic B{yields}M{sub 1}M{sub 2} decays, where M{sub 1,2} are charmless nonisosinglet mesons. Using recent developments in soft-collinear effective theory, we prove that the leading contributions to annihilation amplitudes of order {alpha}{sub s}(m{sub b}){lambda}{sub QCD}/m{sub b} are real. The leading annihilation amplitudes depend on twist-2 and twist-3 three-parton distributions. A complex nonperturbative parameter from annihilation first appears at O[{alpha}{sub s}{sup 2}({radical}({lambda}m{sub b})){lambda}{sub QCD}/m{sub b}]. 'Chirally enhanced' contributions are also factorizable and real at lowest order. Thus, incalculable strong phases are suppressed in annihilation amplitudes, unless the {alpha}{sub s}({radical}({lambda}m{sub b})) expansion breaks down. Modeling the distribution functions, we find that (11{+-}9)% and (15{+-}11)% of the absolute values of the measured B{sup 0}{yields}K{sup -}{pi}{sup +} and B{sup -}{yields}K{sup -}K{sup 0} penguin amplitudes come from annihilation. This is consistent with the expected size of power corrections.

• OSTI ID: 21249703
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 5 Vol. 77; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
ANNIHILATION
B MESONS
CHARM PARTICLES
CORRECTIONS
DISTRIBUTION
DISTRIBUTION FUNCTIONS
KAONS MINUS
KAONS NEUTRAL
PARTICLE DECAY
PIONS PLUS
SIMULATION