Possible complex annihilation and B{yields}K{pi} direct CP asymmetry

Journal Article · Fri Aug 01 04:00:00 EDT 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.78.034037· OSTI ID:21250641

Chay, Junegone ^[1]; Hsiangnan, Li ^[2]; Mishima, Satoshi ^[3]

---

1. Center for Theoretical Physics, Laboratory for Nuclear Science, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States) and Department of Physics, Korea University, Seoul 136-701 (Korea, Republic of)
2. Institute of Physics, Academia Sinica, Taipei, Taiwan 115 (China)
3. School of Natural Sciences, Institute for Advanced Study, Princeton, New Jersey 08540 (United States)

We point out that a strong phase from the penguin annihilation channel in B meson decays is sensitive to the treatment of subleading terms with physical b quark mass m{sub b}. In the limit of infinite heavy-quark mass, both the soft-collinear effective theory and the perturbative QCD approach based on the k{sub T} factorization theorem agree that the strong phase is suppressed. For finite heavy-quark mass, the two approaches predict different results, which are related to the treatment of subleading terms. This is illustrated by taking a toy model for soft-collinear effective theory, in which a small quantity, suppressed by O({lambda}/m{sub b}), with {lambda} being a hadronic scale, is kept in the denominators of internal particle propagators. This model can generate a sizable strong phase to accommodate the data of the B{sup 0}{yields}K{sup {+-}}{pi}{sup {+-}} direct CP asymmetry.

• OSTI ID: 21250641
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 3 Vol. 78; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANNIHILATION
ASYMMETRY
B MESONS
B NEUTRAL MESONS
B QUARKS
C QUARKS
FACTORIZATION
FIELD THEORIES
KAONS
KAONS PLUS
MASS
PARTICLE DECAY
PERTURBATION THEORY
PIONS
PIONS MINUS
PIONS PLUS
PROPAGATOR
QUANTUM CHROMODYNAMICS
T QUARKS