Hadronic charmless B decays B{yields}AP
- Institute of Physics, Academia Sinica, Taipei, Taiwan 115 (China)
- Department of Physics, Chung Yuan Christian University, Chung-Li, Taiwan 320 (China)
The two-body hadronic decays of B mesons into pseudoscalar and axial-vector mesons are studied within the framework of QCD factorization. The light cone distribution amplitudes (LCDAs) for {sup 3}P{sub 1} and {sup 1}P{sub 1} axial-vector mesons have been evaluated using the QCD sum rule method. Owing to the G-parity, the chiral-even two-parton light cone distribution amplitudes of the {sup 3}P{sub 1} ({sup 1}P{sub 1}) mesons are symmetric (antisymmetric) under the exchange of quark and antiquark momentum fractions in the SU(3) limit. For chiral-odd LCDAs, it is the other way around. The main results are the following: (i) The predicted rates for a{sub 1}{sup {+-}}(1260){pi}{sup {+-}}, b{sub 1}{sup {+-}}(1235){pi}{sup {+-}}, b{sub 1}{sup 0}(1235){pi}{sup -}, a{sub 1}{sup +}K{sup -}, and b{sub 1}{sup +}K{sup -} modes are in good agreement with the data. However, the naively expected ratios B(B{sup -}{yields}a{sub 1}{sup 0}{pi}{sup -})/B(B{sup 0}{yields}a{sub 1}{sup +}{pi}{sup -}) < or approx. 1, B(B{sup -}{yields}a{sub 1}{sup -}{pi}{sup 0})/B(B{sup 0}{yields}a{sub 1}{sup -}{pi}{sup +}){approx}(1/2), and B(B{sup -}{yields}b{sub 1}{sup 0}K{sup -})/B(B{sup 0}{yields}b{sub 1}{sup +}K{sup -}){approx}(1/2) are not borne out by experiment. This should be clarified by the improved measurements of these decays. (ii) Since the B{yields}b{sub 1}K decays receive sizable annihilation contributions, their rates are sensitive to the interference between penguin and annihilation terms. The measurement of B(B{sup 0}{yields}b{sub 1}{sup +}K{sup -}) implies a destructive interference which in turn indicates that the form factors for B{yields}b{sub 1} and B{yields}a{sub 1} transitions are of opposite signs. (iii) Sizable power corrections such as weak annihilation are needed to account for the observed rates of the penguin-dominated modes K{sub 1}{sup -}(1270){pi}{sup +} and K{sub 1}{sup -}(1400){pi}{sup +}. (iv) The decays B{yields}K{sub 1}K with K{sub 1}=K{sub 1}(1270), K{sub 1}(1400) are in general quite suppressed, of order 10{sup -7}-10{sup -8}, except for B{sup 0}{yields}K{sub 1}{sup 0}(1270)K{sup 0} which can have a branching ratio of order 2.3x10{sup -6}. The decay modes K{sub 1}{sup -}K{sup +} and K{sub 1}{sup +}K{sup -} are of particular interest as they proceed only through weak annihilation. (v) The mixing-induced parameter S is predicted to be negative in the decays B{sup 0}{yields}a{sub 1}{sup {+-}}{pi}{sup {+-}}, while it is positive experimentally. This may call for a larger unitarity angle {gamma} > or approx. 80 deg. (vi) Branching ratios for the decays B{yields}f{sub 1}{pi}, f{sub 1}K, h{sub 1}{pi} and h{sub 1}K with f{sub 1}=f{sub 1}(1285), f{sub 1}(1420) and h{sub 1}=h{sub 1}(1170), h{sub 1}(1380) are generally of order 10{sup -6} except for the color-suppressed modes f{sub 1}{pi}{sup 0} and h{sub 1}{pi}{sup 0} which are suppressed by 1 to 2 orders of magnitude. Measurements of the ratios B(B{sup -}{yields}h{sub 1}(1380){pi}{sup -})/B(B{sup -}{yields}h{sub 1}(1170){pi}{sup -}) and B(B{yields}f{sub 1}(1420)K)/B(B{yields}f{sub 1}(1285)K) will help determine the mixing angles {theta}{sub {sup 1}P{sub 1}} and {theta}{sub {sup 3}P{sub 1}}, respectively.
- OSTI ID:
- 21023930
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 76, Issue 11; Other Information: DOI: 10.1103/PhysRevD.76.114020; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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BRANCHING RATIO
CHIRALITY
COLOR MODEL
CORRECTIONS
F1-1285 MESONS
FACTORIZATION
FORM FACTORS
H1-1170 MESONS
HADRONIC PARTICLE DECAY
K1-1270 MESONS
K1-1400 MESONS
KAONS NEUTRAL
LIGHT CONE
PIONS MINUS
PIONS NEUTRAL
PIONS PLUS
QUANTUM CHROMODYNAMICS
SUM RULES
UNITARITY
WEINBERG ANGLE