Branching ratios and polarization in B{yields}VV,VA,AA decays

Journal Article · Sat Nov 01 00:00:00 EDT 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.78.094001· OSTI ID:21254606

Cheng, H -Y ^[1]; Yang, K -C ^[2]

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1. Institute of Physics, Academia Sinica, Taipei, Taiwan 115 (China)
2. Department of Physics, Chung Yuan Christian University, Chung-Li, Taiwan 320 (China)

We present a detailed study of charmless two-body B decays into final states involving two vector mesons (VV) or two axial-vector mesons (AA) or one vector and one axial-vector meson (VA), within the framework of QCD factorization, where A is either a {sup 3}P{sub 1} or {sup 1}P{sub 1} axial-vector meson. The main results are as follows. (i) In the presence of next-to-leading-order nonfactorizable corrections, effective Wilson coefficients a{sub i}{sup h} are helicity-dependent. For some penguin-dominated modes, the constructive (destructive) interference in the negative-helicity (longitudinal-helicity) amplitude of the B{yields}VV decay will render the former comparable to the latter and push up the transverse polarization. (ii) In QCD factorization, the transverse polarization fraction can be large for penguin-dominated charmless VV modes by allowing for sizable penguin-annihilation contributions. (iii) Using the measured K*{sup 0}{rho}{sup -} channel as an input, we predict the branching ratios and polarization fractions for other B{yields}K*{rho} decays. (iv) The smallness of the axial-vector decay constant of the {sup 1}P{sub 1} axial-vector meson can be tested by measuring various b{sub 1}{rho} modes to see if {gamma}(B{sup 0}{yields}b{sub 1}{sup -}{rho}{sup +})<<{gamma}(B{sup 0}{yields}b{sub 1}{sup +}{rho}{sup -}) and {gamma}(B{sup -}{yields}b{sub 1}{sup -}{rho}{sup 0})<<{gamma}(B{sup -}{yields}b{sub 1}{sup 0}{rho}{sup -}). (v) For the penguin-dominated modes a{sub 1}K* and b{sub 1}K*, it is found that the former are dominated by transverse polarization amplitudes, whereas the latter are governed by longitudinal polarization states. (vi) The rates of B{yields}K{sub 1}(1270)K* and K{sub 1}(1400)K* are generally very small. The decay modes K{sub 1}{sup -}K*{sup +} and K{sub 1}{sup +}K*{sup -} are of particular interest as they are the only AV modes which receive contributions solely from weak annihilation. (vii) For tree-dominated B{yields}AA decays, the a{sub 1}{sup +}a{sub 1}{sup -}, a{sub 1}{sup -}a{sub 1}{sup 0}, a{sub 1}{sup -}b{sub 1}{sup +}, a{sub 1}{sup -}b{sub 1}{sup 0}, b{sub 1}{sup +}{rho}{sup -} and b{sub 1}{sup 0}{rho}{sup -} modes have sizable branching ratios, of order (20-40)x10{sup -6}. (viii) There are many penguin-dominated B{yields}AA decays within the reach of B factories: K{sub 1}(1270)(a{sub 1},b{sub 1}{sup {+-}}), K{sub 1}(1400)(b{sub 1},a{sub 1}{sup {+-}}), K{sub 1}(1270)(f{sub 1}(1285),f{sub 1}(1420)) and K{sub 1}(1400)(f{sub 1}(1420),h{sub 1}(1170))

• OSTI ID: 21254606
• Journal Information: Physical Review. D, Particles Fields, Vol. 78, Issue 9; Other Information: DOI: 10.1103/PhysRevD.78.094001; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
ANNIHILATION
AXIAL VECTOR MESONS
B MESONS
BRANCHING RATIO
CORRECTIONS
F1-1285 MESONS
FACTORIZATION
H1-1170 MESONS
HELICITY
INTERFERENCE
K1-1270 MESONS
K1-1400 MESONS
KAONS
MESON FACTORIES
PARTICLE DECAY
POLARIZATION
QUANTUM CHROMODYNAMICS
TWO-BODY PROBLEM
VECTOR MESONS