Nonet symmetry in {eta}, {eta}{sup '} and B{yields}K{eta},K{eta}{sup '} decays

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

DOI:https://doi.org/10.1103/PHYSREVD.77.014024· OSTI ID:21035707

Pham, T N ^[1]

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1. Centre de Physique Theorique, CNRS Ecole Polytechnique, 91128 Palaiseau, Cedex (France)

The nonet symmetry scheme seems to describe rather well the masses and {eta}-{eta}{sup '} mixing angle of the ground state pseudoscalar mesons. It is expected that nonet symmetry should also be valid for the matrix elements of the pseudoscalar density operators which play an important role in charmless two-body B decays with {eta} or {eta}{sup '} in the final state. Starting from the divergences of the SU(3) octet and singlet axial vector currents, we show that nonet symmetry for the pseudoscalar mass term implies nonet symmetry for the pseudoscalar density operators. In this nonet symmetry scheme, we find that the branching ratio B{yields}PP, PV with {eta} in the final state agrees well with data, while those with {eta}{sup '} are underestimated, but by increasing the B{yields}{eta}{sup '} form factor by 40%-50%, one could explain the tree-dominated B{sup -}{yields}{pi}{sup -}{eta}{sup '} and B{sup -}{yields}{rho}{sup -}{eta}{sup '} measured branching ratios. With this increased form factor and with only a moderate annihilation contribution, we are able to obtain 62x10{sup -6} for the penguin-dominated B{sup -}{yields}K{sup -}{eta}{sup '} branching ratios, quite close to the measured value. This supports the predicted value for the B{yields}{eta}{sup '} form factor in PQCD and light-cone sum rules approach. A possible increase by 15% of <0|si{gamma}{sub 5}s|ss> for {eta}{sub 0} would bring the predicted B{sup -}{yields}K{sup -}{eta}{sup '} branching ratio to 69.375x10{sup -6}, very close to experiment.

• OSTI ID: 21035707
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 1 Vol. 77; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AXIAL-VECTOR CURRENTS
B MINUS MESONS
BRANCHING RATIO
ETA MESONS
ETA PRIME-958 MESONS
FORM FACTORS
GROUND STATES
KAONS MINUS
LIGHT CONE
MATRIX ELEMENTS
PARTICLE DECAY
PIONS MINUS
RHO-770 MESONS
SU-3 GROUPS
SUM RULES
SYMMETRY
TWO-BODY PROBLEM
WEINBERG ANGLE