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

Abstract

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.more » 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.« less

Authors:
 [1]
  1. Centre de Physique Theorique, CNRS Ecole Polytechnique, 91128 Palaiseau, Cedex (France)
Publication Date:
OSTI Identifier:
21035707
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 77; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevD.77.014024; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
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

Citation Formats

Pham, T N. Nonet symmetry in {eta}, {eta}{sup '} and B{yields}K{eta},K{eta}{sup '} decays. United States: N. p., 2008. Web. doi:10.1103/PHYSREVD.77.014024.
Pham, T N. Nonet symmetry in {eta}, {eta}{sup '} and B{yields}K{eta},K{eta}{sup '} decays. United States. https://doi.org/10.1103/PHYSREVD.77.014024
Pham, T N. Tue . "Nonet symmetry in {eta}, {eta}{sup '} and B{yields}K{eta},K{eta}{sup '} decays". United States. https://doi.org/10.1103/PHYSREVD.77.014024.
@article{osti_21035707,
title = {Nonet symmetry in {eta}, {eta}{sup '} and B{yields}K{eta},K{eta}{sup '} decays},
author = {Pham, T N},
abstractNote = {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.},
doi = {10.1103/PHYSREVD.77.014024},
url = {https://www.osti.gov/biblio/21035707}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 1,
volume = 77,
place = {United States},
year = {2008},
month = {1}
}