The nonet symmetry scheme seems to describe rather well the masses and
\$\eta-\eta^\prime\$ mixing angle of the ground state pseudo-scalar mesons. It
is expected that nonet symmetry should also be valid for the matrix elements of
the pseudo-scalar densitty operators which play an important role in charmless
two-body B decays with \$\eta\$ or \$\eta^\prime\$ 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 pseudo-scalar mass term implies nonet symmetry
for the pseudo-scalar density operators. In this nonet symmetry scheme, we find
that the branching ratio \$BPP,PV\$, with \$\eta\$ in the final state agrees
well with data, while those with \$\eta'\$ are underestimated, but by increasing
the \$B\eta'\$ form factor by \$40-50\%\$, one could explain the tree-dominated
\$B^-\pi^-\eta'\$ and \$B^-\rho^-\eta'\$ measured branching ratios.
With this increased form factor and with only a moderate annihilation
contribution, we are able to obtain \$6210^-6\$ for the
penguin-dominated \$B^-K^-\eta'\$ branching ratios, quite close to the
measured value. This supports the predicted value for the \$B\eta'\$ form
factor in PQCD and light-cone sum rules approach. A possible increase by 15\% of
\$<0|s i\gamma\_5 s|ss>\$ for \$\eta\_0 \$ would bring the predicted
\$B^-K^-\eta'\$ branching ratio to \$69.37510^-6\$, very close to
experiment.
%0 Journal Article
%1 Pham2008Nonet
%A Pham, T. N.
%D 2008
%K eta
%T Nonet symmetry in \eta, \eta^\prime and BK\eta,K\eta^\prime decays
%U http://arxiv.org/abs/0710.2412
%X The nonet symmetry scheme seems to describe rather well the masses and
\$\eta-\eta^\prime\$ mixing angle of the ground state pseudo-scalar mesons. It
is expected that nonet symmetry should also be valid for the matrix elements of
the pseudo-scalar densitty operators which play an important role in charmless
two-body B decays with \$\eta\$ or \$\eta^\prime\$ 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 pseudo-scalar mass term implies nonet symmetry
for the pseudo-scalar density operators. In this nonet symmetry scheme, we find
that the branching ratio \$BPP,PV\$, with \$\eta\$ in the final state agrees
well with data, while those with \$\eta'\$ are underestimated, but by increasing
the \$B\eta'\$ form factor by \$40-50\%\$, one could explain the tree-dominated
\$B^-\pi^-\eta'\$ and \$B^-\rho^-\eta'\$ measured branching ratios.
With this increased form factor and with only a moderate annihilation
contribution, we are able to obtain \$6210^-6\$ for the
penguin-dominated \$B^-K^-\eta'\$ branching ratios, quite close to the
measured value. This supports the predicted value for the \$B\eta'\$ form
factor in PQCD and light-cone sum rules approach. A possible increase by 15\% of
\$<0|s i\gamma\_5 s|ss>\$ for \$\eta\_0 \$ would bring the predicted
\$B^-K^-\eta'\$ branching ratio to \$69.37510^-6\$, very close to
experiment.
@article{Pham2008Nonet,
abstract = {The nonet symmetry scheme seems to describe rather well the masses and
\$\eta-\eta^{\prime}\$ mixing angle of the ground state pseudo-scalar mesons. It
is expected that nonet symmetry should also be valid for the matrix elements of
the pseudo-scalar densitty operators which play an important role in charmless
two-body B decays with \$\eta\$ or \$\eta^{\prime}\$ 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 pseudo-scalar mass term implies nonet symmetry
for the pseudo-scalar density operators. In this nonet symmetry scheme, we find
that the branching ratio \$B\to PP,PV\$, with \$\eta\$ in the final state agrees
well with data, while those with \$\eta'\$ are underestimated, but by increasing
the \$B\to \eta'\$ form factor by \$40-50\%\$, one could explain the tree-dominated
\$B^{-}\to \pi^{-}\eta'\$ and \$B^{-}\to \rho^{-}\eta'\$ measured branching ratios.
With this increased form factor and with only a moderate annihilation
contribution, we are able to obtain \$62\times 10^{-6}\$ for the
penguin-dominated \$B^{-}\to K^{-}\eta'\$ branching ratios, quite close to the
measured value. This supports the predicted value for the \$B\to \eta'\$ form
factor in PQCD and light-cone sum rules approach. A possible increase by 15\% of
\$\<0|\bar{s} i\gamma\_5 s|s\bar{s}\>\$ for \$\eta\_{0} \$ would bring the predicted
\$B^{-}\to K^{-}\eta'\$ branching ratio to \$69.375\times 10^{-6}\$, very close to
experiment.},
added-at = {2019-02-23T22:09:48.000+0100},
archiveprefix = {arXiv},
author = {Pham, T. N.},
biburl = {https://www.bibsonomy.org/bibtex/2f3999d1d86b23cd252430a26439989ba/cmcneile},
citeulike-article-id = {10681955},
citeulike-linkout-0 = {http://arxiv.org/abs/0710.2412},
citeulike-linkout-1 = {http://arxiv.org/pdf/0710.2412},
day = 17,
eprint = {0710.2412},
interhash = {ea89fced8c7dd3e6c08cc34f9f1e4fd9},
intrahash = {f3999d1d86b23cd252430a26439989ba},
keywords = {eta},
month = jan,
posted-at = {2012-05-18 14:17:26},
priority = {2},
timestamp = {2019-02-23T22:15:27.000+0100},
title = {Nonet symmetry in \eta, \eta^{\prime} and B\to K\eta,K\eta^{\prime} decays},
url = {http://arxiv.org/abs/0710.2412},
year = 2008
}