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eta - eta prime Mixing -From electromagnetic transitions to weak decays of charm and beauty hadrons
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It has been realized for a long time that knowing the eta and eta^prime wave functions in terms of quark and gluon components probes our understanding of non-perturbative QCD dynamics. Great effort has been given to this challenge -- yet no clear picture has emerged even with the most recent KLOE data. We point out which measurements would be most helpful in arriving at a more definite conclusion. A better knowledge of these wave functions will significantly help to disentangle the weight of different decay subprocesses in semi-leptonic decays of D+, Ds^+ and B+ mesons. The resulting insights will be instrumental in treating even non-leptonic B transitions involving eta and eta^prime and their CP asymmetries; thus they can sharpen the case for or against New Physics intervening there.
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Comment on "Improved measurement of $\eta/\eta'$ mixing in $B_{(s)}^0\to J/\psi \eta^{(\prime)}$ decays"
A fit of the W-exchange annihilation amplitude to the new LHCb ratios removes the need for a large glueball component in eta' and improves the internal consistency of the eta-eta' mixing angle.
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