Light Quark Masses and Quarkonium Decays

Details Light Quark Masses and Quarkonium Decays Light Quark Masses and Quarkonium Decays

1992-06-24

arxiv.org/abs/hep-ph/9206247v1

Phys.Lett.B292:159-163,1992

Physics

High Energy Physics

High Energy Physics - Phenomenology

15pages, UCSD/PTH 92/06

Scientific paper

10.1016/0370-2693(92)90624-D

After discussing the intrinsic ambiguity in determining the light quark mass ratio $m_u/m_d$, we reexamine the recent proposal that this ambiguity can be resolved by applying the QCD multipole expansion for the heavy quarkonium decays. It is observed that, due to instanton effects, some matrix elements which have been ignored in previous works can give a significant contribution to the decay amplitudes, which results in a large uncertainty in the value of $m_u/m_d$ deduced from quarkonium phenomenology. This uncertainty can be resolved only by a QCD calculation of some second order coefficients in the chiral expansion of the decay amplitudes.

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