A note on the determination of light quark masses
Abstract
We provide a model-independent determination of the quantity B_0(m_d-m_u). Our approach rests only on chiral symmetry and data from the decay of the eta into three neutral pions. Since the low-energy prediction at next-to-leading order fails to reproduce the experimental results, we keep the strong interaction correction as an unknown parameter. As a first step, we relate this parameter to the quark mass difference using data from the Dalitz plot. A similar relation is obtained using data from the decay width. Combining both relations we obtain B_0(m_d-m_u)=(4495+/-440) MeV^2. The preceding value, combined with lattice determinations, leads to the values m_u(2 GeV)=(2.9+/-0.8) MeV and m_d(2 GeV)=(4.7+/-0.8) MeV.
Keywords
Cite
@article{arxiv.0803.2956,
title = {A note on the determination of light quark masses},
author = {A. Deandrea and A. Nehme and P. Talavera},
journal= {arXiv preprint arXiv:0803.2956},
year = {2008}
}
Comments
8 pages, 1 figure, updated version with all detailed formulas, title slighly changed