Bounds on the Light Quark Masses: the scalar channel revisited

Details Bounds on the Light Quark Masses: the scalar channel revisited Bounds on the Light Quark Masses: the scalar channel revisited

2007-10-02

arxiv.org/abs/0710.0543v2

Phys.Lett.B660:49-53,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages, 3figures. A few sentences have been added to improve clarity. One reference added. To be published in PLB

Scientific paper

10.1016/j.physletb.2007.12.033

We evaluate lower bounds on the sum of the up and down quark masses. The bounds follow from the constraints provided by the dispersion relation obeyed by the two--point function of the scalar current density when combined with properties of the scalar spectral function at long--distances and perturbative QCD at short--distances. Our results point to values of $m_u+m_d$ somewhat higher than those reported recently in the literature using lattice QCD simulations.

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