Bounds on the Light Quark Masses: the scalar channel revisited
High Energy Physics - Phenomenology
2008-11-26 v2
Abstract
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 somewhat higher than those reported recently in the literature using lattice QCD simulations.
Cite
@article{arxiv.0710.0543,
title = {Bounds on the Light Quark Masses: the scalar channel revisited},
author = {Alexandre Dominguez-Clarimon and Eduardo de Rafael and Josep Taron},
journal= {arXiv preprint arXiv:0710.0543},
year = {2008}
}
Comments
7 pages, 3figures. A few sentences have been added to improve clarity. One reference added. To be published in PLB