Light quark masses from scalar sum rules
Abstract
In this work, the mass of the strange quark is calculated from QCD sum rules for the divergence of the strangeness-changing vector current. The phenomenological scalar spectral function which enters the sum rule is determined from our previous work on strangeness-changing scalar form factors [1]. For the running strange mass in the MSbar scheme, we find ms(2 GeV) = 99 +- 16 MeV. Making use of this result and the light-quark mass ratios obtained from chiral perturbation theory, we are also able to extract the masses of the lighter quarks mu and md. We then obtain mu(2 GeV) = 2.9 +- 0.6 MeV and md(2 GeV) = 5.2 +- 0.9 MeV. In addition, we present an updated value for the light quark condensate.
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