6533b82afe1ef96bd128b8db

RESEARCH PRODUCT

Mass singularities in light quark correlators: the strange quark case

K. G. ChetyrkinKarl SchilcherCesareo A. DominguezD. Pirjol

subject

PhysicsQuarkQuantum chromodynamicsStatistics::TheoryParticle physicsStrange quarkStatistics::ApplicationsDimension (graph theory)Order (ring theory)FOS: Physical sciencesExpectation valueHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)Operator product expansionSum rule in quantum mechanics

description

The correlators of light-quark currents contain mass-singularities of the form log(m^2/Q^2). It has been known for quite some time that these mass- logarithms can be absorbed into the vacuum expectation values of other operators of appropriate dimension, provided that schemes without normal- ordering are used. We discuss in detail this procedure for the case of the mass logarithms m^4 log(m^2/Q^2), including also the mixing with the other dimension-4 operators to two-loop order. As an application we present an improved QCD sum rule determination of the strange-quark mass. We obtain m_s(1 GeV)=171 \pm 15 MeV.

https://dx.doi.org/10.48550/arxiv.hep-ph/9409371