QCD Sum Rules and the Lowest-Lying I=0 Scalar Resonance

Details QCD Sum Rules and the Lowest-Lying I=0 Scalar Resonance QCD Sum Rules and the Lowest-Lying I=0 Scalar Resonance

1997-08-26

arxiv.org/abs/hep-ph/9708466v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, LaTeX, 4 figures, to appear in the proceedings of MRST 97, few typos corrected

Scientific paper

A QCD Laplace sum rule framework is employed to investigate the relationship between the mass and the decay width of the sigma, the lowest-lying isoscalar resonance in the spin-zero meson channel. Our analysis differs from prior analyses, not only by incorporating finite-width departures from the narrow resonance approximation, but also through the inclusion of direct-instanton contributions and three-loop-order perturbative effects. Assuming that the sigma is the dominant subcontinuum resonance in this channel, the least upper bound we obtain for the sigma-mass is shown to increase with the sigma-width, and suggests that a sigma lighter than 800 MeV should have a total width substantially smaller than its mass.

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