Broad Sub-Continuum Resonances and the Case for Finite-Energy Sum-Rules

Details Broad Sub-Continuum Resonances and the Case for Finite-Energy Sum-Rules Broad Sub-Continuum Resonances and the Case for Finite-Energy Sum-Rules

1997-10-04

arxiv.org/abs/hep-ph/9710240v1

Eur.Phys.J.C4:693-704,1998

Physics

High Energy Physics

High Energy Physics - Phenomenology

67 pages, 6 figures, to appear in Z. Phys. C

Scientific paper

10.1007/s100520050239

There is a need to go beyond the narrow resonance approximation for QCD sum-rule channels which are likely to exhibit sensitivity to broad resonance structures. We first discuss how the first two Laplace sum rules are altered when one goes beyond the narrow resonance approximation to include possible subcontinuum resonances with nonzero widths. We then show that the corresponding first two finite energy sum rules are insensitive to the widths of such resonances, provided their peaks are symmetric and entirely below the continuum threshold. We also discuss the reduced sensitivity of the first two finite energy sum rules to higher dimensional condensates, and show these sum rules to be insensitive to dimension > 6 condensates containing at least one q-bar q pair. We extract the direct single-instanton contribution to the F_1 sum rule for the longitudinal component of the axial-vector correlation function from the known single-instanton contribution to the lowest Laplace sum rule for the pseudoscalar channel. Finally, we demonstrate how inclusion of this instanton contribution to the finite-energy sum rule leads to both a lighter quark mass and to more phenomenologically reasonable higher-mass resonance contributions within the pseudoscalar channel.

Affiliated with

Also associated with

No associations

Rating

Broad Sub-Continuum Resonances and the Case for Finite-Energy Sum-Rules does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Broad Sub-Continuum Resonances and the Case for Finite-Energy Sum-Rules, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Broad Sub-Continuum Resonances and the Case for Finite-Energy Sum-Rules will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-322159