Jun 13 – 17, 2011
Europe/Berlin timezone
Proceedings are now available online at <a href="http://www.slac.stanford.edu/econf/C110613/">eConf</a>

Unprejudiced look at effective continuum thresholds in Borel dispersive sum rules

Jun 14, 2011, 6:20 PM
1h 10m
Millerzimmer (Künstlerhaus)



poster Poster Session Poster Session


Prof. Wolfgang Lucha (HEPHY Vienna Austria)


We show that the effective continuum threshold - one of the key parameters of the method of Borel sum rules for the calculation of properties of an isolated bound-state - is a complicated quantity. Although a constant approximation for the effective threshold is commonly used in the analysis of hadron observables within sum rules in QCD, the effective threshold in fact depends on the Borel parameter and for the case of the three-point function also on the momentum transfer. Moreover, the effective threshold which isolates the contribution of the ground state to a specific correlator turns out to vary from one correlator to another. We discuss an algorithm for fixing these thresholds which leads to a considerable improvement of the accuracy of the method of sum rules for the bound-state properties.

Primary authors

Prof. Dmitri Melikhov (HEPHY Vienna Austria & SINP Moscow Russia) Prof. Silvano Simula (INFN Roma Italy) Prof. Wolfgang Lucha (HEPHY Vienna Austria)

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