Institute for Theoretical Particle Physics (TTP)

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preprints:2009:ttp09-18 [2016/03/17 11:03] (current)
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 +====== TTP09-18 Low energy moments of heavy quark current correlators at four loops ====== 
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 +      <hidden TTP09-18  Low energy moments of heavy quark current correlators at four loops > We describe several techniques for the calculation of multi-loop 
 + integrals and their application to heavy quark current correlators. As 
 + new results, we present the four-loop correction to the second and third 
 + physical moment in the low-energy expansions of vector, axial-vector and 
 + scalar quark current correlators. Using a Ward identity, we obtain the 
 + third and fourth moment for the pseudo-scalar correlator. We briefly 
 + discuss the impact of these results on the determination of the charm 
 + quark mass and the strong coupling constant using lattice simulations 
 + for the current correlators and of the charm- and bottom-quark mass from 
 + experimental data for &sigma;(e<sup>+</sup> e<sup>-</sup> &rarr; hadrons). 
 + </hidden> 
 +|**A. Maier, P. Maierh&ouml;fer, P. Marquard, A.V. Smirnov**  |  
 +|**  Nuclear Physics  B 824 1-18 2010  **  | 
 +| {{preprints:2009:ttp09-18.pdf|PDF}} {{preprints:2009:ttp09-18.ps|PostScript}} [[http://arxiv.org/abs/0907.2117|arXiv]] [[http://ttp.kit.edu/Progdata/ttp09/ttp09-18|Programs and Data]]   | 
 +| |