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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]] ​  | 
 +| |