Philipp Maierhoefer (Karlsruhe):

Four-loop tadpoles and their applications

Abstract:

I give an overview of the status of four-loop tadpole calculations and their applications. Recent developments in reduction techniques for multi-loop integrals based on Integration-by-Parts, Laporta algorithm and Groeber bases are presented. Using a combined approach of these techniques we calculated the second moment of the heavy quark current correlator. The impact on determinations of charm and bottom quark masses is discussed.

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