Münster 2017 – scientific programme

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T: Fachverband Teilchenphysik

T 40: Top Quark (Theorie) 2

T 40.4: Talk

Tuesday, March 28, 2017, 11:45–12:00, VSH 05

MS-On-Shell quark mass relation at four loops — Peter Marquard¹, Alexander Smirnov², Vladimir Smirnov³, Matthias Steinhauser⁴, and •David Wellmann⁴ — ¹Deutsches Elektronen-Synchrotron (DESY), 15738 Zeuthen, Germany — ²Research Computing Center, Moscow State University, 119991 Moscow, Russia — ³Skobeltsyn Institute of Nuclear Physics, Moscow State University, 119991 Moscow, Russia — ⁴Institut für Theoretische Teilchenphysik, Karlsruher Institut für Technologie (KIT), 76128 Karlsruhe, Germany

We present the relation between heavy quark masses defined in the modified minimal subtraction and the on-shell schemes up to order α_s⁴. Special emphasis is put on the numerical evaluation of the master integrals using the method of Mellin-Barnes integrals. We furthermore discuss the relation of the MS mass to the other short-disctance masses and comment on the uncertainty of the pole mass due to renormalon divergence.