Würzburg 2018 – scientific programme

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T: Fachverband Teilchenphysik

T 37: Theorie: QCD / Top-Physik / Elektroschwache Physik

T 37.9: Talk

Tuesday, March 20, 2018, 18:30–18:45, Z6 - SR 1.013

Two mass contributions to three loop operator matrix elements and the variable flavour number scheme — Johannes Blümlein¹, Abilio De Freitas¹, Carsten Schneider², and •Kay Schönwald¹ — ¹DESY, Zeuthen, Deutschland — ²RISC, Johannes Kepler Universität Linz, Österreich

Beginning at three loop order, massive operator matrix elements receive contributions from irreducible diagrams containing two different masses, i.e. the charm and bottom quark. Since their mass ratio m_c² / m_b² ∼ 1/10 is non-negligible, both have to be decoupled together.

We show the implications of the simultaneous decoupling for the variable flavor number scheme and present the three loop, two mass contributions to the pure singlet and gluonic operator matrix element.