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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 schemeJohannes Blümlein1, Abilio De Freitas1, Carsten Schneider2, and •Kay Schönwald11DESY, 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 mc2 / mb2 ∼ 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.

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