SMuK 2023 – wissenschaftliches Programm
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T: Fachverband Teilchenphysik
T 113: QCD Theory and Experiment II
T 113.1: Vortrag
Donnerstag, 23. März 2023, 15:50–16:05, HSZ/0405
Quark Masses in the Heavy Quark Expansion — •Anastasia Boushmelev1, Thomas Mannel1, and K. Keri Voss2 — 1Theoretische Physik 1, Center for Particle Physics Siegen Universität Siegen, D-57068 Siegen, Germany — 2Gravitational Waves and Fundamental Physics (GWFP), Maastricht University, Duboisdomein 30, NL-6229 GT Maastricht, the Netherlands and Nikhef, Science Park 105, NL-1098 XG Amsterdam, the Netherlands
Many observables can be written in terms of an operator product expansion (OPE) which factorizes the expression in perturbative and non-perturbative parts. The examples to be studied in this talk are the Heavy Quark Expansion (HQE) for inclusive semi-leptonic b → u decays and the inverse moments of the cross section e+ e− → hadrons.
In both cases the leading term of the OPE is given by the perturbatively calculated, partonic expression, which depends on the mass of the heavy quark. Calculating this using the pole mass one encounters the problem that this mass scheme suffers from so called renormalon induced ambiguities which spoil the convergence of the perturbative expansion.
However, we propose the following strategy: Since observables should be free of such ambiguities, we use an observable such as an inverse moment of the e+ e− → hadrons cross section to eliminate the pole mass from the expression for the semi-leptonic b → u rate, obtaining a perturbative relation between two observables valid to leading order in the OPE.