# XIIIth Quark Confinement and the Hadron Spectrum

31 July 2018 to 6 August 2018
Maynooth University
Europe/Dublin timezone

## The NNNLO spectrum: Bc, bottomonium and charmonium

2 Aug 2018, 14:40
20m
Hall H (Arts Bldg.)

### Hall H

#### Arts Bldg.

Talk C: Heavy quarks

### Speaker

Clara Peset Martin (Technical University of Munich (TUM))

### Description

In this talk I will explain how to obtain the perturbative NNNLO heavy quarkonium spectrum for equal and different masses. This computation allows to determine the charm and bottom quark masses from the bottomonium, charmonium and $B_c$ systems. The use of the renormalon subtracted scheme, provides control over the divergence of the perturbative series due to the pole mass renormalon. On top of this, we also study an alternative computational scheme that treats the static potential exactly.
Finally, I will present a determination of $\alpha_s(M_z)$ based on a renormalon free combination of the heavy quarkonium systems.

### Primary author

Clara Peset Martin (Technical University of Munich (TUM))