https://doi.org/10.1140/epjc/s10052-017-4667-2
Regular Article - Theoretical Physics
Charm quark mass with calibrated uncertainty
1
Instituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20–364, 01000, Mexico, DF, Mexico
2
Grup de Física Teòrica, Departament de Física, Universitat Autònoma de Barcelona, Barcelona, Spain
3
Institut de Física d’Altes Energies (IFAE), The Barcelona Institute of Science and Technology (BIST), Campus UAB, Bellaterra, 08193, Barcelona, Spain
4
PRISMA Cluster of Excellence, Institut für Physik, Johannes Gutenberg-Universität, 55099, Mainz, Germany
5
Centre for Theoretical and Mathematical Physics and Department of Physics, University of Cape Town, Rondebosch, 7700, South Africa
* e-mail: spiesber@uni-mainz.de
Received:
10
December
2016
Accepted:
30
January
2017
Published online:
14
February
2017
We determine the charm quark mass 
from QCD sum rules of the moments of the vector current correlator calculated in perturbative QCD at 
. Only experimental data for the charm resonances below the continuum threshold are needed in our approach, while the continuum contribution is determined by requiring self-consistency between various sum rules, including the one for the zeroth moment. Existing data from the continuum region can then be used to bound the theoretic uncertainty. Our result is 
MeV for 
, where the central value is in very good agreement with other recent determinations based on the relativistic sum rule approach. On the other hand, there is considerably less agreement regarding the theory dominated uncertainty and we pay special attention to the question how to quantify and justify it.
© The Author(s), 2017
