6533b7cffe1ef96bd1258fd2

RESEARCH PRODUCT

Charm quark mass with calibrated uncertainty

Pere MasjuanPere MasjuanJens ErlerHubert SpiesbergerHubert Spiesberger

subject

QuarkParticle physicsCurrent (mathematics)Physics and Astronomy (miscellaneous)High Energy Physics::LatticeFOS: Physical sciences01 natural sciencesCharm quarkHigh Energy Physics - Phenomenology (hep-ph)0103 physical sciencesContinuum (set theory)Charm (quantum number)010306 general physicsEngineering (miscellaneous)PhysicsQCD sum rulesContinuum (measurement)010308 nuclear & particles physicsHigh Energy Physics::PhenomenologyPerturbative QCDMoment (mathematics)High Energy Physics - PhenomenologyZeroth law of thermodynamicsHigh Energy Physics::ExperimentSum rule in quantum mechanicsCurrent vector

description

We determine the charm quark mass ${\hat m}_c({\hat m}_c)$ from QCD sum rules of moments of the vector current correlator calculated in perturbative QCD. 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 theoretical error. Our result is ${\hat m}_c({\hat m}_c) = 1272 \pm 8$ MeV for $\hat\alpha_s(M_Z) = 0.1182$. Special attention is given to the question how to quantify and justify the uncertainty.

https://doi.org/10.1140/epjc/s10052-017-4667-2