A brief review of the problem of the determination of light-quark masses from
QCD sum rules for the correlators of scalar and pseudoscalar currents is given.
Special attention is paid to the description of the large-Nf​ results,
obtained in collaboration with Broadhurst and Maxwell, for the scalar
correlator, and estimates of its higher-order perturbative uncertainties within
the renormalon-inspired large-β0​ expansion in the MS
scheme are given. Brief discussion is presented of the results of calculations
of higher-order perturbative QCD corrections to the relation between pole and
MS-scheme running-quark masses. Their comparison with the
different estimates is also given.Comment: 14 pages, Contributed to the Proceedings of Quarks-2000 International
Seminar, May 2000, Pushkin, Russia; minor typos are removed, 2 referencies
are adde