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Light-quark masses and renormalons

A. L. Kataev
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Abstract

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-$N_f$ 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-$β_0$ expansion in the $\overline{\rm MS}$ scheme are given. Brief discussion is presented of the results of calculations of higher-order perturbative QCD corrections to the relation between pole and $\overline{\rm MS}$-scheme running-quark masses. Their comparison with the different estimates is also given.

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A. L. Kataev. 2001-05-28. Light-quark masses and renormalons. https://arxiv.org/abs/hep-ph/0102223

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