alpha_s^3 conversion relation betweeen MS-bar and Euclidean quark masses
K. G. Chetyrkin, A. R\'etey (U. of Karlsruhe)
TL;DR
This paper presents an analytical calculation of the three-loop (NNNLO) conversion factor between MS-bar and Euclidean quark masses, revealing a significant correction at this order.
Contribution
It provides the first analytical NNNLO (alpha_s^3) conversion factor between MS-bar and Regularization Invariant quark masses, highlighting the size of higher-order corrections.
Findings
NNNLO correction is sizable and comparable to NNLO.
Analytical expression for the alpha_s^3 conversion factor.
Implications for precise quark mass determinations.
Abstract
We report on the analytical calculation of NNNLO (of order alpha_s^3) conversion factor between the MS-bar quark mass and the one defined in the so-called Regularization Invariant scheme. The NNNLO contribution in the conversion factor turns out to be relatively large and comparable to the known NNLO term.
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