TTP99-39 alpha_s^3 conversion relation between MS-bar and Euclidean quark masses

TTP99-39 alpha_s^3 conversion relation between MS-bar and Euclidean quark masses

TTP99-39 alpha_s^3 conversion relation between MS-bar and Euclidean quark masses

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.

K. G. Chetyrkin and A. R\'etey
Nucl.Phys.Proc.Suppl. 86 508-511 2000
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