alpha_s^3 conversion relation betweeen MS-bar and Euclidean quark masses
arXiv:hep-ph/9909565 · doi:10.1016/S0920-5632(00)00612-5
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.
4 pages, Latex, uses espcrc2.sty. The paper is also available via anonymous ftp at ftp://ttpux2.physik.uni-karlsruhe.de/ttp99/ttp99-39/ or via www at http://www-ttp.physik.uni-karlsruhe.de/Preprints/