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 — preprints:2008:ttp08-22 [2016/03/15 20:38] (current) Line 1: Line 1: + ====== TTP08-22 Multi-Loop Calculations,​ Quark Masses and the Strong Coupling Constant ====== + + + The impact of multi-loop calculations on precise determinations of charm- and bottom-quark masses + and the strong coupling constant is discussed. Recent $N^3LO$ calculations,​ combined with new + ​precision data, lead to a significant reduction of the errors. The results of these analyses, + ​$m_c(3~\mbox{GeV}) = 0.986(13)~\mbox{GeV}$,​ $m_b(10~\mbox{GeV}) = 3.609(19)~\mbox{GeV}$ + and $\alpha_s(M_Z)=0.1198(15)$ + ​constitute the most precise and presently only $N^3LO$ determinations of these fundamental quantities. + ​ + |**J.H. K&​uuml;​hn** ​ | + |**       Nucl. Phys. B (Proc.Suppl.),​ 183, 97-102, 2008 Contribution to "Loops and Legs in Quantum Field Theory, 9 th DESY Workshop on Elementary Particle Theory **  | + | {{preprints:​2008:​ttp08-22.pdf|PDF}} {{preprints:​2008:​ttp08-22.ps|PostScript}} ​  | + | |