TTP08-22 Multi-Loop Calculations, Quark Masses and the Strong Coupling Constant

TTP08-22 Multi-Loop Calculations, Quark Masses and the Strong Coupling Constant

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. Kühn
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
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