Bottom Quark Mass from ${\rm Y}$ Sum Rules to $\mathcal{O}({\alpha }_s^3)$

Abstract

We present the deterimination of the bottom quark mass using non-relativistic ${\rm Y}$ Sum Rules at ${\text{N}}^3{\text{LO}}^{\ast }$[1]. The explicit dependence of ${\overline{m}}_b({\overline{m}}_b)$ on the input value ${\alpha }_s(M_Z)$ is given for the first time.

Comments: Contribution to the proceedings of "Loops and Legs in Quantum Field Theory - LL 2014", 27 April - 2 May 2014, Weimar, Germany