Bottom Quark Mass from $\Upsilon$ Sum Rules to ${\cal O}(\alpha_s^3)$

TL;DR

This paper determines the bottom quark mass using high-order non-relativistic sum rules, explicitly showing its dependence on the strong coupling constant at the Z boson mass scale.

Contribution

It provides the first explicit dependence of the bottom quark mass on _s(M_Z) at ext{N}^3 ext{LO}^* accuracy.

Findings

Precise bottom quark mass value obtained.

Explicit _s(M_Z) dependence demonstrated.

High-order theoretical calculations applied.

Abstract

We present the deterimination of the bottom quark mass using non-relativistic $\Upsilon$ Sum Rules at $\text{N}^3\text{LO}^*$[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.