Comment on ``Next-to-next-to-leading order vacuum polarization function of heavy quark near threshold and sum rules for $b \bar b$ system'' and ``Next-to-next-to-leading order relation between $R(e^+e^-\to b\bar b)$ and $\Gamma_{\rm sl}(b\to cl\nu_l)$ and precise determination of $|V_{cb}|$''

TL;DR

This paper discusses how a recent recalculation of the two-loop correction to the static quark-antiquark potential impacts the numerical estimates of the bottom quark mass, strong coupling constant, and CKM matrix element $|V_{cb}|$.

Contribution

It comments on the effects of a new two-loop correction value on previous estimates of fundamental parameters in heavy quark physics.

Findings

Recalculated two-loop correction differs from previous value.

The change affects estimates of $m_b$, $ ext{α}_s$, and $|V_{cb}|$.

Implications for precision determinations in heavy quark systems.

Abstract

The most recent recalculation of the two-loop correction to the static quark-antiquark potential gave the numerical value different from the previously known one. We comment on the effect this change produces on the numerical estimates of the bottom quark pole mass $m_b$, the strong coupling constant $\al_s$ and the Cabibbo-Kobayashi-Maskawa matrix element $|V_{cb}|$ obtained in our papers [1,2].