Prospects for the measurement of the $b$-quark mass at the ILC

TL;DR

This paper analyzes the potential of future electron-positron colliders, especially the ILC, to measure the $b$-quark mass with high precision using jet rate ratios, surpassing previous measurements.

Contribution

It introduces a full-simulation study assessing the measurement of the $b$-quark mass at future colliders, highlighting the achievable precision and dominant uncertainties.

Findings

ILC can measure $b$-quark mass at 250 GeV with 1 GeV precision.

GigaZ run could determine $m_b(m_Z)$ with 0.12 GeV uncertainty.

Measurement precision exceeds LEP and SLD results by a factor of about 3.

Abstract

This note presents an analysis of the potential of future high-energy electron-positron colliders to measure the $b$-quark mass. We perform a full-simulation study of the measurement of the ratio of the three-jet rates in events with $b\bar{b}(g)$ and $q\bar{q}(g)$ production, $R_{3}^{bl}$, and assess the dominant uncertainties, including theory and experimental systematic uncertainties. We find that the ILC "Higgs factory" stage, with an integrated luminosity of 2 ab$^{-1}$ at $\sqrt{s}=$ 250 GeV can measure the $b-$quark $bar{MS}$ mass at a scale of 250 GeV ($m_b(250~$GeV$)$) with a precision of 1 GeV. From this result we extrapolate the potential of the GigaZ run running at $\sqrt{s}= m_Z$. We expect $m_b(m_Z)$ can be determined with an 0.12 GeV uncertainty, exceeding the precision of the LEP and SLD measurements by a factor $\sim$3.