Measurement of the $τ$-lepton mass with the Belle~II experiment

Abstract

We present a measurement of the $τ$-lepton mass using a sample of about 175 million $e^+e^- \to τ^+τ^-$ events collected with the Belle II detector at the SuperKEKB $e^+e^-$ collider at a center-of-mass energy of $10.579\,\mathrm{Ge\kern -0.1em V}$. This sample corresponds to an integrated luminosity of $190\,\mathrm{fb^{-1}}$. We use the kinematic edge of the $τ$ pseudomass distribution in the decay ${τ^-\toπ^-π^+π^-ν_τ}$ and measure the $τ$ mass to be $1777.09 \pm 0.08 \pm 0.11 \,\mathrm{Me\kern -0.1em V\!/c^2}$, where the first uncertainty is statistical and the second systematic. This result is the most precise to date.