Determining ${\alpha }_s(m_Z)$ from the Heavy Jet Mass distribution

Abstract

We present a state-of-the-art analysis on determining the strong coupling constant ${\alpha }_s(m_Z)$ from available $e^{+}{e}^{-}$ data for the Heavy Jet Mass (HJM) distribution. Dijet resummation is supplemented with additional resummation of shoulder logarithms appearing around the symmetric 3-jet configuration of the HJM spectrum. In addition to ${\alpha }_s(m_Z)$ we further obtain numerical results for two non-perturbative parameters, ${\Omega }_1^{\rho }$ and ${\Theta }_1$, encompassing effects from dijet and trijet hadronization effects, respectively.

Comments: 4 pages, 1 figure, 1 table, Contribution to the 2025 QCD session of the 59th Rencontres de Moriond