Measurement of Energy Correlators inside Jets and Determination of the Strong Coupling ${\alpha }_{S}\left({m}_{Z}\right)$

Energy correlators that describe energy-weighted distances between two or three particles in a hadronic jet are measured using an event sample of $\sqrt{s}=13\text{}\text{}\mathrm{TeV}$ proton-proton collisions collected by the CMS experiment and corresponding to an integrated luminosity of $36.3\text{}\text{}{\mathrm{fb}}^{-1}$. The measured distributions are consistent with the trends in the simulation that reveal two key features of the strong interaction: confinement and asymptotic freedom. By comparing the ratio of the measured three- and two-particle energy correlator distributions with theoretical calculations that resum collinear emissions at approximate next-to-next-to-leading-logarithmic accuracy matched to a next-to-leading-order calculation, the strong coupling is determined at the $Z$ boson mass: ${\alpha }_{S}\left({m}_{Z}\right)=0.122{9}_{-0.0050}^{+0.0040}$, the most precise ${\alpha }_{S}\left({m}_{Z}\right)$ value obtained using jet substructure observables.