The value of the strong coupling <math altimg="si1.svg"><msub><mrow><mi>α</mi></mrow><mrow><mi mathvariant="normal">S</mi></mrow></msub></math> is determined in a comprehensive analysis at next-to-next-to-leading order accuracy in quantum chromodynamics. The analysis uses double-differential cross section measurements from the CMS Collaboration at the CERN LHC of inclusive jet production in proton-proton collisions at centre-of-mass energies of 2.76, 7, 8, and 13 TeV, combined with inclusive deep-inelastic data from HERA. The value <math altimg="si2.svg"><msub><mrow><mi>α</mi></mrow><mrow><mi mathvariant="normal">S</mi></mrow></msub><mo stretchy="false">(</mo><msub><mrow><mi>m</mi></mrow><mrow><mi mathvariant="normal">Z</mi></mrow></msub><mo stretchy="false">)</mo><mo linebreak="goodbreak" linebreakstyle="after">=</mo><mn>0.1176</mn><mspace width="0.2em"/><msubsup><mrow/><mrow><mo linebreak="badbreak" linebreakstyle="after">−</mo><mn>0.0016</mn></mrow><mrow><mo linebreak="badbreak" linebreakstyle="after">+</mo><mn>0.0014</mn></mrow></msubsup></math> is obtained at the scale of the Z boson mass. By using the measurements in different intervals of jet transverse momentum, the running of <math altimg="si1.svg"><msub><mrow><mi>α</mi></mrow><mrow><mi mathvariant="normal">S</mi></mrow></msub></math> is probed for energies between 100 and 1600 GeV.
Bein, S., Benecke, A., Bethani, A., Bruno, G., Caputo, C., de Favereau de Jeneret, J., Delaere, C., Donertas, I. S., Giammanco, A., Guzel, A. O., Jain, S., Lemaitre, V., Lidrych, J., Mastrapasqua, P., Tran, T. T., Turkcapar, S., CMS, & et al. (2025). Determination of the strong coupling and its running from measurements of inclusive jet production. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 868. https://doi.org/10.1016/j.physletb.2025.139651 (Original work published 2025)