# Measurement of the inclusive 3-jet production differential cross section in proton–proton collisions at 7 TeV and determination of the strong coupling constant in the TeV range

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## Abstract

This paper presents a measurement of the inclusive 3-jet production differential cross section at a proton–proton centre-of-mass energy of 7 TeV using data corresponding to an integrated luminosity of 5$$\,\mathrm{fb}^{-1}$$fb-1collected with the CMS detector. The analysis is based on the three jets with the highest transverse momenta. The cross section is measured as a function of the invariant mass of the three jets in a range of 445–3270 GeV and in two bins of the maximum rapidity of the jets up to a value of 2. A comparison between the measurement and the prediction from perturbative QCD at next-to-leading order is performed. Within uncertainties, data and theory are in agreement. The sensitivity of the observable to the strong coupling constant $$\alpha _\mathrm {S}$$αS is studied. A fit to all data points with 3-jet masses larger than 664 GeV gives a value of the strong coupling constant of $$\alpha _S(M_\mathrm{Z}) = 0.1171 \pm 0.0013\,\text {(exp)} \,^{+0.0073}_{-0.0047}\,\text {(theo)}$$αS(MZ)=0.1171±0.0013(exp)-0.0047+0.0073(theo).

Original language English (US) 186 1-24 24 European Physical Journal C 75 5 https://doi.org/10.1140/epjc/s10052-015-3376-y Published - May 1 2015

## All Science Journal Classification (ASJC) codes

• Engineering (miscellaneous)
• Physics and Astronomy (miscellaneous)

## Keywords

• 3-jet mass
• Alpha-S
• CMS
• Jets
• PDF
• Physics
• QCD
• Strong coupling constant

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