Transverse Energy-Energy Correlations in Next-to-Leading Order in ${\alpha }_s$ at the LHC

Abstract

We compute the transverse energy-energy correlation (EEC) and its asymmetry (AEEC) in next-to-leading order (NLO) in ${\alpha }_s$ in proton-proton collisions at the LHC with the center-of-mass energy $E_{c.m.}=7$ TeV. We show that the transverse EEC and the AEEC distributions are insensitive to the QCD factorization- and the renormalization-scales, structure functions of the proton, and for a judicious choice of the jet-size, also the underlying minimum bias events. Hence they can be used to precisely test QCD in hadron colliders and determine the strong coupling ${\alpha }_s$. We illustrate these features by defining the hadron jets using the anti-$k_T$ jet algorithm and an event selection procedure employed in the analysis of jets at the LHC and show the ${\alpha }_s(M_Z)$-dependence of the transverse EEC and the AEEC in the anticipated range $0.11\le {\alpha }_s(M_Z)\le 0.13$.

12 pages, 8 figures, several added references; computed a number of parametric and PDF uncertainties and quantified the sensitivity of the correlations to alpha_s(M_Z); version to appear in Physical Review D

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• NNLO QCD corrections to event shapes at the LHC
• Measurement of transverse energy-energy correlations in multi-jet events in $pp$ collisions at $\sqrt{s}=7$ TeV using the ATLAS detector and determination of the strong coupling constant ${\alpha }_{\mathrm{s}}(m_Z)$
• Energy-energy correlation in hadronic Higgs decays: analytic results and phenomenology at NLO
• Determination of the strong coupling constant from transverse energy$-$energy correlations in multijet events at $\sqrt{s}=13$ TeV with the ATLAS detector
• Limits on new coloured fermions using precision jet data from the Large Hadron Collider
• Transverse Energy-Energy Correlators in the Color-Glass Condensate at the Electron-Ion Collider
• Transverse Energy-Energy Correlations of jets in the electron-proton Deep Inelastic Scattering at HERA
• Gluon Polarimetry with Energy-Energy Correlators
• Transverse Energy-Energy Correlator for Vector Boson-Tagged Hadron Production in $pp$ and $pA$ collisions
• Limits on new strongly interacting matter from measurements of Transverse Energy-Energy Correlations at $\sqrt{s}=13$ TeV at the LHC