Abstract
We compute the transverse energy-energy correlation (EEC) and its asymmetry (AEEC) at next-to-leading order (NLO) in αs in pp collisions at the LHC for the nominal center-of-mass energies of 7, 8 and 13 TeV. We show that the transverse EEC and the AEEC distributions have small sensitivity to the QCD factorisation and renormalisation scales and are almost insensitive to the structure functions of the proton. Hence, they can be used to precisely test QCD in hadron colliders and determine the strong coupling αs.
Highlights
We compute the transverse energy-energy correlation (EEC) and its asymmetry (AEEC) at next-to-leading order (NLO) in αs in pp collisions at the LHC for the nominal center-of-mass energies of 7, 8 and 13 TeV
It can be expressed as the ratio of the 3jet differential cross section to the 2-jet integrated cross sections, which, by virtue of the factorsation theorem, are obtained from their respective convolutions with the parton density functions (PDF)
It has been shown in [1], that these observables have a large sensitivity to the strong coupling constant αs(mZ), and only a small sensitivity to the QCD renormalisation and factorisation scales μR and μF
Summary
The transverse energy-energy correlation function (EEC) is defined as the energy-energy weighted differential cross-section in the azimuthal angles between pairs of jets [1]. At leading order, it can be expressed as the ratio of the 3jet differential cross section to the 2-jet integrated cross sections, which, by virtue of the factorsation theorem, are obtained from their respective convolutions with the parton density functions (PDF). At next-to-leading order (NLO) in αs, its perturbative expansion can be expressed as. The AEEC is convenient as it cancels out further corrections from hadronisation and other non-perturbative effects such as multiparton interactions, ubiquous in an experimental pp collision environment
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