%0 Electronic Article
%A Ali, Ahmed
%A Li, Gang
%A Wang, Wei
%A Xing, Zhi-Peng
%T Transverse Energy-Energy Correlations of jets in the electron-proton Deep Inelastic Scattering at HERA
%N arXiv:2008.00271
%M PUBDB-2020-03045
%M arXiv:2008.00271
%M ACFI-T20-09
%M DESY-20-129
%P 1-18
%D 2020
%Z 18 pages,11 figures
%X We study the event shape variables, transverse energy energy correlation TEEC (cosϕ) and its asymmetry ATEEC (cosϕ) in deep inelastic scattering (DIS) at the electron-proton collider HERA, where ϕ is the angle between two jets defined using a transverse-momentum (k<sub>T</sub>) jet algorithm. At HERA, jets are defined in the Breit frame, and the leading nontrivial transverse energy energy correlations arise from the 3-jet configurations. With the help of the NLOJET++, these functions are calculated in the leading order (LO) and the next-to-leading order (NLO) approximations in QCD at the electron-proton center-of-mass energy √s=314 GeV. We restrict the angular region to −0.8  ≤ cosϕ ≤ 0.8, as the forward- and backward-angular regions require resummed logarithmic corrections, which we have neglected in this work. Following experimental jet-analysis at HERA, we restrict the DIS-variables x, y=Q<sup>2</sup>/(x s), where Q<sup>2</sup>=−q<sup>2</sup> is the negative of the momentum transfer squared q<sup>2</sup>, to 0  ≤ x  ≤ 1, 0.2  ≤ y  ≤ 0.6, and the pseudo-rapidity variable in the laboratory frame (η<sup>lab</sup>) to the range −1  ≤ η<sup>lab</sup>  ≤ 2.5. The TEEC and ATEEC functions are worked out for two ranges in Q<sup>2</sup>, defined by 5.5 GeV<sup>2</sup>  ≤ Q<sup>2</sup>  ≤ 80 GeV<sup>2</sup>, called the low-Q<sup>2</sup>-range, and 150 GeV<sup>2</sup>  ≤ Q<sup>2</sup>  ≤ 1000 GeV<sup>2</sup>, called the high-Q<sup>2</sup>-range. We show the sensitivity of these functions on the parton distribution functions (PDFs), the factorization (μ<sub>F</sub>) and renormalization (μ<sub>R</sub>) scales, and on α<sub>s</sub>(M<sub>Z</sub>). Of these the correlations are stable against varying the scale μ<sub>F</sub> and the PDFs, but they do depend on μ<sub>R</sub>. These studies are useful in the analysis of the HERA data, including the determination of α<sub>s</sub>(M<sub>Z</sub>) from the shape variables.
%K parton: distribution function (autogen)
%K jet: correlation (autogen)
%K electron p: deep inelastic scattering (autogen)
%K track data analysis: jet (autogen)
%K higher-order: 0 (autogen)
%K higher-order: 1 (autogen)
%K DESY HERA Stor (autogen)
%K transverse energy (autogen)
%K quantum chromodynamics (autogen)
%K event shape analysis (autogen)
%K transverse momentum (autogen)
%K momentum transfer (autogen)
%K renormalization (autogen)
%K factorization (autogen)
%K Breit frame (autogen)
%K sensitivity (autogen)
%K transverse (autogen)
%K stability (autogen)
%K asymmetry (autogen)
%F PUB:(DE-HGF)25
%9 Preprint
%R 10.3204/PUBDB-2020-03045
%U https://bib-pubdb1.desy.de/record/442413