Transverse Energy-Energy Correlations of jets in the electron-proton Deep Inelastic Scattering at HERA

Abstract

We study the event shape variables, transverse energy energy correlation TEEC $(\cos \varphi )$ and its asymmetry ATEEC $(\cos \varphi )$ in deep inelastic scattering (DIS) at the electron-proton collider HERA, where $\varphi$ is the angle between two jets defined using a transverse-momentum $(k_T)$ 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 $\sqrt{s}=314$ GeV. We restrict the angular region to $-0.8\le \cos \varphi \le 0.8$, 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 $x$, $y=Q^2/(xs)$, where $Q^2=-q^2$ is the negative of the momentum transfer squared $q^2$, to $0\le x\le 1$, $0.2\le y\le 0.6$, and the pseudo-rapidity variable in the laboratory frame $({\eta }^{\mathrm{lab}})$ to the range $-1\le {\eta }^{\mathrm{lab}}\le 2.5$. The TEEC and ATEEC functions are worked out for two ranges in $Q^2$, defined by $5.5{\mathrm{GeV}}^2\le Q^2\le 80{\mathrm{GeV}}^2$, called the low-$Q^2$-range, and $150{\mathrm{GeV}}^2\le Q^2\le 1000{\mathrm{GeV}}^2$, called the high-$Q^2$-range. We show the sensitivity of these functions on the parton distribution functions (PDFs), the factorization $({\mu }_F)$ and renormalization $({\mu }_R)$ scales, and on ${\alpha }_s(M_Z)$. Of these the correlations are stable against varying the scale ${\mu }_F$ and the PDFs, but they do depend on ${\mu }_R$. These studies are useful in the analysis of the HERA data, including the determination of ${\alpha }_s(M_Z)$ from the shape variables.

arXiv comment18 pages,11 figures; v2: 16 pages, accepted for publication in EPJC

References in corpus (33)

• The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations
• Parton distributions in the LHC era: MMHT 2014 PDFs
• Successive Combination Jet Algorithm For Hadron Collisions
• The Dipole Formalism for the Calculation of QCD Jet Cross Sections at Next-to-Leading Order
• Three-jet cross sections in hadron-hadron collisions at next-to-leading order
• Event shapes in e+e- annihilation and deep inelastic scattering
• The Collinear Limit of the Energy-Energy Correlator
• Multi-jet cross sections in deep inelastic scattering at next-to-leading order
• Three-jet production in electron-positron collisions using the CoLoRFulNNLO method
• Energy-energy correlations in N=4 SYM
• The Energy-Energy Correlation at Next-to-Leading Order in QCD, Analytically
• Simplicity from Recoil: The Three-Loop Soft Function and Factorization for the Energy-Energy Correlation
• The back-to-back region in e^+e^- energy--energy correlation
• Lepton-jet Correlations in Deep Inelastic Scattering at the Electron-Ion Collider
• Resummed event-shape variables in DIS
• NNLO QCD corrections to jet production in deep inelastic scattering
• The Hadronic Final State at HERA
• Energy-energy correlation in electron-positron annihilation at NNLL+NNLO accuracy
• The Transverse Energy-Energy Correlator in the Back-to-Back Limit
• Energy-energy correlations at next-to-next-to-leading order
• Analytic Next-To-Leading Order Calculation of Energy-Energy Correlation in Gluon-Initiated Higgs Decays
• Energy correlations in the end-point region
• Precise QCD predictions for the production of dijet final states in deep inelastic scattering
• Resummation of thrust distributions in DIS
• Determination of the strong coupling constant ${\alpha }_s$ from transverse energy-energy correlations in multijet events at $\sqrt{s}=8$ TeV using the ATLAS detector
• Measurement of Event Shape Variables in Deep-Inelastic Scattering at HERA
• The 1-Jettiness DIS event shape: NNLL + NLO results
• 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 ${\alpha }_{\mathrm{s}}(m_Z)$
• The Energy-Energy Correlation Function Revisited
• Measurement of event shapes in deep inelastic scattering at HERA
• Transverse Energy-Energy Correlations in Next-to-Leading Order in ${\alpha }_s$ at the LHC
• NNLO contributions to inclusive-jet production in DIS and determination of α_s
• Measurement of alpha-s from energy-energy correlations at the Z0 resonance

Cited by in corpus (7)

• The Nucleon Energy Correlators
• The Energy-Energy Correlation in the back-to-back limit at N${}^3$LO and N${}^3$LL${}^{\prime }$
• Energy-energy correlators in Deep Inelastic Scattering
• TMD Fragmentation Functions at N${}^3$LO
• Energy-energy correlation in hadronic Higgs decays: analytic results and phenomenology at NLO
• The DIS 1-Jettiness Event Shape at N${}^3$LL+$\mathcal{O}({\alpha }_s^2)$
• Energy Correlators Beyond Angles