LHC production of forward-center and forward-forward di-jets in the $k_t$-factorization $unintegrated$ parton distribution frameworks

Abstract

The present work is devoted to study the high-energy $QCD$ events, such as the di-jet productions from proton-proton inelastic collisions at the $LHC$ in the forward-center and the forward-forward configurations, using the $unintegrated$ parton distribution functions ($UPDF$) in the $k_t$-factorization framework. The $UPDF$ of $Kimber$ et. al. ($KMR$) and $Martin$ et.al. ($MRW$) are generated in the leading order ($LO$) and next-to-leading order ($NLO$), using the $Harland-Lang$ et al. ($MMHT2014$) $PDF$ libraries. While working in the forward-center and the forward-forward rapidity sectors, one can probe the parton densities at very low longitudinal momentum fractions ($x$). Therefore, such a computation can provide a valuable test-field for these $UPDF$. We find very good agreement with the corresponding di-jet production data available from $LHC$ experiments. On the other hand, as we have also stated in our previous works, (i.e. the protons longitudinal and transverse structure function as well as hadron-hadron $LHC$ $W/Z$ production), the present calculations based on the $KMR$ prescriptions show a better agreement with the corresponding experimental data. This conclusion is achieved, due to the particular visualization of the angular ordering constraint ($AOC$), despite the fact that the $LO-MRW$ and the $NLO-MRW$ formalisms both employ better theoretical descriptions of the $Dokshitzer$-$Gribov$-$Lipatov$ -$Altarelli$-$Parisi$ ($DGLAP$) evolution equation, and hence are expected to produce better results. The form of the $AOC$ in the $KMR$ prescription automatically includes the re-summation of the higher-order $ln(1/x)$ type contributions, i.e. the $Balitski$-$Fadin$-$Kuraev$-$Lipatov$ ($BFKL$) logarithms, in the $LO$-$DGLAP$ evolution equation.

References in corpus (24)

• Operator expansion for high-energy scattering
• Small-x F_2 Structure Function of a Nucleus Including Multiple Pomeron Exchanges
• Parton distributions in the LHC era: MMHT 2014 PDFs
• Universality of Unintegrated Gluon Distributions at small x
• Unintegrated parton distributions
• QCD coherence in the structure function and associated distributions at small $x$
• Unintegrated parton distributions and inclusive jet production at HERA
• A unified BFKL and GLAP description of $F_2$ data
• The CCFM Monte Carlo generator CASCADE 2.2.0
• NLO prescription for unintegrated parton distributions
• Gluon saturation in dijet production in p-Pb collisions at Large Hadron Collider
• Unintegrated parton distributions and electroweak boson production at hadron colliders
• The CCFM Monte Carlo generator CASCADE
• Screening effects in the ultrahigh energy neutrino interactions
• The CCFM uPDF evolution uPDFevolv
• THE GLUON DISTRIBUTION AT SMALL x OBTAINED FROM A UNIFIED EVOLUTION EQUATION.
• Small-$x$ dynamics in forward-central dijet decorrelations at the LHC
• The unintegrated gluon distribution from the CCFM equation
• The general behavior of $NLO$ unintegrated parton distributions based on the single-scale evolution and the angular ordering constraint
• QCD and Jets at Hadron Colliders
• F_L proton structure function from the unified DGLAP/BFKL approach
• A new phenomenological Investigation of $KMR$ and $MRW$ $unintegrated$ parton distribution functions
• The $NLO$ production of the $W^{\pm }$ and $Z^0$ vector bosons via hadron collisions in the frameworks of $KMR$ and $MRW$ unintegrated parton distribution functions
• Parton Distributions

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• $k_t$-factorization vs collinear factorization in $W^{+}{W}^{-}$ pair production at the LHC
• Electroweak Radiative Corrections in Precision LHC Measurements of $W^{\pm }/Z^0$+jets
• On validity of different PDFs sets using the proton $k_t$-factorization structure functions and the Gaussian $k_t$-dependence of KMR UPDFs
• The P-P(P) cross-section of isolated single-photon production in the $k_t$-factorization and different angular ordering unintegrated parton distributions frameworks