Abstract

In the present paper, we check and study the validity of the \textsc{KaTie} parton level event generator, by calculating the inclusive electron-proton (ep) dijet and the Proton-proton (p-p) Drell-Yan electron-pair productions differential cross sections in the $k_t$- and collinear factorization frameworks. The Martin-Ryskin-Watt (MRW) unintegrated parton distribution functions (UPDFs) are used as the input UPDFs. The results are compared with those of ZEUS ep inclusive dijet and ATLAS p-p Drell-Yan electron-pair productions, experimental data. The \textsc{KaTie} parton level event generator can directly calculate the cross sections in the $k_t$-factorization framework. It is noticed that the lab to the Breit transformation in this generator is not correctly implemented by its author, so the produced output does not cover the ep ZEUS experimental data in which the mentioned transformation is applied. By fixing the above transformation in the \textsc{KaTie} generator code, we could appropriately produce the ep inclusive dijet differential cross section, in comparison with those of ZEUS data. It is also shown that the MRW at the NLO level, with the angular ordering constraint can successfully predict the ATLAS p-p Drell-Yan data. Finally, as it is expected, we conclude that the $k_t$-factorization is an appropriate tool for the small longitudinal parton momenta and high center of mass energies, with respect to the collinear one.

Highlights

  • Monte Carlo event generators are essential tools for experimentalists and theoreticians who attempt to simulate hadronic collisions

  • Because in the previous works it was shown that the MRW unintegrated parton distribution functions (UPDFs) can produce the corresponding data reasonably [26,27,28,29,30,31,32,33,34], to confirm what makes our calculation get worse, we evaluated the differential cross section within the collinear factorization framework using the MMHT2014nlo68cl PDFs

  • We investigated the KATIE parton level event generator for calculating the differential cross section of ep inclusive dijet and p-p Drell-Yan productions within the kt-factorization framework in two energy ranges of the ZEUS and ATLAS Collaboration data, respectively

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Summary

INTRODUCTION

Monte Carlo event generators are essential tools for experimentalists and theoreticians who attempt to simulate hadronic collisions. Another approach for defining UPDFs is the MartinRyskin-Watt (MRW) approach [17,18] which assumes the parton evolves according to the DGLAP evolution equations [12,13,14] until the last parton emission, and it resums the no-emission parton probability to the hard factorization scale via the Sudakov form factor This method is investigated in detail [19,20,21,22,23,24,25] and is shown to be successful in describing the data of different processes at the LHC, Tevatron, etc., [26,27,28,29,30,31,32,33,34].

THE THEORETICAL FRAMEWORK
The KATIE parton level event generator
The MRW UPDFs
RESULTS AND DISCUSSION
KATIE results for the ZEUS inclusive dijet production data
KATIE results for the ATLAS p-p Drell-Yan electron-pair production data
CONCLUSION
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