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

Abstract

In a series of papers, we have investigated the compatibility of the $Kimber$-$Martin$-$Ryskin$ ($KMR$) and $Martin$-$Ryskin$-$Watt$ ($MRW$) $unintegrated$ parton distribution functions ($UPDF$) as well as the description of the experimental data on the proton structure functions. The present work is a sequel to that survey, via calculation of the transverse momentum distribution of the electro-weak gauge vector bosons in the $k_t$-factorization scheme, by the means of the $KMR$, the $LOMRW$ and the $NLOMRW$ $UPDF$, in the next-to leading order ($NLO$). To this end, we have calculated and aggregated the invariant amplitudes of the corresponding $involved$ diagrams in the $NLO$, and counted the individual contributions in different frameworks. The preparation process for the $UPDF$ utilizes the $PDF$ of $Martin$ et al, $MSTW2008-LO$, $MSTW2008-NLO$, $MMHT2014-LO$ and $MMHT2014-NLO$ as the inputs. Afterwards, the results have been analyzed against each other, as well as the existing experimental data. Our calculation show excellent agreement with the experiment data. It is however interesting to point-out that, the calculation using the $KMR$ framework illustrates a stronger agreement with the experimental data, despite the fact that the $LOMRW$ and the $NLOMRW$ formalisms employ a better theoretical description of the $DGLAP$ evolution equation. This is of course due to the use of the different implementation of the angular ordering constraint in the $KMR$ approach, in which automatically includes the re-summation of $ln(1/x)$, $BFKL$ logarithms, in the $LO$-$DGLAP$ evolution equation.

References in corpus (7)

• Parton distributions for the LHC
• Parton distributions in the LHC era: MMHT 2014 PDFs
• Heavy-quark mass dependence in global PDF analyses and 3- and 4-flavour parton distributions
• Production of electroweak gauge bosons in off-shell gluon-gluon fusion
• The general behavior of $NLO$ unintegrated parton distributions based on the single-scale evolution and the angular ordering constraint
• Deep inelastic prompt photon production at HERA in the kt-factorization approach
• Parton evolution in the fixed flavor factorization scheme

Cited by in corpus (7)

• Application of the KMR and MRW unintegrated parton distributions to the EMC ratio of ${}^{6}Li$ nucleus in the $k_t$-factorization framework
• The EMC ratios of ${}^{4}He$, ${}^{3}He$ and ${}^{3}H$ nuclei in the $k_t$ factorization framework using the Kimber-Martin-Ryskin unintegrated parton distribution functions
• Inclusive jet and dijet productions using $k_t$ and $(z,k_t)\text{-factorizations}$ versus ZEUS collaboration data
• A detailed study of charm content of a proton in the frameworks of the Kimber-Martin-Ryskin and Martin-Ryskin-Watt approaches
• $k_t$-factorization vs collinear factorization in $W^{+}{W}^{-}$ pair production at the LHC
• The analysis of Drell-Yan lepton pair production in the P-P(P) colliders using different angular ordering constraints and $k_t$-factorization approach
• The P-P(P) cross-section of isolated single-photon production in the $k_t$-factorization and different angular ordering unintegrated parton distributions frameworks