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.

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Cited by in corpus (13)

• LHC production of forward-center and forward-forward di-jets in the $k_t$-factorization $unintegrated$ parton distribution frameworks
• $KMR$ $k_t$-factorization procedure for the description of the $LHCb$ forward hadron-hadron $Z^0$ production at $\sqrt{s}=13TeV$
• Application of the KMR and MRW unintegrated parton distributions to the EMC ratio of ${}^{6}Li$ nucleus in the $k_t$-factorization framework
• A detail study of the LHC and TEVATRON hadron-hadron prompt-photon pair production experiments in the angular ordering constraint k_t-factorization approaches
• A phenomenological investigation of the integral and the differential versions of the Kimber-Martin$-Ryskin$unintegrated$ parton distribution functions using two different constraints and the MMHT2014 PDF
• 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 phenomenological study on the production of Higgs bosons in the cSMCS model 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
• $k_t$-factorization vs collinear factorization in $W^{+}{W}^{-}$ pair production at the LHC
• A detailed study of charm content of a proton in the frameworks of the Kimber-Martin-Ryskin and Martin-Ryskin-Watt approaches
• Electroweak Radiative Corrections in Precision LHC Measurements of $W^{\pm }/Z^0$+jets
• The P-P(P) cross-section of isolated single-photon production in the $k_t$-factorization and different angular ordering unintegrated parton distributions frameworks