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In the present work, which is based on the k_-factorization framework, it isintended to make a detail study of the isolated prompt-photon pairs (IPPP)production in the high-energy inelastic hadron-hadron collisions differentialcross section. The two scheme-dependent unintegrated parton distributionfunctions (UPDF) in which the angular ordering constraints (AOC) are imposed,namely the Kimber-Martin-Ryskin (KMR) and the Martin-Ryskin-Watt (MRW)approaches, in the leading and the next-to-leading orders (LO and NLO) areconsidered, respectively. These two prescriptions (KMR and MRW) utilize thephenomenological parton distribution functions (PDF) libraries of Martin et al,i.e. the MMHT2014. The computations are performed in accordance with theinitial dynamics of latest existing experimental reports of the D0, CDF, CMSand ATLAS collaborations and the different experimental constraints. It isshown that above frameworks are capable of producing acceptable results,compared to the experimental data, the pQCD and some Monte Carlo calculations(i.e. 2\gamma-NNLO, SHERPA, DIPHOX and RESBOS). It is also concluded that theKMR framework produces better results in the higher center-of-mass energies,while the same thing can be argued about the LO-MRW prescription in lowerenergies. Additionally, these two schemes show different behavior in theregions where the fragmentation and higher pQCD effects become important. Aclear prediction for the various shoulders and tails which were detectedexperimentally are observed and discussed in the present theoreticalapproaches. The possible double countings between 2 \rightarrow 2 and 2\rightarrow 3 processes are studied.

journal of physics. g, nuclear and particle physics

A detail study of the LHC and TEVATRON hadron-hadron prompt-photon pair  production experiments in the angular ordering constraint k_t-factorization  approaches