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Recently, the ATLAS data of isolated three-photon production showed that thenext-to-leading order (NLO) collinear factorization is not enough to describeexperimental data. Therefore, one needs to calculate the cross section beyondthe NLO, and as showed later, these data can be well described by the NNLOcalculation within the collinear factorization framework. However, it is shownthat the $k_t$-factorization can be quite successful in describing exclusiveand high energy collision processes, henceforth we decided to calculateisolated three-photon production within this framework. In this work we use theMartin, Ryskin, and Watt unintegrated parton distribution functions (MRW UPDFs)at LO and NLO levels, in addition to parton branching (PB) UPDFs in order tocalculate cross section which we utilize the KATIE parton level eventgenerator. It will be shown that in contrast to collinear factorization, the$k_t$-factorization can describe quiet well the three-photon production ATLASdata. Interestingly our results using the NLO-MRW and PB UPDFs can cover thedata within their uncertainty bands, similar to the NNLO collinear results.

Three-photon productions within the $k_t$-factorization for the ATLAS-LHC data