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The vector bosons production at the Large Hadron Collider makes it possibleto investigate in detail the basic structure of electroweak interactions.Besides the LHC with a good accuracy will be measure production of weak bosons($pp \to W^+W^-$). The production of weak bosons with photon ($pp \toW^+W^-\gamma$) provides an increasingly powerful handle at highercenter-of-mass energies. We present phenomenological results for $WW\gamma$production in proton-proton interaction at the Large Hadron Collider. In thispaper, we calculate the total and differential cross sections. We consider thedependence of differential cross section distributions on transverse momentumand rapidity particles, which are produced in the final state ($W^+$ and$W^-$). We consider several important distributions, which are included in thesearch for new physics at the Large Hadron Collider. The results for transversemomentum distributions, rapidity distributions and total cross section arepresented.

The calculation of differential and total cross sections for $W^+ W^- \gamma$ production process in proton-proton collisions at LHC energies