Anomalous quartic WWγγ and ZZγγ couplings in γp collision at the LHC

We analyze the anomalous quartic gauge boson couplings WW gamma gamma and ZZ gamma gamma, described by dimension-six effective quartic Lagrangian at the LHC. The sensitivities to anomalous quartic gauge couplings a(0, c)(W, Z) /Lambda(2) by examining the two different photon-induced processes pp -> p gamma p -> pW gamma qX and pp -> p gamma p -> pZZqX with W and Z's decaying leptonically are investigated. We show that gamma p mode of photon-induced reactions at the LHC are able to probe these couplings to the order of 10(-6) - 10(-7) GeV-2 at 95% confidence level (C.L.) with root s = 14 TeV and for proton-proton luminosities in the range of 30-200 fb(-1).