We analyze the potential of the CERN Large Hadron Collider to study anomalous quartic vector-boson interactions ZZgammagamma, ZZZgamma, W(+)W(-)gammagamma, and W(+)W(-)Zgamma through the weak boson fusion processes qq-->qqgammagamma and qq-->qqgammaZ(-->l(+)l(-)) with l=e or mu. After a careful study of the backgrounds and how to extract them from the data, we show that the process pp-->jjgammal(+)l(-) is potentially the most sensitive to deviations from the standard model, improving the sensitivity to anomalous couplings by up to a factor of 10(4) (10(2)) with respect to the present direct (indirect) limits.
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