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We analyze the potential of the CERN Large Hadron Collider running at 7 TeVto search for deviations from the Standard Model predictions for the triplegauge boson coupling ZW+W- assuming an integrated luminosity of 1 fb^{-1}. Weshow that the study of W+W- and W^\pm Z productions, followed by the leptonicdecay of the weak gauge bosons can improve the present sensitivity on theanomalous couplings \Delta g_1^Z, \Delta \kappa_Z, \lambda_Z, g_4^Z, and\tilde{\lambda}_Z at the 2\sigma level.

Scrutinizing the ZW+W- vertex at the Large Hadron Collider at 7 TeV