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The possible form of New Physics (NP) interactions affecting the ZZZ, $ZZ\gamma$ and $Z\gamma \gamma$ vertices, is critically examined. Their signaturesand the possibilities to study them, through ZZ and $Z\gamma$ production, atthe e^-e^+ Colliders LEP and LC and at the hadronic Colliders Tevatron and LHC,are investigated. Experimental limits obtained or expected on each coupling arecollected. A simple theoretical model based on virtual effects due to someheavy fermions is used for acquiring some guidance on the plausible forms ofthese NP vertices. In such a case specific relations among the various neutralcouplings are predicted, which can be experimentally tested and possibly usedto constrain the form of the responsible NP structure.Comment: 17 pages and 9 figures, version to appear in Phys. ReV. e-mail:  renard@lpm.univ-montp2.f

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Signatures of the anomalous<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Z</mml:mi><mml:mi>γ</mml:mi></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ZZ</mml:mi></mml:math>production at lepton and hadron colliders

Signatures of the anomalousZγandZZproduction at lepton and hadron colliders