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**Anomalous quartic electroweak gauge-boson interactions**

**Authors:**

- O.J.P. Eboli (eboli AT fma.if.usp.br)

- M.C. Gonzalez-Garcia (concha AT max2.physics.sunysb.edu)

**Description of the models:**

We concentrate on anomalous quartic interaction among the electroweak gauge bosons that do not have a triple vertex associated to it. We describe these interactions using
dimension eight effective operators assuming that the recently observed Higgs boson belongs to a SU(2)_{L} doublet; see the file
quartic.pdf for further details. This model
is an extension of the Standard Model (SM) implemented at http://feynrules.irmp.ucl.ac.be/wiki/StandardModel; for further details see this link.

The model labeled SM_LS0_LS1 contains the standard model interactions supplemented by the dimension eight operators L_{S,0} and L_{S,1} defined in the file quartic.pdf. These dimension eight effective operators modify the vertices WWWW, WWZZ, and WWZZ that can be a simple re-scaling of the SM quartic interaction for a suitable choice of couplings.

The model labeled SM_LT8_LT9 contains the standard model interactions supplemented by the dimension eight operators L_{T,8} and L_{T,9} defined in the file quartic.pdf. These dimension eight effective operators give rise to anomalous AAAA, AAAZ, AAZZ, AZZZ, and ZZZZ vertices.

**References**

*Strongly interacting vector bosons at the CERN LHC: Quartic anomalous couplings*, A.S. Belyaev et al, Phys.Rev. D59 (1999) 015022 ?(hep-ph/9805229)

*p p ---> j j e+- mu+- nu nu and j j e+- mu-+ nu nu at order ... for the study of the quartic electroweak gauge boson vertex at CERN LHC*, O.J.P. Eboli, M.C. Gonzalez-Garcia , and J.K. Mizukoshi, Phys.Rev. D74 (2006) 073005 ?(hep-ph/0606118 the dimension eight operators are from this reference)

*Anomalous quartic gauge boson couplings at hadron colliders*, Oscar J.P. Eboli, M.C. Gonzalez-Garcia, S.M. Lietti, and S.F. Novaes., Phys.Rev. D63 (2001) 075008 ?hep-ph/0009262)

*Bosonic quartic couplings at CERN LHC*, O.J.P. Eboli, M.C. Gonzalez-Garcia, and S.M. Lietti, Phys.Rev. D69 (2004) 095005 ?(hep-ph/0310141)

**Instructions**

The model files include the quartic and SM vertices in the unitary gauge. To generate further models use the notebooks quartic_ls01.nb or quartic_lt89.nb as exemples and include the additional interactions that are already defined in the model file quartic.fr. The anomalous couplings are set to 1 GeV^{-4} by default, thus they should be conveniently chosen before the event generation
.