Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-08-05
Physics
High Energy Physics
High Energy Physics - Phenomenology
14 pages, 2 figures. Corrected English typos, updated references
Scientific paper
In the context of a strongly coupled Electroweak Symmetry Breaking composite light scalar singlet and composite triplet of heavy vectors may arise from an unspecified strong dynamics and the interactions among themselves and with the Standard Model gauge bosons and fermions can be described by a $SU(2)_L\times SU(2)_R/SU(2)_{L+R}$ Effective Chiral Lagrangian. In this framework, the squared amplitudes for composite heavy vector pair production via gluon fusion mechanism summed over the polarization and color states are computed by considering that their only relevant contributions come from the top quark in the triangular loop followed by a scalar propagator. The production of the $V^{+}V^{-}$ and $V^{0}V^{0}$ final states at the LHC by gluon fusion mechanism is studied in the region of parameter space consistent with the unitarity constraints in the elastic channel of longitudinal gauge boson scattering and in the inelastic scattering of two longitudinal Standard Model gauge bosons into Standard Model fermions pairs. The expected rates of same-sign di-lepton and tri-lepton events from the decay of the $V^{+}V^{-}$ and $V^{0}V^{0}$ final states are computed. It is very relevant the fact that the $V^{0}V^{0}$ final state can only be produced at the LHC via gluon fusion mechanism since this state is absent in the Drell-Yan process. It is also found that the $V^{+}V^{-}$ final state production cross section via gluon fusion mechanism is comparable with the $V^{+}V^{-}$ Drell-Yan production cross section.
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