Composite Vectors and Scalars in Theories of Ewsb: Su (2)_{l}xsu (2)_{r}/su (2)_{l+r} Effective Chiral Lagrangian with Composite Vector and Scalar Resonances

This thesis consists of two parts. The first part is devoted to the study of the heavy composite vector pair production at the LHC via Vector Boson Fusion and Drell-Yan annihilation under the assumption that the interactions among these heavy vector states and with the Standard Model gauge bosons are described by a SU(2)_L x SU(2)_R/SU(2)_{L+R} Effective Chiral Lagrangian. The expected rates of multi-lepton events from the decay of the composite vectors are also given. The second part studies the associated production at the LHC of a composite vector with a composite scalar by Vector Boson Fusion and Drell-Yan annihilation in the framework of a SU(2)_{L} x SU(2)_{R}/SU(2)_{L+R} Effective Chiral Lagrangian with massive spin one fields and one singlet light scalar. The expected rates of same sign di-lepton and tri-lepton events from the decay of the composite vector and composite scalar final state are computed. The connection of the Effective Chiral Lagrangians with suitable gauge models is elucidated.