Composite Vectors and Scalars in Theories of Electroweak Symmetry Breaking

TL;DR

This paper investigates the production and decay of composite heavy vectors and scalars in strongly coupled electroweak symmetry breaking models, analyzing their signatures at the LHC using effective chiral Lagrangians.

Contribution

It provides a detailed analysis of composite vector and scalar production at the LHC within a specific effective field theory framework, including expected event rates and model connections.

Findings

Predicted multi-lepton event rates from composite vector decays.

Estimated same sign di-lepton and tri-lepton event rates from vector-scalar associated production.

Clarified the link between effective chiral Lagrangians and gauge models.

Abstract

In the context of a strongly coupled Electroweak Symmetry Breaking, composite triplet of heavy vectors belonging to the $SU(2)_{L+R}$ adjoint representation and a composite scalar singlet under $SU(2)_{L+R}$ may arise from a new strong interaction invariant under the global $SU(2)_L\times SU(2)_R$ symmetry, which is spontaneously broken down to $SU(2)_{L+R}$. 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 $SU(2)_L\times SU(2)_R/SU(2)_{L+R}$ 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 $SU(2)_{L}\times SU(2)_{R}/SU(2)_{L+R}$ 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.