Stueckelberg Mechanism and Chiral Lagrangian for $Z'$ Boson

TL;DR

This paper demonstrates the equivalence of the Stueckelberg Mechanism to a gauged U(1) chiral Lagrangian, extending the electroweak chiral Lagrangian to include a $Z'$ boson and analyzing gauge boson mixing.

Contribution

It introduces a novel perspective by linking the Stueckelberg Mechanism to a gauged U(1) chiral Lagrangian and constructs a comprehensive electroweak chiral Lagrangian including $Z'$ and Higgs bosons.

Findings

Complete list of electroweak chiral operators up to order p^4 including $Z'$.

Diagonalization of neutral gauge boson mixing.

Connections established between $Z'$ interactions and traditional electroweak operators.

Abstract

Traditional Stueckelberg Mechanism is shown equivalent to set up a gauged U(1) chiral Lagrangian and fix special gauge. With this mechanism, the original electro-weak chiral Lagrangian is inlarged by including an extra U(1) symmetry to represent physics for $Z'$ boson. We build up complete list of electro-weak chiral Lagrangian up to order of $p^4$ including $Z'$ and higgs bosons. The most general mixing among neutral gauge bosons is diagonalized completely and the connections among these operators to triple, quartic couplings involving $Z'$ boson and to that in traditional electro-weak chiral Lagrangian are made.