Low energy physics and left-right symmetry. Bounds on the model parameters

TL;DR

This paper investigates constraints on the parameters of the Left-Right Symmetric model using low-energy experiments, deriving bounds on heavy gauge boson masses and mixings, with implications for model viability.

Contribution

It provides new bounds on heavy gauge boson masses and mixings in the Left-Right Symmetric model based on low-energy experimental data, considering various model assumptions.

Findings

Lower bounds on $M_{Z_2}$: 1475 GeV without $W_L-W_R$ mixing.

Lower bounds on $M_{Z_2}$: 1205 GeV with maximal mixing.

Bounds on $Z_2$ mixing angle and $W_2$ mass are established.

Abstract

In any gauge model with spontaneous symmetry breakdown the gauge boson masses and their mixings are not independent quantities. They are interconnected through the vacuum expectation values (VEVs) of the Higgs sector. We discuss the low-energy experiments, namely electron-hadron, neutrino-hadron and neutrino-electron processes in the frame of the Manifest Left-Right Symmetric model and show the impact of these dependencies on the possible heavy gauge boson masses and mixings. At 90 % C.L., we obtain $M_{Z_2} \geq 1475$ GeV for phenomenologically favorable models, without $W_L-W_R$ mixing and $M_{Z_2} \geq 1205$ GeV in the other extreme case when a maximal mixing is possible. If we consider the \lr parameters without any constraints from the Higgs sector these limits get down to 410 GeV. Bounds on the Z_2 mixing angle as well as the W_2 mass and its mixing angle are also given.