A note on the coupling of the techni-dilaton to the weak bosons

TL;DR

This paper examines how the techni-dilaton interacts with weak bosons, showing that the coupling strength depends mainly on the weak boson masses and the dilaton decay constant, regardless of the coupling mechanism.

Contribution

It provides a comparative analysis of the coupling mechanisms of the techni-dilaton to weak bosons, highlighting the dominant dependence on mass ratios.

Findings

Coupling is primarily determined by the ratio of weak boson mass squared to the dilaton decay constant.

Both direct and loop-induced couplings yield similar dependence on fundamental parameters.

The results clarify the nature of techni-dilaton interactions in technicolor models.

Abstract

In this note, we study the coupling of the techni-dilaton to the weak bosons. We consider two cases: (1) The dilaton directly couples to the weak bosons similarly to the SM. (2) The coupling in question is effectively induced only through the techni-fermion loops. In both cases, we find that the coupling is essentially determined by the mass-squared of the weak bosons over the dilaton decay constant.