Probing topcolor-assisted technicolor from lepton flavor violating processes in photon-photon collision at ILC

TL;DR

This paper investigates how lepton flavor violating processes in photon-photon collisions at the ILC can serve as sensitive probes for topcolor-assisted technicolor models, which predict detectable rates of certain flavor-changing events.

Contribution

It identifies the most promising lepton flavor violating channels at the ILC to test TC2 models, highlighting the potential for detection due to large predicted rates.

Findings

The processes involving tau and muon or tau and electron are most detectable.

Predicted rates exceed the Standard Model background, enabling potential detection.

The study provides parameter space regions where signals are observable.

Abstract

In topcolor-assisted technicolor models (TC2) the hitherto unconstrained lepton flavor mixing induced by the new gauge boson $Z'$ will lead to the lepton flavor violating productions of $\tau\bar \mu$, $\tau\bar e$ and $\mu\bar e$ in photon-photon collision at the proposed International Linear Collider (ILC). Through a comparative analysis of these processes, we find that the better channels to probe the TC2 is the production of $\tau\bar \mu$ or $\tau\bar e$ which occurs at a much higher rate than $\mu\bar e$ production due to the large mixing angle and the large flavor changing coupling, and may reach the detectable level of the ILC for a large part of the parameter space. Since the rates predicted by the Standard Model are far below the detectable level, these processes may serve as a sensitive probe for the TC2 model.