Searching for the flavon at current and future colliders

TL;DR

This paper explores the potential for discovering the flavon particle predicted by a specific $ Z' $ model at current and future colliders, analyzing its production mechanisms and experimental constraints.

Contribution

It provides a detailed analysis of the flavon field's properties, bounds on Higgs-flavon mixing, and proposes flavonstrahlung as a novel detection method at colliders.

Findings

Bounds on Higgs-flavon mixing angle from experimental data.

Predicted flavonstrahlung cross-sections at colliders.

Feasibility of flavon detection through collider experiments.

Abstract

The $ B_3 - L_2$ $ Z' $ model may explain certain features of the fermion mass spectrum as well as the $b \rightarrow s \mu^+ \mu^-$ anomalies. The $ Z' $ acquires its mass via a TeV-scale scalar field, the flavon, whose vacuum expectation value spontaneously breaks the family non-universal gauged $ U(1)_{B_3 - L_2} $ symmetry. We review the key features of the model, with an emphasis on its scalar potential and the flavon field, and use experimental data and perturbativity arguments to place bounds upon the Higgs-flavon mixing angle. Finally, we discuss flavonstrahlung as a means to discover the flavon experimentally and compute flavonstrahlung cross-sections at current and future colliders.