Effective connections of $a_\mu$, Higgs physics, and the collider frontier

TL;DR

This paper explores how scalar extensions of the Standard Model can connect precision muon magnetic moment measurements, Higgs physics, and collider searches through an effective field theory framework, revealing constraints and potential signals.

Contribution

It develops a complete EFT framework for charged scalar sectors, linking collider, Higgs, and muon anomalies, and analyzes their interplay and experimental constraints.

Findings

LHC Higgs data and $a_\mu$ measurements impose significant constraints on new scalar properties.

Searches for doubly charged scalars can further restrict the BSM parameter space.

The intersection of collider and precision measurements is small but informative.

Abstract

We consider scalar extensions of the SM and their effective field theoretic generalisations to illustrate the phenomenological connection between precision measurements of the anomalous magnetic moment of the muon $a_\mu$, precision Higgs measurements, and direct collider sensitivity. To this end, we consider charged BSM scalar sectors of the Zee-Babu type for which we develop a consistent, and complete dimensions-5 and -6 effective field theory extension. This enables us to track generic new physics effects that interact with the SM predominantly via radiative interactions. While the operator space is high dimensional, the intersection of exotics searches at the Large Hadron Collider, Higgs signal strength and anomalous muon magnetic measurements is manageably small. We find that consistency of LHC Higgs observations and $a_\mu$ requires a significant deformation of the new states' electroweak properties. Evidence in searches for doubly charged scalars as currently pursued by the LHC experiments can be used to further tension the BSMEFT parameter space and resolve blind directions in the EFT-extended Zee-Babu scenario.