Confronting a Standard Model extension with a dark $U(1)$ gauge sector with the prediction for the W-boson mass

TL;DR

The paper explores a dark sector extension of the Standard Model with an extra U(1) gauge symmetry, analyzing its implications for the W-boson mass prediction and providing a renormalization scheme for the model.

Contribution

It introduces the Dark Abelian Sector Model with a new gauge symmetry, Higgs, fermion, and neutrino content, and calculates the W-boson mass prediction within this framework.

Findings

Predicted W-boson mass consistent with experimental data

Established a renormalization scheme for the extended model

Identified three portals connecting the dark sector to the Standard Model

Abstract

The Dark Abelian Sector Model (DASM) is an extension of the Standard Model of particle physics with an additional spontaneously broken $U_\text{d}(1)$ gauge symmetry connected to a dark sector, i.e. the SM particles do not carry the corresponding charge. In addition to the gauge boson resulting from the extra $U_\text{d}(1)$ gauge symmetry, the particle content is extended by a further Higgs boson, one Dirac fermion as well as right-handed neutrinos. Employing the $U_Y(1)$ field-strength tensor as well as the SM Higgs mass operator (the only two singlet operators of the SM with dimension less than four) and the right-handed neutrino fields, we open three portals to the dark sector. After an introduction of the model, we discuss a renormalization scheme for the complete model with a special focus on the renormalization of the mixing angles. Finally, as an example of application, we present the prediction for the W-boson mass derived from muon decay in the DASM.