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The described Dark Abelian Sector Model (DASM) extends the Standard Model(SM) by a ``dark'' sector containing a spontaneously broken $U(1)_\text{d}$gauge group. Keeping this dark sector quite generic we only add one additionalHiggs boson, one Dirac fermion, and right-handed SM-like neutrinos to the SM.Using the only two singlet operators of the SM with dimension less than 4 (the$U(1)_\text{Y}$ field-strength tensor and the SM Higgs mass operator$|\Phi|^2$) as well as the right-handed neutrino fields we open up threeportals to the dark sector. Dark sectors, such as the one of the DASM, thatintroduce an additional Higgs boson $\text{H}$ as well as an additional$\text{Z}'$ gauge boson can have a large influence on the predictions forelectroweak precision observables and even accommodate possible dark mattercandidates. We consider one of the two Higgs bosons to be the known$125\,\text{GeV}$ Higgs boson and parameterize the extension of the scalarsector by the mass of the second Higgs boson, the Higgs mixing angle, and aHiggs self-coupling. We do not assume any mass hierarchy in the gauge sectorand use the mass of the additional $\text{Z}'$ boson and a correspondinggauge-boson mixing angle to parameterize the extension of the gauge sector. Thefermion sector is parameterized by the mass of the additional fermion and afermion mixing angle. We describe an on-shell as well as an$\overline{\text{MS}}$ renormalization scheme for the DASM sectors and giveexplicit results for the renormalization constants at the 1-loop level, and,thus, prepare the ground for full NLO predictions for collider observables inthe DASM. As a first example, we provide the DASM prediction for the W-bosonmass derived from muon decay.

Renormalization of a Standard Model Extension with a Dark Abelian Sector and Predictions for the W-Boson Mass