Two-loop improved predictions for $M_W$ and $\sin^2θ_{eff}$ in 
Two-Higgs-Doublet Models

Hessenberger, Stephan; Hollik, Wolfgang

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Two-loop improved predictions for $M_W$ and $\sin^2θ_{eff}$ in Two-Higgs-Doublet Models

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Hessenberger, Stephan
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

Hollik, Wolfgang
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

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Citation

Hessenberger, S., & Hollik, W. (2022). Two-loop improved predictions for $M_W$ and $\sin^2θ_{eff}$ in Two-Higgs-Doublet Models. European Physical Journal C, 82, 970. Retrieved from https://publications.mppmu.mpg.de/?action=search&mpi=MPP-2022-66.

Cite as: https://hdl.handle.net/21.11116/0000-000C-B571-8

Abstract

We present the currently most precise predictions for the $W$-boson mass and the leptonic effective mixing angle in the aligned Two-Higgs-Doublet Model. The evaluation includes the full one-loop result, all known higher-order corrections of the Standard Model, and the non-standard two-loop contributions that increase with mass splittings between charged and neutral THDM Higgs bosons. They depend on $\tan\beta$ and the soft $Z_2$-symmetry breaking parameter $m_{12}^2$ of the scalar potential, in addition to the non-standard boson masses. Whenever the one-loop corrections become large, the two-loop contributions yield substantial modifications of the predictions, which is of particular importance for the $W$ mass where large mass shifts are required to reach the recently published final result of the CDF collaboration. Numerical results are shown for the dependence on the various non-standard parameters and in comparison with experimental data.