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

TL;DR

This paper provides the most precise theoretical predictions for the W-boson mass and effective mixing angle in the aligned Two-Higgs-Doublet Model, incorporating full one-loop, known higher-order, and significant two-loop corrections.

Contribution

It introduces comprehensive two-loop corrections to key electroweak observables within the Two-Higgs-Doublet Model, improving prediction accuracy and relevance to recent experimental results.

Findings

Two-loop corrections significantly affect W mass predictions.

Predictions depend on non-standard parameters like $ aneta$ and $m_{12}^2$.

Results show compatibility with recent experimental data.

Abstract

We present the currently most precise predictions for the $W$-boson mass and the leptonic effective mixing angle $\sin^2\theta_{\text{eff}}$ 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 breakingparameter $m_{12}^2$ 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 resultof the CDF collaboration. Numerical results are shown for the dependence on the various non-standard parameters and in comparison with experimental data.