Higgs-mass dependence of the effective electroweak mixing angle ${\sin }^2{\theta }_{eff}$ at the two-loop level

Abstract

The result for the Higgs-dependent electroweak two-loop bosonic contributions to the effective leptonic mixing angle of the $Z$-boson in the Standard Model is presented. Together with the previously calculated fermionic contributions it yields the complete dependence of ${\sin }^2{\theta }_{\mathrm{eff}}$ on the Higgs-boson mass $M_H$. Compared to the fermionic contributions, the bosonic contributions are found to be smaller and have the opposite sign, compensating part of the fermionic contributions.

Comments: 8 pages, 2 figures, 2 tables