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.

arXiv comment8 pages, 2 figures, 2 tables

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• Two-Loop Renormalization in the Standard Model Part III: Renormalization Equations and their Solutions
• Bosonic Corrections to The Effective Weak Mixing Angle at O(alpha^2)
• Two-loop electroweak fermionic corrections to sin^2 theta_{eff}^{b anti-b}
• The effective electroweak mixing angle ${\sin }^2{\theta }_{eff}$ with two-loop bosonic contributions
• Numerical multi-loop integrals and applications
• Two-Loop Vertices in Quantum Field Theory: Infrared and Collinear Divergent Configurations
• W mass and Leptonic Z-decays in the NMSSM
• Two-loop improved predictions for $M_W$ and ${\sin }^2{\theta }_{eff}$ in Two-Higgs-Doublet Models
• Bosonic corrections to the effective leptonic weak mixing angle at the two-loop level
• Three-loop electroweak corrections to the rho-parameter, sin^2 theta_eff and the W-boson mass in the large Higgs mass limit