Four-Loop Singlet Contribution to the $\rho$ Parameter

Abstract

We compute the four-loop contribution to the electroweak $\rho$ parameter induced by the singlet diagrams of the $Z$-boson self-energy. The numerical impact on the weak mixing angle and the $W$-boson mass is small.

arXiv comment9 pages, minor changes to match published version, references added

References in corpus (11)

• The renormalization of the axial anomaly in dimensional regularization
• Complete Corrections of O(αα_s) to the Decay of the Z Boson into Bottom Quarks
• Precise Prediction for the W-Boson Mass in the Standard Model
• $O(\alpha {\alpha }_s^2)$ correction to the electroweak $\rho$ parameter
• Radiative Correction Effects of a Very Heavy Top
• Corrections of order ${\cal O}(G_F M_t^2 \as^2)$ to the $\rho$ parameter
• Three Loop Top Quark Contributions to the rho Parameter
• Complete Two-Loop Electroweak Fermionic Corrections to sin^2(theta_eff) and Indirect Determination of the Higgs Boson Mass
• High-precision epsilon expansions of single-mass-scale four-loop vacuum bubbles
• Three-Loop Electroweak Correction to the Rho Parameter in the Large Higgs Mass Limit
• Automatic reduction of four-loop bubbles

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