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Scale-Independent Calculation of $\sin^2 θ_{eff}^{lept}$

A. Ferroglia·G. Ossola·A. Sirlin
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Abstract

We present a calculation of the electroweak mixing parameter $\sin^2 θ_{eff}^{lept}$ that incorporates known higher order effects, shares the desirable convergence properties of the $\bar{MS}$ scheme, and has the important theoretical advantage of being strictly independent of the electroweak scale in finite orders of perturbation theory . We also show how this formulation can be extended to the calculation of the W mass $M_W$. The results provide accurate, scale-independent evaluations of these important parameters, as functions of the Higgs boson mass $M_H$, and are compared with previous calculations in order to analyze the scheme and scale dependence of the electroweak corrections.

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A. Ferroglia, G. Ossola, A. Sirlin. 2001-03-01. Scale-Independent Calculation of $\sin^2 θ_{eff}^{lept}$. https://doi.org/10.1016/s0370-2693(01)00438-5

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