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MS vs. Pole Masses of Gauge Bosons: Electroweak Bosonic Two-Loop Corrections

F. Jegerlehner·M. Yu. Kalmykov·O. Veretin
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Abstract

The relationship between MS and pole masses of the vector bosons Z and W is calculated at the two-loop level in the Standard Model. We only consider the purely bosonic contributions which represents a gauge invariant subclass of diagrams. All calculations were performed in the linear $R_ξ$ gauge with three arbitrary gauge parameters utilizing the method of asymptotic expansions. The results are presented in analytic form as series in the small parameters $\sin^2θ_W$ and mass ratio $m_Z^2/m_H^2$. As a byproduct we obtain the bosonic two-loop contributions to the renormalization of the weak mixing parameter $\sin^2θ_W$ and of the Fermi constant. The running of Fermi constant will become important at high energy colliders.

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F. Jegerlehner, M. Yu. Kalmykov, O. Veretin. 2002-06-15. MS vs. Pole Masses of Gauge Bosons: Electroweak Bosonic Two-Loop Corrections. https://doi.org/10.1016/s0550-3213(02)00613-2

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