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

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

2001-05-29

arxiv.org/abs/hep-ph/0105304v3

Nucl.Phys. B641 (2002) 285-326

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX, 36 p., 10 fig.; in v3 more technical details about renormalization procedure are added

Scientific paper

10.1016/S0550-3213(02)00613-2

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 $R_\xi$ 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 $\sin^2\theta_W$ 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 $\sin^2\theta_W$ and of the Fermi constant. The running of Fermi constant will become important at high energy colliders.

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