TTP03-04 MS Versus Pole Masses of Gauge Bosons II: Two-Loop Electroweak Fermion Corrections

TTP03-04 MS Versus Pole Masses of Gauge Bosons II: Two-Loop Electroweak Fermion Corrections

TTP03-04 MS Versus Pole Masses of Gauge Bosons II: Two-Loop Electroweak Fermion Corrections

We have calculated the fermion contributions to the shift of the position of the poles of the massive gauge boson propagators at two–loop order in the Standard Model. Together with the bosonic contributions calculated previously the full two–loop corrections are available. This allows us to investigate the full correction in the relationship between MS and pole masses of the vector bosons $Z$ and $W$. Two–loop renormalization and the corresponding renormalization group equations are discussed. Analytical results for the two-loop propagator type diagrams are presented. A new approach of summing multiple binomial sums has been used.

F. Jegerlehner, M.Yu. Kalmykov, O. Veretin
Nucl.Phys. B658 49-112 2003
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