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Jegerlehner, F.; Kalmykov, M. Yu.; Veretin, O.

\(\overline{MS}\) vs. pole masses of gauge bosons. II: Two-loop electroweak fermion corrections. (English) Zbl 1097.81929

Nucl. Phys., B 658, No. 1-2, 49-112 (2003).
Summary: 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 \(\overline{MS}\) 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 master-integrals appearing in the massless fermion contributions are given. A new approach of summing multiple binomial sums has been developed.

Cited in 21 Documents

MSC:

81V22 Unified quantum theories
81T15 Perturbative methods of renormalization applied to problems in quantum field theory
81T17 Renormalization group methods applied to problems in quantum field theory

Keywords:

massive-gauge-boson propagator pole shift; standard model; renormalization group equations
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\textit{F. Jegerlehner} et al., Nucl. Phys., B 658, No. 1--2, 49--112 (2003; Zbl 1097.81929)
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