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Four-Loop Singlet Contribution to the $\rho$ Parameter

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arxiv hep-ph/0504055 v2 pith:KEWMZKVF submitted 2005-04-07 hep-ph

classification hep-ph
keywords bosoncontributionfour-loopparametersingletanglecomputediagrams
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We compute the four-loop contribution to the electroweak $\rho$ parameter induced by the singlet diagrams of the $Z$-boson self-energy. The numerical impact on the weak mixing angle and the $W$-boson mass is small.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Three-loop corrections to the Fermi decay constant in the $\overline{\rm{MS}}$ scheme

    hep-ph 2025-07 conditional novelty 7.0 of 10

    The leading three-loop corrections to the Fermi decay constant in the pure MS scheme are computed, shifting the Standard Model Higgs VEV down by about 3.5 MeV and cutting residual scale dependence to below 2e-6.

  2. Next-to-leading order QCD corrections to $Z\to q\bar{q}\gamma$, $q\bar{q}\gamma\gamma$

    hep-ph 2024-11 conditional novelty 6.0 of 10

    NLO QCD corrections reduce the predicted widths of Z to two jets plus one photon by 6.03% and to two jets plus two photons by 12.39%.

  3. The Higgs boson through the lens of electroweak precision data

    hep-ph 2026-07 accept novelty 5.0 of 10

    Updated Gfitter EW fit with new MW average yields SM-consistent indirect observables and, via kappa_V from oblique parameters plus LHC signal strengths, determines Gamma_H to ~10% precision under leading-log assumptions.

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