Three-loop electroweak corrections to the W-boson mass and sin2θefflept in the large Higgs mass limit

Radja Boughezal*, J. B. Tausk, Jochum J. van der Bij

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

24 Scopus citations


We present an analytical calculation of the leading three-loop radiative correction to the S-parameter in the standard model in the large Higgs mass limit. Numerically, S(3) = 1.1105 × g4/ (1024π3) × mH4/ MH4. When combined with the corresponding three-loop correction to the ρ-parameter, this leads to shifts of Δ(3) sin2 θeffllept = 4.6 × 10-9 × mH4/MW4 in the effective weak mixing angle and Δ(3) MW = -6.3 × 10-4 MeV × mH4/MW4 in the W-boson mass. For both of these observables, the sign of the three-loop correction is equal to that of the one-loop correction.

Original languageEnglish (US)
Pages (from-to)3-14
Number of pages12
JournalNuclear Physics B
Issue number1-2
StatePublished - Oct 3 2005


  • Electroweak precision measurements
  • Higgs boson
  • Multi-loop calculations

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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