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.
- Electroweak precision measurements
- Higgs boson
- Multi-loop calculations
ASJC Scopus subject areas
- Nuclear and High Energy Physics