## Abstract

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 × g^{4}/ (1024π^{3}) × m_{H}^{4}/ M_{H}^{4}. When combined with the corresponding three-loop correction to the ρ-parameter, this leads to shifts of Δ^{(3)} sin^{2} θ_{eff}^{llept} = 4.6 × 10^{-9} × m_{H}^{4}/M^{W}_{4} in the effective weak mixing angle and Δ^{(3)} M_{W} = -6.3 × 10_{-4} MeV × m_{H}^{4}/M^{W}_{4} 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 language | English (US) |
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Pages (from-to) | 3-14 |

Number of pages | 12 |

Journal | Nuclear Physics B |

Volume | 725 |

Issue number | 1-2 |

DOIs | |

State | Published - Oct 3 2005 |

## Keywords

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

## ASJC Scopus subject areas

- Nuclear and High Energy Physics