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

doi:10.1016/j.nuclphysb.2005.07.013

Three-loop electroweak corrections to the W-boson mass and sin²θ_eff^lept in the large Higgs mass limit

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

^*Corresponding author for this work

Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

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 × g⁴/ (1024π³) × m_H⁴/ M_H⁴. When combined with the corresponding three-loop correction to the ρ-parameter, this leads to shifts of Δ⁽³⁾ sin² θ_eff^llept = 4.6 × 10^-9 × m_H⁴/M^W₄ in the effective weak mixing angle and Δ⁽³⁾ M_W = -6.3 × 10_-4 MeV × m_H⁴/M^W₄ 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)
Pages (from-to)	3-14
Number of pages	12
Journal	Nuclear Physics B
Volume	725
Issue number	1-2
DOIs	https://doi.org/10.1016/j.nuclphysb.2005.07.013
State	Published - Oct 3 2005

Keywords

Electroweak precision measurements
Higgs boson
Multi-loop calculations

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1016/j.nuclphysb.2005.07.013

Cite this

@article{a16e60e99682403db05f90486c9cbf52,

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

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 × 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.",

keywords = "Electroweak precision measurements, Higgs boson, Multi-loop calculations",

author = "Radja Boughezal and Tausk, {J. B.} and {van der Bij}, {Jochum J.}",

note = "Funding Information: This work was supported by the DFG within the project “(Nicht)-perturbative Quantenfeldtheorie”. ",

year = "2005",

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doi = "10.1016/j.nuclphysb.2005.07.013",

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pages = "3--14",

journal = "Nuclear Physics B",

issn = "0550-3213",

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TY - JOUR

T1 - Three-loop electroweak corrections to the W-boson mass and sin2θefflept in the large Higgs mass limit

AU - Boughezal, Radja

AU - Tausk, J. B.

AU - van der Bij, Jochum J.

N1 - Funding Information: This work was supported by the DFG within the project “(Nicht)-perturbative Quantenfeldtheorie”.

PY - 2005/10/3

Y1 - 2005/10/3

N2 - 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.

AB - 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.

KW - Electroweak precision measurements

KW - Higgs boson

KW - Multi-loop calculations

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VL - 725

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JO - Nuclear Physics B

JF - Nuclear Physics B

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