Three-loop electroweak correction to the rho parameter in the large Higgs mass limit

Radja Boughezal; J. B. Tausk; Jochum J. van der Bij

doi:10.1016/j.nuclphysb.2005.02.020

Three-loop electroweak correction to the rho parameter 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

47 Scopus citations

Abstract

We present an analytical calculation of the leading three-loop radiative correction to the ρ-parameter in the Standard Model in the large Higgs mass limit. This correction, of order g⁶ m_H⁴/M_W⁴, is opposite in sign to the leading two-loop correction of order g₄ m_H²/M_W². The two corrections cancel each other for a Higgs mass of approximately 480 GeV. The result shows that it is extremely unlikely that a strongly interacting Higgs sector could fit the data of electroweak precision measurements.

Original language	English (US)
Pages (from-to)	278-290
Number of pages	13
Journal	Nuclear Physics B
Volume	713
Issue number	1-3
DOIs	https://doi.org/10.1016/j.nuclphysb.2005.02.020
State	Published - May 2 2005

Keywords

Higgs boson
Multi-loop calculations
Rho parameter

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/j.nuclphysb.2005.02.020

Cite this

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title = "Three-loop electroweak correction to the rho parameter in the large Higgs mass limit",

abstract = "We present an analytical calculation of the leading three-loop radiative correction to the ρ-parameter in the Standard Model in the large Higgs mass limit. This correction, of order g6 mH4/MW4, is opposite in sign to the leading two-loop correction of order g4 mH2/MW2. The two corrections cancel each other for a Higgs mass of approximately 480 GeV. The result shows that it is extremely unlikely that a strongly interacting Higgs sector could fit the data of electroweak precision measurements.",

keywords = "Higgs boson, Multi-loop calculations, Rho parameter",

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

note = "Funding Information: We are grateful to G. Jikia for helpful discussions and to P. Marquard for his assistance with some cross-checks. This work was supported by the DFG-Forschergruppe “Quantenfeldtheorie, Computeralgebra and Monte Carlo Simulation”. It was also supported by the European Union under contract HPRN-CT-2000-00149.",

year = "2005",

month = may,

day = "2",

doi = "10.1016/j.nuclphysb.2005.02.020",

language = "English (US)",

volume = "713",

pages = "278--290",

journal = "Nuclear Physics B",

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T1 - Three-loop electroweak correction to the rho parameter in the large Higgs mass limit

AU - Boughezal, Radja

AU - Tausk, J. B.

AU - van der Bij, Jochum J.

N1 - Funding Information: We are grateful to G. Jikia for helpful discussions and to P. Marquard for his assistance with some cross-checks. This work was supported by the DFG-Forschergruppe “Quantenfeldtheorie, Computeralgebra and Monte Carlo Simulation”. It was also supported by the European Union under contract HPRN-CT-2000-00149.

PY - 2005/5/2

Y1 - 2005/5/2

N2 - We present an analytical calculation of the leading three-loop radiative correction to the ρ-parameter in the Standard Model in the large Higgs mass limit. This correction, of order g6 mH4/MW4, is opposite in sign to the leading two-loop correction of order g4 mH2/MW2. The two corrections cancel each other for a Higgs mass of approximately 480 GeV. The result shows that it is extremely unlikely that a strongly interacting Higgs sector could fit the data of electroweak precision measurements.

AB - We present an analytical calculation of the leading three-loop radiative correction to the ρ-parameter in the Standard Model in the large Higgs mass limit. This correction, of order g6 mH4/MW4, is opposite in sign to the leading two-loop correction of order g4 mH2/MW2. The two corrections cancel each other for a Higgs mass of approximately 480 GeV. The result shows that it is extremely unlikely that a strongly interacting Higgs sector could fit the data of electroweak precision measurements.

KW - Higgs boson

KW - Multi-loop calculations

KW - Rho parameter

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DO - 10.1016/j.nuclphysb.2005.02.020

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SP - 278

EP - 290

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1-3

ER -

Three-loop electroweak correction to the rho parameter in the large Higgs mass limit

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Keywords

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