2005
DOI: 10.1016/j.nuclphysb.2005.02.020
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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 g 6 m 4H /M 4 W , is opposite in sign to the leading two-loop correction of order g 4 m 2 H /M 2 W . 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.

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Cited by 69 publications
(70 citation statements)
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“…contributions containing two fermion loops) [13]. Recently, the leading three-loop contributions to the ρ parameter of O(G [15] have been computed.…”
Section: Introductionmentioning
confidence: 99%
“…contributions containing two fermion loops) [13]. Recently, the leading three-loop contributions to the ρ parameter of O(G [15] have been computed.…”
Section: Introductionmentioning
confidence: 99%
“…Within the SM, the complete one-loop [11] and two-loop [12][13][14][15][16] results are known as well as leading higher-order contributions [17][18][19][20][21].…”
Section: Introductionmentioning
confidence: 99%
“…(2.16) we see that a special case occurs when κ 2 = κ 1 , giving Br s (ZZ/W W ) = 1/2, similar to that of h 0 1 . However, in this case we have 14) up to corrections due to the mass of the Z boson. By considering all four partial widths into the electroweak bosons it is still possible to distinguish a singlet scalar from the Higgs doublet even in this special case.…”
Section: Partial Widths Ofmentioning
confidence: 99%
“…However, it is well known that φ and Φ individually violate the custodial symmetry and leads to unacceptably large corrections to the ρ parameter unless the VEV is extremely small, on the order of a few GeV [13][14][15]. For a singlet scalar s, the sV 1 V 2 couplings do not come from the Higgs mechanism.…”
Section: Jhep10(2010)053mentioning
confidence: 99%
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