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Research PapersNo Access

ELECTROWEAK–HIGGS UNIFICATION AND THE HIGGS BOSON MASS

Facultad de Ciencias, U. de Colima, Colima, C.P. 28040, México

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,

J. L. DÍAZ-CRUZ

Facultad de Ciencias Físico-Matemáticas, BUAP, Apdo. Postal 1364, C.P. 72000 Puebla, Pue., México

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, and

Instituto de Física, BUAP, Apdo. Postal J-48, C.P. 72570 Puebla, Pue., México

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https://doi.org/10.1142/S0217751X07034283Cited by:5 (Source: Crossref)

Abstract

We propose an alternative unification scenario where the Higgs self-coupling (λ) is determined by imposing its unification with the electroweak gauge couplings. An attractive feature of models within this scenario is the possibility to determine the Higgs boson mass by evolving λ from the electroweak–Higgs unification scale M_GH down to the electroweak scale. The unification condition for the gauge (g₁, g₂) and Higgs couplings is written as g₁ = g₂ = f(λ), where being the normalization constant. Two variants for the unification condition are discussed; scenario I is defined through the linear relation: g₁ = g₂ = k_Hλ(M_GH), while scenario II assumes a quadratic relation: . Fixing k_H = O(1) and the standard normalization (k_Y = 5/3), we obtain a Higgs boson mass value m_H ≃ 190 GeV, with similar results for other normalizations such as k_Y = 7/4 and 3/2. However, the unification scale M_GH depends on the value of k_Y, going from 1.8 ×10¹²GeV up to 4.9 ×10¹⁴GeV for 7/4 > k_Y > 3/2. Possible tests of this idea at a future linear collider and its application for determining the Higgs spectrum in the two-Higgs doublet model are also discussed. We also elaborate on these unification scenarios within the context of a six-dimensional SU(3)_c×SU(3)_w Gauge–Higgs unified model, where the Higgs boson arises as the extra-dimensional components of the 6D gauge fields.

Keywords:

PACS: 12.60.Fr, 12.15.Mm, 14.80.Cp

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Vol. 22, No. 07

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History

Received 28 June 2006

Revised 4 September 2006

Keywords