Investigación

Electroweak-Higgs unification in the two Higgs doublet model: masses and couplings of the neutral and charged Higgs bosons

J.L. Díaz-Cruzª y A. Rosado^b

ª Facultad de Ciencias Físico-Matemáticas, BUAP, Apartado Postal 1364, 72000 Puebla, Pue., México.

^b Instituto de Física, BUAP, Apartado Postal J-48, 72570 Puebla, Pue., México.

Recibido el 25 de mayo de 2007
Aceptado el 30 de agosto de 2007

Abstract

We obtain the mass spectrum and the Higgs self-couplings of the two Higgs doublet model (THDM) in an alternative unification scenario where the parameters of the Higgs potential λ_i (i = 1, 2, 3, 4, 5) are determined by imposing their unification on the electroweak gauge couplings. An attractive feature of this scenario is the possibility of determining the Higgs boson masses by evolving the from the λ_i electroweak-Higgs unification scale M_GH down to the electroweak scale. The unification condition for the gauge (1, 2) and Higgs couplings is written as 1 = 2 =ƒ(λ_i), where 1 = _Y, and k_Y isthe normalization constant. Two variants for the unification condition are discussed: Scenario I is defined through the linear relation: 1 = 2 = k_H(i) λ_i (M_GH), while Scenario II assumes a quadratic relation = = k_H(i) λ_i (M_GH). In Scenario I, by setting ad hoc —k_H (5) = (4) = (3) = k_H (2) = k_H(1) = 1, taking tan β = 1 and using the standard normalization (k_Y = 5/3), we obtain the following spectrum for the Higgs boson masses: _h°= 109.1 GeV, _H°= 123.2 GeV, _A°= 115.5 GeV, and _H± = 80.3 GeV, with similar results for other normalizations such as k_Y = 3/2 and k_Y = 7/4.

Keywords: Electroweak-Higgs unification; Higgs boson masses and couplings; Two Higgs doublet model.

Resumen

Se obtienen el espectro de masas y los autoacoplamientos de los bosones de Higgs en el modelo de dos dobletes de Higgs, en un escenario de unificacion alternativo donde los parámetros del potencial de Higgs λ_i (i = 1,2,3,4,5) son determinados imponiendo su unificación con los acoplamientos de norma electrodébiles. Una característica atractiva de este escenario es la posibilidad de determinar las masas de los bosones de Higgs mediante la evolucion de las λ_i,s de la escala de unificacion electrodébil-Higgs M_GH a la escala electrodébil. La condición de unificación para los acoplamientos de norma (1, 2) y de Higgs es 1 = 2 = ƒ(λ_i) , donde 1 = _Y , y k_Y es la constante de normalización. Dos variantes para la condición de unificación son discutidas. Escenario I definido a través de la relación lineal: 1 = 2 = k_H (i) λ_i (M_GH) , mientras en el Escenario II se supone una relación cuadrática: = = k_H (i) λ_i (M_GH). Trabajando en el Escenario I, fijando ad hoc —k_H (5) =(4) = (3) = k_H(2) = k_H(1) = 1, tomando tan β = 1 y usando la normalización estándar (k_Y = 5/3), se obtiene el siguiente espectro de masas para los bosones de Higgs_h°= 109.1 GeV, _H°= 123.2 GeV, _A° =115.5 GeV, y _H ± = 80.3 GeV, con resultados similares para otras normalizaciones, tales como k_Y= 3/2 and k_Y = 7/4.

Descriptores: Unificación electrodébil-Higgs; masas y acoplamientos de bosones de Higgs; Modelo de dos dobletes de Higgs.

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

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Acknowledgments

The authors would like to thank CONACYT and SNI (México) for their financial support, and the Huejotzingo Seminar for inspiring discussions. J.L. Díaz-Cruz also wishes to thank A. Aranda for interesting discussions.

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