Predictions for the Higgs Mass from the Stability and Triviality Conditions

Journal Article · Mon Sep 25 04:00:00 EDT 2006 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.2359257· OSTI ID:20888231

Solis R, H Gabriel; Juarez W, S Rebeca ^[1]; Kielanowski, P ^[2]

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1. Dpto. de Fisica, Esc. Sup. de Fis. y Mat. - Instituto Politecnico Nacional, UP 'Adolfo Lopez Mateos' Edif. 9, CP 07738, Mexico, DF (Mexico)
2. Dpto. de Fisica, CINVESTAV, Av. IPN 2508. CP 07360, Mexico, DF (Mexico)

In the context of the Standard Model (SM), we use the one-loop and two-loop Renormalization Group Equations (RGE) in order to analyze the evolution of the Higgs quartic coupling {lambda}H in the interval [mt, EGU], where mt is the mass of the top quark and EGU = 1014GeV. The analytical solution for the one-loop differential equation (Riccati type) is obtained and analyzed and in the two-loop case we obtain a numerical solution which takes into account all the parameters (couplings) at the same order of approximation. In both cases, we restrict the possible initial values for {lambda}H by means of imposing the triviality and stability conditions which determine the range of energies where the SM is valid. We obtain the following bounds: 0.387 < {lambda}H < 0.623 for the one-loop case and 0.360 < {lambda}H < 0.628 for the two-loop case. These results determine the interval of the possible Higgs mass values: 151.9 < MH < 192.3 GeV, 143.8 < MH < 190.3 GeV for the one-loop and two-loop cases, respectively.

• OSTI ID: 20888231
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 857; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANALYTICAL SOLUTION
APPROXIMATIONS
DIFFERENTIAL EQUATIONS
GEV RANGE 100-1000
HIGGS BOSONS
HIGGS MODEL
NUMERICAL SOLUTION
RENORMALIZATION
STANDARD MODEL
T QUARKS