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Revista mexicana de física
Print version ISSN 0035-001X
Abstract
JUAREZ W., S.R.; MORALES S., A. and KIELANOWSKI, P.. Higgs mass and grand unification. Rev. mex. fis. [online]. 2004, vol.50, n.4, pp.401-405. ISSN 0035-001X.
The knowledge of the solution of the Renormalization Group Equation (RGE) for the quartic self-interaction of the Higgs scalar λH is crucial for the determination of the energy limits on the Higgs mass. λH is also important in order to solve the RGEs at the two loop level for other observables like the quark masses or the Cabibbo-Kobayashi-Maskawa (CKM) matrix. We obtain an analytical and numerical (considering Grand Unification) solution to the one loop renormalization group evolution of the Higgs quartic coupling λH in the energy range [mt, EGU], where mt is the mass of the top quark and EGU = 1014 GeV. We find that depending on the value of λH (mt) the solution for λH (E) may have singularities or zeros and become negative, in which case the Standard Model (SM) becomes inconsistent. We obtain that for 0.65 ≤ λH (mt) ≤ 0.69 the SM is valid in the whole range [mt, EGU]. These values of λH (mt) correspond to the following Higgs mass 198 ≤ mH ≤ 205 GeV.
Keywords : Standard model; Higgs; quartic self-interaction; Riccati equation.