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Casimir vacuum energy is divergent. It needs to be regularized. Theregularization introduces a renormalization scale which may lead to a scaledependent cosmological constant. We show that the requirement of physicalcosmological constant is renormalization scale independent provides importantconstraints on possible particle contents and their masses in particle physicsmodels. In the Standard Model of strong and electroweak interactions, besidesthe Casimir vacuum energy there is also vacuum energy induced from spontaneoussymmetry breaking. The requirement that the total vacuum energy to be scaleindependent dictates the Higgs mass to be $m_H^4 = 8\sum_i N_i m^4_i - 12m^4_W- 6 m^4_Z$, where the summation is over fermions and $N_i$ equals to 3 and 1for quarks and leptons, respectively. The Higgs mass is predicted to beapproximately 382 GeV.Comment: RevTex 9 pages, no figure, several comments and references adde

HIGGS MASS FROM A CASIMIR ENERGY INDUCED COSMOLOGICAL CONSTANT IN THE STANDARD MODEL