Abstract
The assumption that the Higgs scalar field equation is conformally invariant leads to new features of the unified gauge theories including classical gravitation. Both the self-consistent approach and the external curved space-time method are discussed here. The purpose is to compute the upper and lower bounds on the mass of the stable Higgs particle. Also an attempt to obtain a discrete mass spectrum at classical level was made.
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Nikolaenko, V.M., Shikin, G.N. & Staniukowicz, K.P. Conformal invariance and the Higgs boson mass in the Weinberg-Salam theory with gravitational mechanism of instability. Gen Relat Gravit 14, 379–392 (1982). https://doi.org/10.1007/BF00756271
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DOI: https://doi.org/10.1007/BF00756271