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ZhETF, Vol. 147, No. 3, p. 399 (March 2015)
(English translation - JETP, Vol. 120, No. 3, March 2015 available online at )

Gorsky A., Mirinov A., Morozov A., Tamaras T.N.

Received: October 31, 2014

DOI: 10.7868/S0044451015030027

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It is pointed out that the top-quark and Higgs masses and the Higgs VEV with great accuracy satisfy the relations 4mH2=2mT2=v2, which are very special and reminiscent of analogous ones at Argyres-Douglas points with enhanced conformal symmetry. Furthermore, the RG evolution of the corresponding Higgs self-interaction and Yukawa couplings λ(0)=1/8 and y(0)=1 leads to the free-field stable point \lambda(M_{Pl})= \dot\lambda(M_{Pl})=0 in the pure scalar sector at the Planck scale, also suggesting enhanced conformal symmetry. Thus, it is conceivable that the Standard Model is the low-energy limit of a distinct special theory with (super?) conformal symmetry at the Planck scale. In the context of such a ``scenario'', one may further speculate that the Higgs particle is the Goldstone boson of (partly) spontaneously broken conformal symmetry. This would simultaneously resolve the hierarchy and Landau pole problems in the scalar sector and would provide a nearly flat potential with two almost degenerate minima at the electroweak and Planck scales. Contribution for the JETP special issue in honor of V. A. Rubakov's 60th birthday

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