Is the standard model saved asymptotically by conformal symmetry?

It is pointed out that the top-quark and Higgs masses and the Higgs VEV with great accuracy satisfy the relations 4 m H 2 = 2 m T 2 = v 2 , which are very special and reminiscent of analogous ones at Argyres-Douglas points with enhanced conformal symmetry. Furthermore, the RG evolution of the corres...

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Bibliographic Details
Published in:Journal of experimental and theoretical physics 2015-03, Vol.120 (3), p.344-353
Main Authors: Gorsky, A., Mironov, A., Morozov, A., Tomaras, T. N.
Format: Article
Language:English
Subjects:
ACCURACY
Analysis
Classical and Quantum Gravitation
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
CONFORMAL INVARIANCE
Elementary Particles
GOLDSTONE BOSONS
HIGGS BOSONS
HIGGS MODEL
INTERACTIONS
LANDAU FLUCTUATIONS
LOW-ENERGY LIMIT
MASS
Particle and Nuclear Physics
Physics
Physics and Astronomy
Quantum Field Theory
Quarks
Relativity Theory
Solid State Physics
STANDARD MODEL
SYMMETRY BREAKING
T QUARKS
YUKAWA POTENTIAL
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Summary:It is pointed out that the top-quark and Higgs masses and the Higgs VEV with great accuracy satisfy the relations 4 m H 2 = 2 m T 2 = v 2 , 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 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.
ISSN:1063-7761
1090-6509
DOI:10.1134/S1063776115030218