Is the Standard Model saved asymptotically by conformal symmetry?
arXiv:1409.0492 · doi:10.1134/S1063776115030218
Abstract
It is pointed out that the top-quark and Higgs masses and the Higgs VEV satisfy with great accuracy the relations 4m_H^2=2m_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 λ(M_Pl)= \dot λ(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.
13 pages
References in corpus (9)
- Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
- The Standard Model Higgs boson as the inflaton
- Electroweak Higgs as a pseudo-Goldstone boson of broken scale invariance
- Higgs inflation from Standard Model criticality
- Why should we care about the top quark Yukawa coupling?
- Remarks on Higgs Inflation
- Is there a new physics between electroweak and Planck scales?
- PREdicted the Higgs Mass
- Removing the gauge parameter dependence of the effective potential by a field redefinition
Cited by in corpus (10)
- Why should we care about the top quark Yukawa coupling?
- Dimension and Dimensional Reduction in Quantum Gravity
- The Inverse Seesaw in Conformal Electro-Weak Symmetry Breaking and Phenomenological Consequences
- Multiple-point principle with a scalar singlet extension of the Standard Model
- Instability of Higgs Vacuum via String Cloud
- Planck Scale Physics, Gravi-Weak Unification and the Higgs Inflation
- Criticality in the scale invariant standard model (squared)
- Conformal Higgs Gravity
- Spontaneous radiatively induced breaking of conformal invariance in the Standard Model
- Primordial Black Holes and Higgs Vacuum Decay