Scale-Independent Inflation and Hierarchy Generation

Abstract

We discuss models involving two scalar fields coupled to classical gravity that satisfy the general criteria: (i) the theory has no mass input parameters, (ii) classical scale symmetry is broken only through $-\frac{1}{12}\varsigma {\varphi }^{2}R$ couplings where $\varsigma$ departs from the special conformal value of $1$; (iii) the Planck mass is dynamically generated by the vacuum expectations values (VEVs) of the scalars (iv) there is a stage of viable inflation associated with slow roll in the two--scalar potential; (v) the final vacuum has a small to vanishing cosmological constant and an hierarchically small ratio of the VEVs and the ratio of the scalar masses to the Planck scale. This assumes the paradigm of classical scale symmetry as a custodial symmetry of large hierarchies.

6 Pages, 3 pdf figures, published in Phys Lett B

References in corpus (12)

• Testing General Relativity with Present and Future Astrophysical Observations
• Scale invariance, unimodular gravity and dark energy
• A solution to the hierarchy problem from an almost decoupled hidden sector within a classically scale invariant theory
• Dynamically Induced Planck Scale and Inflation
• Dark matter and neutrino masses from a scale-invariant multi-Higgs portal
• Higgs Partner Searches and Dark Matter Phenomenology in a Classically Scale Invariant Higgs Boson Sector
• Natural Inflation with Hidden Scale Invariance
• Primordial Perturbations from Multifield Inflation with Nonminimal Couplings
• Ultra-weak sector, Higgs boson mass, and the dilaton
• Small Field Coleman-Weinberg Inflation driven by Fermion Condensate
• An ultra-weak sector, the strong CP problem and the pseudo-Goldstone dilaton
• Renormalization-Group Flows and Fixed Points in Yukawa Theories

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