Radiative Plateau Inflation with Conformal Invariance: Dynamical Generation of Electroweak and Seesaw Scales

Abstract

We investigate a scale-invariant $B-L$ scenario where the Standard Model (SM) is supplemented with a dark scalar $\varphi$ which has gauge \& Yukawa interactions, with the couplings $g_{BL}$ and $y$, respectively, leading to radiative plateau inflation at scale $\varphi =M$ in the ultraviolet (UV), while dynamically generating the Electroweak and Seesaw scales \textit{á lá} Coleman-Weinberg in the infrared (IR). This is particularly achieved by implementing threshold corrections at an energy scale ${\mu }_T$ arising due to the presence of vector-like fermions. We show that implementing the inflationary observables makes the couplings solely dependent on the plateau scale $M$, leaving us with only two independent parameters $M$ and ${\mu }_T$. Within the theoretically consistent parameter space defined by $m_{Z_{BL}}>850\mathrm{GeV}$, from the assumption of independent evolution of the dark sector couplings from the SM couplings and $M<5.67M_P$ required for the realisation of inflationary \textit{plateau-like} behaviour of the potential around $\varphi =M$, where $M_P=2.4\times 10^{18}$ GeV is the reduced Planck mass, we identify the parameter space that is excluded by the current LHC results from the search for the heavy $Z_{BL}$ boson. For typical benchmark points in the viable parameter regions, we estimate the reheating temperature to be $\mathcal{O}(TeV)$ thus consistent with the standard Big Bang Nucleosynthesis (BBN) constraints. For typical benchmark points ($M=5.67,1,0.1M_P$) we predict the scales of inflation to be ${\mathcal{H}}_{inf}=2.79\times 10^{12}$ GeV, $1.53\times 10^{10}$ GeV and $1.53\times 10^7$ GeV, respectively.

27 pages, 4 figures, Published in PRD

References in corpus (29)

• The Standard Model Higgs boson as the inflaton
• Gauge invariant MSSM inflaton
• Improved limits on the tensor-to-scalar ratio using BICEP and Planck
• A solution to the hierarchy problem from an almost decoupled hidden sector within a classically scale invariant theory
• A Delicate Universe
• The Minimal Scale Invariant Extension of the Standard Model
• Dark Matter from a Classically Scale-Invariant $SU(3{)}_X$
• Dynamical generation of the weak and Dark Matter scales from strong interactions
• Embedding inflation into the Standard Model - more evidence for classical scale invariance
• Naturalness and Dimensional Transmutation in Classically Scale-Invariant Gravity
• Chaotic inflation, radiative corrections and precision cosmology
• Inflation in scale-invariant theories of gravity
• Light Dark Matter, Naturalness, and the Radiative Origin of the Electroweak Scale
• Dimensional Transmutation in Gravity and Cosmology
• Inflation and reheating in scale-invariant scalar-tensor gravity
• Small Field Polynomial Inflation: Reheating, Radiative Stability and Lower Bound
• Volume modulus inflection point inflation and the gravitino mass problem
• Warm Inflection
• Inflection-point Higgs Inflation
• Scale Invariant FIMP Miracle
• Probing the minimal $U(1{)}_X$ model at future electron-positron colliders via the fermion pair-production channel
• Two-component scalar and fermionic dark matter candidates in a generic U$(1{)}_X$ model
• Non-local Non-Abelian Gauge Theory: Conformal Invariance and $\beta$-function
• Inflationary Parameters in Renormalization Group Improved ${\varphi }^4$ Theory
• Unified Emergence of Energy Scales and Cosmic Inflation
• Mass Gap in Infinite Derivative Non-local Higgs: Dyson-Schwinger Approach
• Strongly Coupled String-inspired Infinite Derivative Non-local Yang-Mills: Diluted Mass Gap
• Dynamical Inflection Point Inflation
• High $P_T$ Higgs excess as a signal of non-local QFT at the LHC

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• Conformal B-L and Pseudo-Goldstone Dark Matter
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