Constraining $\mathcal{N}=1$ supergravity inflation with non-minimal Kähler operators using $\delta N$ formalism

Abstract

In this paper I provide a general framework based on $\delta N$ formalism to study the features of unavoidable higher dimensional non-renormalizable Kähler operators for $\mathcal{N}=1$ supergravity (SUGRA) during primordial inflation from the combined constraint on non-Gaussianity, sound speed and CMB dipolar asymmetry as obtained from the recent Planck data. In particular I study the nonlinear evolution of cosmological perturbations on large scales which enables us to compute the curvature perturbation, $\zeta$, without solving the exact perturbed field equations. Further I compute the non-Gaussian parameters $f_{NL}$, ${\tau }_{NL}$ and $g_{NL}$ for local type of non-Gaussianities and CMB dipolar asymmetry parameter, $A_{CMB}$, using the $\delta N$ formalism for a generic class of sub-Planckian models induced by the Hubble-induced corrections for a minimal supersymmetric D-flat direction where inflation occurs at the point of inflection within the visible sector. Hence by using multi parameter scan I constrain the non-minimal couplings appearing in non-renormalizable Kähler operators within, $\mathcal{O}(1)$, for the speed of sound, $0.02\le c_s\le 1$, and tensor to scalar, $10^{-22}\le r_{\star }\le 0.12$. Finally applying all of these constraints I will fix the lower as well as the upper bound of the non-Gaussian parameters within, $\mathcal{O}(1-5)\le f_{NL}\le 8.5$, $\mathcal{O}(75-150)\le {\tau }_{NL}\le 2800$ and $\mathcal{O}(17.4-34.7)\le g_{NL}\le 648.2$, and CMB dipolar asymmetry parameter within the range, $0.05\le A_{CMB}\le 0.09$.

arXiv comment26 pages, 5 figures, Accepted for publication in JHEP

References in corpus (36)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Non-Gaussian features of primordial fluctuations in single field inflationary models
• Non-Gaussianity from Inflation: Theory and Observations
• A General Analytic Formula for the Spectral Index of the Density Perturbations produced during Inflation
• A general proof of the conservation of the curvature perturbation
• Baryogenesis from Flat Directions of the Supersymmetric Standard Model
• Observation of a new boson with mass near 125 GeV in pp collisions at sqrt(s) = 7 and 8 TeV
• The inflationary prediction for primordial non-gaussianity
• Primordial Non-Gaussianities from Inflation Models
• Supersymmetry Breaking in the Early Universe
• Super-Horizon Scale Dynamics of Multi-Scalar Inflation
• Particle physics models of inflation and curvaton scenarios
• Cosmological consequences of MSSM flat directions
• Gauge invariant MSSM inflaton
• Violation of non-Gaussianity consistency relation in a single field inflationary model
• Flat directions in the scalar potential of the supersymmetric standard model
• Hunting for Primordial Non-Gaussianity in the Cosmic Microwave Background
• MSSM flat direction inflation: slow roll, stability, fine tunning and reheating
• A WIMPy Baryogenesis Miracle
• A-term inflation and the smallness of the neutrino masses
• In-in and $\delta N$ calculations of the bispectrum from non-attractor single-field inflation
• An accurate bound on tensor-to-scalar ratio and the scale of inflation
• The CMB asymmetry from inflation
• Low & High scale MSSM inflation, gravitational waves and constraints from Planck
• A universal bound on N-point correlations from inflation
• Phenomenology of WIMPy baryogenesis models
• Inflection point inflation within supersymmetry
• Non-Gaussianity Consistency Relation for Multi-field Inflation
• CMB dipole asymmetry from a fast roll phase
• Inflection point inflation: WMAP constraints and a solution to the fine-tuning problem
• On baryogenesis from dark matter annihilation
• Separable and non-separable multi-field inflation and large non-Gaussianity
• Visible sector inflation and the right thermal history in light of Planck data
• The different varieties of the Suyama-Yamaguchi consistency relation and its violation as a signal of statistical inhomogeneity
• Nonlinear curvature perturbations in an exactly soluble model of multi-component slow-roll inflation
• Positive Order H^2 Mass Corrections and Affleck-Dine Baryogenesis

Cited by in corpus (28)

• Inflation from Nilpotent Kähler Corrections
• Entangled de Sitter from Stringy Axionic Bell pair I: An analysis using Bunch Davies vacuum
• Primordial non-Gaussianity from ultra slow-roll Galileon inflation
• Can Effective Field Theory of inflation generate large tensor-to-scalar ratio within Randall Sundrum single braneworld?
• Single field inflation in the light of Pulsar Timing Array Data: Quintessential interpretation of blue tilted tensor spectrum through Non-Bunch Davies initial condition
• Quantum aspects of chaos and complexity from bouncing cosmology: A study with two-mode single field squeezed state formalism
• CMB from EFT
• COSMOS-$e^{\prime }$- soft Higgsotic attractors
• COSMOS-$e^{\prime }$-GTachyon from String Theory
• Reconstructing inflationary paradigm within Effective Field Theory framework
• Large fluctuations and Primordial Black Holes
• $\alpha$ attractors in Quintessential Inflation motivated by Supergravity
• The Cosmological OTOC: Formulating new cosmological micro-canonical correlation functions for random chaotic fluctuations in Out-of-Equilibrium Quantum Statistical Field Theory
• Cosmological spectrum of two-point correlation function from vacuum fluctuation of Stringy Axion field in De Sitter space: A study of the role of Quantum Entanglement
• Modified Lyth bound and implications of BICEP2 results
• Obviating PBH overproduction for SIGWs generated by Pulsar Timing Arrays in loop corrected EFT of bounce
• Testing supersymmetric Higgs inflation with non-Gaussianity
• Inflamagnetogenesis redux: Unzipping sub-Planckian inflation via various cosmoparticle probes
• Quantum Gravity Effect in Torsion Driven Inflation and CP violation
• Regularized-Renormalized-Resummed loop corrected power spectrum of non-singular bounce with Primordial Black Hole formation
• Modulus stabilization in higher curvature dilaton gravity
• Primordial Black Holes from Effective Field Theory of Stochastic Single Field Inflation at NNNLO
• Hysteresis in the Sky
• Supergravity, $\alpha$-attractors and primordial non-Gaussianity
• Effective Field Theory of Dark Matter from membrane inflationary paradigm
• Negative non-Gaussianity as a salvager for PBHs with PTAs in bounce
• Entanglement negativity in de Sitter biverse from Stringy Axionic Bell pair: An analysis using Bunch-Davies vacuum
• Cosmological Geometric Phase From Pure Quantum States: A study without/with having Bell's inequality violation