Reheating temperature from the CMB

Abstract

In the recent paper by Mielczarek \emph{et al.} (JCAP {\bf 1007} (2010) 004) an idea of the method which can be used to put some constraint for the reheating phase was proposed. Another method of constraining the reheating temperature has been recently studied by Martin and Ringeval (Phys.\ Rev.\ D {\bf 82} (2010) 023511). Both methods are based on observations of the cosmic microwave background (CMB) radiation. In this paper, we develop the idea introduced in this first article to put constraint on the reheating after the slow-roll inflation. We restrict our considerations to the case of a massive inflaton field. The method can be, however, easily extended to the different inflationary scenarios. As a main result, we derive an expression on the reheating temperature $T_{\text{RH}}$. Surprisingly, the obtained equation is independent on the unknown number of relativistic degrees of freedom $g_{\ast }$ produced during the reheating. Based on this equation and the WMAP 7 observations, we find $T_{\text{RH}}=3.5\cdot 10^6$ GeV, which is consistent with the current constraints. The relative uncertainty of the result is, however, very high and equal to $\sigma (T_{\text{RH}})/T_{\text{RH}}\approx 53$. As we show, this uncertainty will be significantly reduced with future CMB experiments.

6 pages, 3 figures. Matches version published in Phys. Rev. D

References in corpus (13)

• Towards the Theory of Reheating After Inflation
• Reheating after Inflation
• Inflation Dynamics and Reheating
• MeV-scale Reheating Temperature and Thermalization of Neutrino Background
• What is the lowest possible reheating temperature?
• First CMB Constraints on the Inflationary Reheating Temperature
• Gravitino Production After Inflation
• ACTPol: A polarization-sensitive receiver for the Atacama Cosmology Telescope
• Probing reheating temperature of the universe with gravitational wave background
• Gravitino production by primordial black hole evaporation and constraints on the inhomogeneity of the early Universe
• Constraining Fundamental Physics with Future CMB Experiments
• Forecast Constraints on Inflation from Combined CMB and Gravitational Wave Direct Detection Experiments
• Observational hints on the Big Bounce

Cited by in corpus (61)

• Reheating constraints to inflationary models
• Reheating predictions in single field inflation
• The First Three Seconds: a Review of Possible Expansion Histories of the Early Universe
• Self-resonance after inflation: oscillons, transients and radiation domination
• Equation-of-State Parameter for Reheating
• Calculations of Inflaton Decays and Reheating: with Applications to No-Scale Inflation Models
• Reheating in $R^2$ Palatini inflationary models
• Prospects for determination of thermal history after inflation with future gravitational wave detectors
• Post-Inflationary Gravitino Production Revisited
• Dynamically induced Planck scale and inflation in the Palatini formulation
• CMB and reheating constraints to α-attractor inflationary models
• Reheating in nonminimal derivative coupling model
• Time-Scales for Nonlinear Processes in Preheating after Multifield Inflation with Nonminimal Couplings
• Reheating predictions in Gravity Theories with Derivative Coupling
• Reheating temperature in non-minimal derivative coupling model
• Mechanism for the suppression of quantum noise at large scales on expanding space
• Primordial black holes and gravitational waves in teleparallel Gravity
• Cosmological Coleman-Weinberg Potentials and Inflation
• Minimal plateau inflationary cosmologies and constraints from reheating
• Constraining scalar-Gauss-Bonnet Inflation by Reheating, Unitarity and PLANCK
• Reheating in a modified teleparallel model of inflation
• Reconciling low multipole anomalies and reheating in single field inflationary models
• On the thermodynamic origin of the initial radiation energy density in warm inflation
• Model independent results for the inflationary epoch and the breaking of the degeneracy of models of inflation
• Temperature in warm inflation in non minimal kinetic coupling model
• Numerical study of inflationary preheating with arbitrary power-law potential and a realization of curvaton mechanism
• $\alpha$-Attractors and Reheating in a Non-Minimal Inflationary Model
• Reheating constraints on modified single-field Natural Inflation models
• Using pulsar timing arrays and the quantum normalization condition to constrain relic gravitational waves
• Warm inflation with an oscillatory inflaton in the non-minimal kinetic coupling model
• Issues in Palatini ${\mathcal{R}}^2$ inflation: Bounds on the Reheating Temperature
• Probing the BSM physics with CMB precision cosmology: an application to supersymmetry
• Reheating constraints on K-inflation
• Relic gravitational waves in the frame of slow-roll inflation with a power-law potential and the detection
• Probing new physics with multi-vacua quantum tunnelings beyond standard model through gravitational waves
• Revisit relic gravitational waves based on the latest CMB observations
• Inflaton Effective Potential from Photons for General $\epsilon$
• Tachyon warm inflation with the effects of Loop Quantum Cosmology in the light of Planck 2015
• Reheating constraints on modified quadratic chaotic inflation
• Inflaton Effective Potential from Fermions for General $\epsilon$
• End of the constant-roll inflation, and the reheating temperature
• Primordial cosmic complexity and effects of reheating
• Curvaton reheating in non-minimal derivative coupling to gravity: NO models
• The reheating constraints to natural inflation in Horndeski gravity
• The effective Tolman temperature in curved spacetimes
• Studying G-axion Inflation model in light of PLANCK
• Graviton emission from the brane in the bulk in a model with extra dimension
• Impact of Dark Sector Preheating on CMB Observables
• CMB Constraints on Reheating Models with Varying Equation of State
• The investigation of detectability of the relic gravitational waves based on the WMAP-9 and Planck
• Imprints of relic gravitational waves on pulsar timing
• Precise determination of the inflationary epoch and constraints for reheating
• Unifying inflationary and reheating solution
• The more investigation of inflation and reheating stages based on the Planck and WMAP-9
• Measuring the expansion of the universe
• Particle-antiparticle oscillation modes crossing horizon: baryogenesis and dark-matter waves
• Ekpyrotic Reheating and Fate of Inflaton
• AliCPT Sensitivity to Cosmic Reheating
• K-Essence Induced by Derivative Couplings of the Inflaton
• Model-independent constraints on inflation and reheating
• Reheating study of Mexican-Hat-type Potentials