Calibrating the effective magnitudes of type Ia supernovae with a model-independent method

Abstract

This research explores the correlation between the absolute magnitude and the redshift of Type Ia supernovae (SNe Ia) with a model-independent approach. The Pantheon sample of SNe Ia and strong gravitational lensing systems (SGLS) are used. With the cosmic distance-duality relation (CDDR), the evolution parameter of the magnitude, the light curve parameters of SNe Ia, and the parameters of the SGLS geometric model are constrained simultaneously. Considering the consistency of the redshifts, we selected a subsample of SNe Ia in which the redshift of each SNe Ia is close to the corresponding redshift of the SGLS sample. Two parametric models are used to describe this evolution, which can be written as ${\delta }_M=\epsilon z$ and ${\delta }_M=\epsilon \log (1+z)$, respectively. Our analysis reveals that $\epsilon =-0.036_{-0.339}^{+0.357}$ in the first parametric model and $\epsilon =-0.014_{-0.630}^{+0.588}$ in the second model, indicating that no significant evolution ($\epsilon =0$) is supported at the 1$\sigma$ confidence level in this study. These results represent a significant advancement in our understanding of the intrinsic properties of SNe Ia and provide important constraints for future SNe Ia study.

arXiv comment8 pages, 2 figures, Accepted by Physical Review D

References in corpus (50)

• emcee: The MCMC Hammer
• Planck 2015 results. XIII. Cosmological parameters
• The Complete Light-curve Sample of Spectroscopically Confirmed Type Ia Supernovae from Pan-STARRS1 and Cosmological Constraints from The Combined Pantheon Sample
• Improved cosmological constraints from a joint analysis of the SDSS-II and SNLS supernova samples
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Measurements of the Cosmological Parameters Omega and Lambda from the First 7 Supernovae at z >= 0.35
• SALT2: using distant supernovae to improve the use of Type Ia supernovae as distance indicators
• Improved Distances to Type Ia Supernovae with Multicolor Light Curve Shapes: MLCS2k2
• The Reddening-Free Decline Rate Versus Luminosity Relationship for Type Ia Supernovae
• A Precise Distance Indicator: Type Ia Supernova Multicolor Light Curve Shapes
• Prospects for probing the dark energy via supernova distance measurements
• The Observed Growth of Massive Galaxy Clusters I: Statistical Methods and Cosmological Constraints
• Cosmic distance-duality as probe of exotic physics and acceleration
• Probing the dark side: Constraints on the dark energy equation of state from CMB, large scale structure and Type Ia supernovae
• Cosmology with Strong Lensing Systems
• Testing the Distance-Duality Relation with Galaxy Clusters and Type Ia Supernovae
• New test of the FLRW metric using the distance sum rule
• The redshift distribution of gravitational lenses revisited: Constraints on galaxy mass evolution
• Cosmological-model-independent tests for the distance-duality relation from Galaxy Clusters and Type Ia Supernova
• Cosmic Distance Duality Relation and the Shape of Galaxy Clusters
• Early-type Host Galaxies of Type Ia Supernovae. II. Evidence for Luminosity Evolution in Supernova Cosmology
• A test for cosmic distance duality
• Consistency among distance measurements: transparency, BAO scale and accelerated expansion
• Is cosmic acceleration proven by local cosmological probes?
• Morphology of Galaxy Clusters: A Cosmological Model-Independent Test of the Cosmic Distance-Duality Relation
• Testing the cosmic distance duality with X-ray gas mass fraction and supernovae data
• Model-independent determination of $H_0$ and ${\Omega }_{K0}$ from strong lensing and type Ia supernovae
• Observational Cosmology And The Cosmic Distance Duality Relation
• Cosmic Equation of state from Strong Gravitational Lensing Systems
• Measuring Dark Energy with Gamma-Ray Bursts and Other Cosmological Probes
• Transiting Planet Candidates Beyond the Snow Line Detected by Visual Inspection of 7557 Kepler Objects of Interest
• High-redshift cosmography: Application and comparison with different methods
• Testing the Distance-Duality Relation with a Combination of Cosmological Distance Observations
• Testing dark energy models with a new sample of strong-lensing systems
• Probing cosmic opacity at high redshifts with gamma-ray bursts
• Cosmological parameter extraction and biases from type Ia supernova magnitude evolution
• The cosmic distance duality relation with strong lensing and gravitational waves: an opacity-free test
• Cosmic opacity: cosmological-model-independent tests and their impacts on cosmic acceleration
• Constraining $H_0$ from Sunyaev-Zel'dovich effect, Galaxy Clusters X-ray data, and Baryon Oscillations
• Impulsively Generated Wave Trains in Coronal Structures: I. Effects of Transverse Structuring on Sausage Waves in Pressureless Tubes
• Quantifying systematic uncertainties in supernova cosmology
• Testing the Distance-Duality Relation in the $R_h=ct$ Universe
• A Distance-Deviation Consistency and Model-Independent Method to Test the Cosmic Distance-Duality Relation
• Constraints on a possible evolution of mass density power-law index in strong gravitational lensing from cosmological data
• Estimating the uncorrelated dark energy evolution in the Planck era
• No evidence for the evolution of mass density power-law index $\gamma$ from strong gravitational lensing observation
• Model-independent measurement of the absolute magnitude of Type Ia Supernovae with gravitational-wave sources
• Calibrating the standard candles with strong lensing
• Exploring the possible evolution of the mass density power-law index of strong gravitational lenses with a model-independent method
• A comparison of cosmological models with high-redshift quasars