The question of the ratio of intrinsic color variability of Type Ia supernovae to dust reddening is important for cosmology. Analysis of ZTF DR2 and Foundation DR1 data with the Simple-BayeSN model revealed that the traditional rejection of red objects introduces a selection bias. Accounting for this effect shows that the entire color–brightness correlation is explained by dust, without the need for intrinsic variability. The result is independent of the host galaxy mass or distance from its center. Conclusion: the Tripp linear correction remains empirically correct, but its action is due to dust, not intrinsic supernova properties.
Precise measurement of cosmic distances using Type Ia supernovae underpins the discovery of the accelerated expansion of the Universe and the existence of dark energy. As early as Fritz Zwicky suggested that these explosions could serve as “standard candles,” but their calibration hinges on a mystery: why are redder supernovae systematically dimmer? Two mechanisms vie to explain it—an intrinsic link to the physics of the explosion or external reddening due to cosmic dust in the host galaxy. Disentangling these contributions is critically important for the accuracy of cosmological parameters, including the equation of state of dark energy.
The researchers used the Bayesian hierarchical model Simple-BayeSN, in which the intrinsic color of a supernova is described by a Gaussian distribution, while the reddening from dust follows an exponential distribution, with separate slopes for the correlation with brightness. The analysis relied on two homogeneous samples: ZTF DR2 (902 objects, volume-limited to redshift 0.06) and Foundation DR1. Special attention was given to selection effects: traditional color cuts had distorted the conclusions of past work, so a likelihood renormalization method was developed, allowing for the first time the correct inclusion of the full range of observed colors, including heavily reddened objects. Spectroscopy and photometry were used for object classification.
Key result: the intrinsic “color–brightness” correlation parameter β_int (similar to the parameter in the Tripp standardization) is consistent with zero: –0.36 ± 0.53. Meanwhile, the mean reddening from dust is τ = 0.148 ± 0.006 and its slope with brightness is R_B = 3.26 ± 0.06. The intrinsic color dispersion σ_c,int = 0.038 ± 0.004, which is almost four times smaller than τ. This means the observed “redder–dimmer” correlation is almost entirely dictated by dust, not by the physics of the explosion. Notably, when a standard color cut |c| ≤ 0.3 was artificially imposed, τ was underestimated and β_int increased, reproducing the pattern of earlier studies and pointing to a systematic error in past work.
The obtained results mean that the traditional Tripp linear correction method, widely used in cosmology, retains its empirical validity, but now it should be interpreted as a consequence of dust extinction rather than the intrinsic variability of supernovae. There is no longer a need for complex models with a curved (“banana-shaped”) color–brightness relation predicted in 2017. This is especially important in the context of ongoing debates about systematic errors in measurements of dark energy parameters and the Hubble constant. The pioneering work of Adam Riess on the acceleration of the expansion of the Universe receives strong support from this improved understanding of supernova standardization.
In the coming years, the Vera Rubin Observatory (LSST) will begin delivering enormous samples of supernovae, allowing for even more precise tests of our conclusions. Plans include complicating the model: introducing individual dust extinction laws for each event and testing alternative distributions (Weibull or exponentiated exponential), suggested by radiative transfer simulations. Simulation-based inference, already proven in astrophysics, will be an ideal platform for such analysis.
The results will directly impact the precision of cosmological measurements, particularly the constraints on the equation of state of dark energy and the refinement of the Hubble constant. Moreover, they are important for interstellar medium physics and understanding galaxy evolution, as they demonstrate a strong connection between dust extinction and the properties of host systems.
The next step will be adapting the model for full Bayesian analysis at the level of light curves, not just summary parameters, and jointly processing data on supernovae and their host galaxies, allowing for a deeper separation of environmental and intrinsic effects.
This research is directly connected to key unsolved problems in physics: the nature of dark energy, systematic uncertainties in “standard candles” affecting the measurement of the expansion rate of the Universe, and the physics of cataclysmic explosions of white dwarfs exceeding the Chandrasekhar limit, first calculated by Subrahmanyan Chandrasekhar.
🎯 Interestingly, dust, which is a nuisance to astronomers, turned out to be not just an annoying obstacle but the main character in cosmic measurements. Without it, we might still not know about the acceleration of the Universe!