Testing cosmology with the DES 5-year supernovae dataset

Title: The Dark Energy Survey: Cosmology Results With ∼ 1500 New High – redshift Type Ia Supernovae Using The Full 5-year Dataset

Authors: DES Collaboration: T. M. C. Abbott, M. Acevedo, M. Aguena et al 

First author institution: The Cerro Tololo Inter-American Observatory, La Serena, Chile 

Status: submitted to The Astrophysical Journal (ApJ), arXiv 

The Dark Energy Survey (DES) Collaboration is an international team of scientists that aims to measure and understand the nature of an elusive energy density component in the Universe, Dark Energy. The DES survey was conducted using the 4 metre Blanco Telescope at the Cerro Tololo Inter-American Observatory in Chile, and took observations from 2013-2019. The survey used a special camera, called DECam. DECam has a wide-field-of-view (about 14 times the size of the moon in the sky), allowing for detection of galaxies over a large sky area. It also allows for sensitive measurements of the redshifted light from these galaxies with a 570-megapixel camera with 74 CCDs with minimal ‘readout noise’ in the measurements. This paper specifically focuses on the results of the DES supernova survey (more about their other survey data can be seen here), which was designed to test cosmology with a large sample of supernovae observations. 

In 1998, two teams of scientists measuring the brightness of supernovae unexpectedly discovered anomalously faint supernovae at specific times in the earlier Universe, indicating that the Universe is accelerating in its expansion (they got a Nobel Prize for this discovery). Before 1998, cosmologists believed in three possibilities for future expansion of the Universe. These were that it would either stop and reverse (resulting in a collapse), it would come to a halt (resulting in a static Universe), or that it would reach a constant expansion rate – as they assumed the Universe only consisted of matter being influenced by gravity and radiation.

The discovery of an accelerating expansion changed this. Type Ia Sne have a standard brightness, which allows us to determine their distance based on how faint they look in a telescope. We can also measure the redshift of supernovae from spectra, which can be compared to predictions from cosmological models that relate the redshifting of the light to the Universe’s expansion rate over time and how far the light has travelled. Thus, we can plot the observed redshifts of the Sne against their distance (from the measurements of their brightness). This plot is known as a Hubble diagram and can be used to fit a cosmological model. In today’s paper, the DES Collaboration has done exactly this to test cosmological models. This time however, instead of only 52 Supernovae that the discoverers of dark energy had in 1998, there are 1635 in the DES 5-year dataset – over 30 times more! 

Figure 1: Figure 4 from the paper, showing the Hubble diagram of the DES Sne from the 5 year sample (blue points) and the external data (orange points) used in the analysis. The lower panel shows the difference from the measured and theoretical distance moduli for the best fit to a time-varying dark energy model.

Lighting the way with the Universe’s candles

The 1635 supernovae found and used by DES (after quality cuts) cover redshifts greater than z~0.1 so 194 Type Ia Sne from samples external to DES are included in the data analysis to cover low redshifts (see Figure 1). In total, this resulted in an analysis of 1829 Sne. Part of the cuts to the data involved removing Sne contaminants – transients that look like Sne Ia, but might actually be something else. In order to distinguish the Type Ia Sne and contaminants, two machine learning classifiers were used; they were trained on simulated Type Ia Sne or a Type II (core collapse) light curves (see more about different supernova classification in this bite and Type Ia light curves here). Sne can be classified using spectroscopy, but in the DES analysis the machine learning classifies them using multi-band photometry. This is akin to low-resolution spectroscopy, as the flux from the Sne is measured in a few different filters, instead of many different wavelengths. This approach allowed DES to observe many more Sne than before in their survey. The classifiers gave the Sne a probability of being a Type Ia, as shown in Figure 1 above, and these probabilities were used as weights in the model fitting analysis. To remove human bias in the analysis, the pipelines used were tested on blinded data – that is, the data was made to look different deliberately. This allows for one to ensure the pipeline works well and that those completing the analysis do not introduce bias towards an expected result.

Hints of time-varying dark energy? 

In the standard model of cosmology, \Lambda CDM, dark energy is assumed to have a constant energy density – AKA a cosmological constant. This has been favoured by DES data previously. Furthermore, the results from measurements of the Cosmic Microwave Background by the Planck space mission have preferred this, and a \Lambda CDM model with zero curvature – that is to say, the Universe has a flat geometry meaning that two parallel beams of light will stay parallel as they propagate through spacetime. If the Universe has a curved geometry, the beams can eventually diverge or cross-over (see more description here). However, the DES collaboration tests the data with various models; standard \Lambda CDM, a ‘flat’ \Lambda CDM (zero curvature is assumed), and two time varying dark energy models (also with the flat assumption).

The tests on the DES data alone and with combinations of external data for standard \Lambda CDM and flat \Lambda CDM, find results consistent with those found previously for the matter density of the Universe and the curvature – the fitted values are equal to those found previously by Planck within ~95% confidence bounds.

Figure 2: Figure 8 from the paper, showing contours (best fit regions in the parameter space) and likelihoods (conditional probability distributions for the fits the parameters) for the fits to the matter density, \Omega_m, and dark energy equation of state parameters, for the w_0w_aCDM model. The different coloured contours and likelihoods represent the different data combinations indicated by the legend.

However, the story changes slightly for the time-varying dark energy models. In the first, wCDM allows dark energy to vary over time letting the equation of state parameter, w, varies as a free parameter instead of being fixed to w = -1. In the second model, w_0w_aCDM, the equation of state is modelled with a redshift dependence. One should find in the first model, w = -1, or in the second model, w_0 = -1 and w_a = -1 to be consistent with a cosmological constant dark energy. These constraints are not exactly favoured by the DES data and combinations, as shown by the figure below.

There is a marginal preference for a time-varying equation of state as shown by the results above – the data prefers this over a model with a cosmological constant with ~95% confidence – just over 2σ. The best fits from the combination of Planck, DES and eBOSS find w = -0.773^{+0.075}_{-0.067}, w_a = -0.83^{+0.033}_{-0.042} for the w_0w_aCDM. The best fit for wCDM is w = -0.941 \pm 0.026.

While we can’t confidently state from these results that dark energy must be time varying, these results here could be a hint at new physics to be discovered by cosmology in the future – but only further analysis and data can tell. 

Edited by Kylee Carden

Featured image: Cerro Tololo Inter-American Observatory, CCA BY 4.0, https://commons.wikimedia.org/wiki/File:Cerro_Tololo_Inter-American_Observatory_(CTIO_20120706_Panorama_Tololo_2_DMunizaga-CC).jpg via Wikimedia Commons 

About Abbé Whitford

I am a third year PhD student at the University of Queensland, studying Large Scale Structure cosmology with galaxy clustering and peculiar velocities, and using Large Scale Structure to measure the properties of neutrinos. In my spare time I like to train BJJ, play with pets, and I enjoy travelling.

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