Making Cosmologyʼs Best Standard Candles Even Better
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1 Making Cosmologyʼs Best Standard Candles Even Better The Nearby Supernova Factory and Spectrophotometric Observations of SNe Ia Stephen Bailey LPNHE, Paris for the Nearby Supernova Factory Deciphering the Universe through Spectroscopy Potsdam 22 September 2009 G. Aldering 2, P. Antilogus 1, C. Aragon 2, S.B. 1, C. Baltay 3, S. Bongard 1, C. Buton 4, M. Childress 2, N. Chotard 4, Y. Copin 4, D. Fouchez 6, E. Gangler 4, M. Kowalski 7, S. Loken 2, P. Nugent 2, K. Paesch 7, R. Pain 1, E. Pecontal 5, R. Pereira 4, S. Perlmutter 2, D. Rabinowitz 3, G. Rigaudier 5, P. Ripoche 1, K. Runge 2, R. Scalzo 3, G. Smadja 4, H. Swift 2, C. Tao 6, R.C. Thomas 2, C. Wu 1, J. Zylberberg 2 1 LPNHE (Paris), 2 LBL (Berkeley), 3 Yale (New Haven), 4 IPNL (Lyon), 5 CRAL (Lyon), 6 CPPM (Marsaille), 4 Universität Bonn
2 Overview SNe Ia were original method to discover dark energy Power comes from the ability to standardize their luminosities Better standardization = Better cosmology constraints This talk: new ways to standardize them with more accuracy Outline Background Cosmology measurements with SNe Ia The Nearby Supernova Factory Classic methods to standardize SNe Ia Spectral flux ratios Other spectral metrics Conclusions 2
3 Cosmology with Luminosity Distance dl(z) is a function of the cosmology Flux = L 4πd 2 L 5 log 10 dl + const MLCS2k2 fitted distance modulus (mag) nearby (JRK07) 103 SDSS-II (this paper) 56 ESSENCE (WV07) 62 SNLS (Astier06) 34 HST (Riess07) Kessler et al (SDSS) redshift (actually a fit to a different Hubble Diagram dataset, but a prettier plot) 3
4 Type Ia Supernovae What you need to measure luminosity distance dl: Very bright objects Uniformly bright objects Type Ia Supernova Thermonuclear runaway when white-dwarf accretes to Chandrasekhar mass Uniform starting conditions = (almost) uniform luminosity Can be as bright as host 4
5 Standardizable Candles Variations in peak magnitude correlate with other observables: Color c: bluer = brighter Shape x1: broader = brighter Correct observed peak mag using x1, c mb mb + αx1 - βc Color: E(B-V) color mb: Peak magnitude in restframe B-band Shape x1: Lightcurve shape/width parameter 5
6 Standardizable Candles Broader = Brighter Correct for stretch Peaks agree within ~15% S. Perlmutter, Physics Today, April 2003, p. 54 6
7 SN Cosmology Fitting Peak mag shape & color m B M + αx 1 βc 5 log 10 [d L (z; θ)] Normalization Standardization factors Luminosity distance depends on cosmology parameters θ: Ωm, ΩΛ, w,... Best fit with dark energy No dark energy Hicken et al
8 SN Cosmology Fitting Hicken et al 2009 Best fit with dark energy No dark energy 1 2 Cosmology constraints come from comparison of nearby and distant supernovae Why weʼre the Nearby Supernova Factory: currently low-z sample is limiting factor Better standardization = Better cosmology constraints The focus of this talk 8
9 Nearby Supernova Factory 1. Discover Palomar Nightly NERSC Search ended Sept 2008; >1000 SNe discovered in 28 months of searching 185 followed in detail, 0.02 < z < 0.09 Ref New New-Ref = ~10-7 of the area observed per night 3. Analyze 2. Observe SNIFS UH 2.2-m Every 2-3 nights Custom, unique spectrometer designed for nearby SN obs 9
10 SuperNova Integral Field Spectrometer (SNIFS) Photometric Channel Microlens array to two channel spectrograph 15x15 = 225 spectra R channel: Galaxy + Sky Extinction monitoring, calibration Acquisition, Guiding SN + Galaxy + Sky Pick-off Prism at SN loc Sky 9.4ʼ x 9.4ʼ FOV; 0.14 /pix Every obs: flux calibrated spectra, , nm coverage 6 x 6 FOV; 0.4 /spaxel On UH 2.2m on Mauna Kea; SNfactory uses every 2-3 nights for ~9 months/year Hard work... SN 10 12
11 Spectrophotometry From Spectra to Lightcurves synthetic photometry of SN2005el Slides: Rui Pereira 11
12 Spectrophotometry From Spectra to Lightcurves synthetic photometry of SN2005el Slides: Rui Pereira 11
13 Spectrophotometry From Spectra to Lightcurves synthetic photometry of SN2005el Slides: Rui Pereira 11
14 Spectrophotometry From Spectra to Lightcurves synthetic photometry of SN2005el Slides: Rui Pereira 11
15 Spectrophotometry From Spectra to Lightcurves synthetic photometry of SN2005el Slides: Rui Pereira 11
16 Spectrophotometry From Spectra to Lightcurves synthetic photometry of SN2005el Slides: Rui Pereira 11
17 Spectrophotometry From Spectra to Lightcurves synthetic photometry of SN2005el Slides: Rui Pereira 11
18 Spectrophotometry From Spectra to Lightcurves synthetic photometry of SN2005el One spectrum per point / night Synthesizable in any filter Lightcurves + spectral features Slides: Rui Pereira 11
19 Motivations for Spectrophotometry S-corrections K-corrections Relative Flux (F! ) Kowalski et al Wavelength (Å) Info for models etc. vs 12
20 Two Classic Corrections Classic corrections Δμorig ½= color Color: Bluer = Brighter Lightcurve shape: Broader = Brighter ~40% ~16 20% scatter Can we do better with spectral info? Search correlations of features with residuals ½= 0.68 Δμorig - βc 40% 16% x1 13
21 Previous Spectral Metrics Absorption Ratios e.g. RSi 1 4 Pseudo-Equivalent Widths / fractional absorption area e.g. EW(SiII 6355) Flux Ratios e.g. RSiS 2 Feature Velocities e.g. vsi 3 14
22 Generalized Flux Ratios Spectra sorted by SALT color Normalized flux + offset SNF SN2007bd SNF SNF SNF SNF SNF SNF SNF SNF SNF SNF SNF SN2005hc SNF SN2006dm SNF SNF SNF SN2007kk SNF SNF SNF SNF SNF SNF SNF SNF SNF Wavelength [A] Consider all flux ratio combos, not just ratios of known peaks Search for correlations with uncorrected Hubble residuals SNfactory spectra Flux calibrated to standard stars Smooth Hubble flow minimal peculiar velocity or cosmo uncertainties Within ±2.5 days of peak brightness Training and Validation Datasets Search with training set (28 SNe) Cross check w/ validation set (30 SNe) Minimizes bias and confirms results 15
23 Training Set ρ = 0.94 Flux Ratio Correlations Bailey et al 2009, A&A Letters, arxiv Lower diagonal: Decolor spectra before forming ratios Statistically Significant Develop method and pick ratios based upon training sample Then look at validation sample 16
24 Training Set ρ = 0.94 Flux Ratio Correlations Bailey et al 2009, A&A Letters, arxiv Validation Set ρ = 0.96 Lower diagonal: Decolor spectra before forming ratios Statistically Significant Correlations Develop method and pick ratios Stronger based upon than training color or sample stretch Selected only from training sample Then look at validation sample Confirmed by validation sample 16
25 Nearby Hubble Diagram Uncorrected σ = 0.40 mag 17
26 Nearby Hubble Diagram SALT2 corrects mag What if we fit with R643/442 instead? SALT2 µb = (mb M) Uncorrected + αx1 - βc σ = σ = 0.40 mag mag σcore = mag 17
27 Nearby Hubble Diagram SALT2 µb = (mb M) Uncorrected + αx1 - βc σ = σ = 0.40 mag mag σcore = mag SALT2 corrects mag What if we fit with R643/442 instead? Flux Ratios µb = (mb M) + γr σ = mag σcore = mag Flux Ratios standardize SNe Ia better than x1 and c combined Bailey et al 2009 Accepted by A&A Letters arxiv: Hubble Residuals Sample R642/443 x1, c Training Validation All
28 Hubble Residuals Bailey et al 2009, A&A Letters, arxiv Single parameter correction: Better at correcting red and peculiar SNe σ = 0.13 Combined with color: σ = 0.12 Traditional method (SALT2) σ = 0.16 σ = : statistically equivalent to having 1.8x as many SNe Better for oddballs: better systematics control 18
29 Literature SNe Comparison Bailey et al 2009, A&A Letters, arxiv Literature SNe from Matheson, with photometry from Jha and Hicken Overall, supports our results within the resolution of the data One outlier (99cl) known to be unusual: Very heavily reddened Time variable sodium absorption Very low RV value 19
30 Related Work: vsi and Color Bright Magnitude Dim Brighter = Bluer but what slope? Blue Color Red Slope of color correction related to Si velocity vsi Separating high/normal vsi significantly improves scatter ( mag) 99cl is in high vsi set X. Wang et al ApJ Letters, arxiv: Improved distances to Type Ia Supernovae with Two Spectroscopic Subclasses vsi 20
31 Traditional corrections applied to the luminosity are stretch and color, with # and $ tuned to minimize the residuals to the cosmological fit to the data.! Color cut Classic Metric Studies corr M = M α x1 β etc.) c b Complete study underway of classic metrics (RSib,+EW(4000), Ability to standardize SNe Ia! Spectral correction can be applied in a same way Here, example of EWSiII4000 to show the power o Covariance with each other and stretch and color the with indicators. Example: EW(SiII 4000) Hubble Residual se Color cut c& c& Correction None c & x1 EWSiII None c & x1 EWSiII EWSiII4000"s correlations with Color Cut Hubble residuals and x1 increase after the color cut (see table).! RMS nmad Standard deviation and normalized median absolute deviation. EWSiII4000 is independant of color and a good proxy for x1.! After EW(Si color IIcut, EWSiII ) + Color is an excellent candidate to estimate part of the SN competitive with intrinsic x1 + Color Ia variability and replace the x1 parameter. (cp Bronder EW alone) Nicolas=Chotard R642/443 F (642 nm)/f (443 nm) SNfactory Corrected Preliminary Hubble residuals EW(SiII 4000) Please do not reproduce without asking; we may have updated results... 21
32 K-correctionless Hubble Diagram Synthesize photometry on a redshift-dependent filter-set One filter integrates the same spectral range on all SNe Minimize systematic errors due to the light curve fitter spectral model (SALT2) Normalized flux z = 0.03 B SNf V SNf R SNf z=0.03 Normalized flux z = 0.08 B SNf V SNf R SNf z= Wavelength (Å) 10 4 (74 SNe) standard SALT2 no K-correction Δσ σcore (mag) SNe Ia σint (mag) SNfactory Preliminary Please do not reproduce without asking; we may have updated results... Rui Pereira 22
33 Deciphering the Universe through Spectroscopy Entering new era of understanding SNe Ia Driven by spectral measurements Standard methods: 8 10% accuracy on distance Flux Ratios can calibrate to ~6% using a single spectrum First spectral method with robust improvements over standard methods Bailey et al 2009, A&A Letters, arxiv vsi grouping improves standard corrections to similar level Better statistical power, better systematics control Need high-z programs to match Julien Guy (SuperNova Legacy Survey): We donʼt need more supernovae, we need better supernovae Spectral measurements are providing that 23
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