We combine the CfA3 supernova Type Ia (SN Ia) sample with samples from the literature to calculate improved constraints on the dark energy equation of state parameter, w. The CfA3 sample is added to the Union set of Kowalski et al. (2008) to form the Constitution set and, combined with a BAO prior, produces 1 + w = 0.013 +0.066 −0.068 (0.11 syst), consistent with the cosmological constant. The CfA3 addition makes the cosmologically-useful sample of nearby SN Ia between 2.6 and 2.9 times larger than before, reducing the statistical uncertainty to the point where systematics play the largest role. We use four light curve fitters to test for systematic differences: SALT, SALT2, MLCS2k2 (R V = 3.1), and MLCS2k2 (R V = 1.7). SALT produces high-redshift Hubble residuals with systematic trends versus color and larger scatter than MLCS2k2. MLCS2k2 overestimates the intrinsic luminosity of SN Ia with 0.7 < ∆ < 1.2. MLCS2k2 with R V = 3.1 overestimates host-galaxy extinction while R V ≈ 1.7 does not. Our investigation is consistent with no Hubble bubble. We also find that, after lightcurve correction, SN Ia in Scd/Sd/Irr hosts are intrinsically fainter than those in E/S0 hosts by 2σ, suggesting that they may come from different populations. We also find that SN Ia in Scd/Sd/Irr hosts have low scatter (0.1 mag) and equation of state, p = wρ, where the equation of state parameter, w, relates the dark energy density, ρ, to the dark energy pressure, p. In a Friedman universe, ρ depends on 1 + w and the scale factor of the universe, a, as ρ ∼ a −3(1+w) . The first question that arises is whether the dark energy density is constant (1 + w = 0, a cosmological constant) or not. We choose to use the notation, 1 + w, since it is then easier to think about values of w larger than −1 (1 + w > 0) or more negative than −1 (1 + w < 0). In the case of 1 + w < 0 the dark energy grows in density as the universe expands! The second question is whether the dark energy properties, as described by w, are constant in time or not.The first study on the equation of state produced a 95%-confidence limit of 1 + w < 0.3, assuming Ω M ∼ 0.2 and zero possibility of 1 + w < 0 (Garnavich et al. 1998). Knop et al. (2003) found 1 + w = −0.05 +0.15 −0.20 . Riess et al. (2005) reported 1 + w = −0.02 +0.13 −0.19 . The SNLS and ESSENCE surveys were designed to narrow the constraints on 1+w and their first reports showed significant improvement in statistical uncertainty over the previous values, bringing them down to the range where systematic uncertainties,which they try to reduce as well, are of roughly equal importance. Astier et al. (2006, A06, hereafter) found 1 + w = −0.02 ± 0.09 while Wood-Vasey et al. (2007, WV07, hereafter) found 1+w = −0.07±0.09. Most recently, Kowalski et al. (2008) (K08, hereafter) made a compilation of the literature SN Ia, plus several new nearby ones that they present, and found 1 + w = −0.01 ± 0.08 when using the same priors as A06 and WV07. All of these studies are consistent with a cosmological constant. On the time-evolution...

We present constraints on the dark energy equation-of-state parameter, w ¼ P/( c 2 ), using 60 SNe Ia from the ESSENCE supernova survey. We derive a set of constraints on the nature of the dark energy assuming a flat universe. By including constraints on ( M , w) from baryon acoustic oscillations, we obtain a value for a static equation-of-state parameter w ¼ À1:05 þ0:13 À0:12 (stat 1 ) AE 0:13 (sys) and M ¼ 0:274 þ0:033 À0:020 (stat 1 ) with a bestfit 2 /dof of 0.96. These results are consistent with those reported by the Supernova Legacy Survey from the first year of a similar program measuring supernova distances and redshifts. We evaluate sources of systematic error that afflict supernova observations and present Monte Carlo simulations that explore these effects. Currently, the largest systematic with the potential to affect our measurements is the treatment of extinction due to dust in the supernova host galaxies. Combining our set of ESSENCE SNe Ia with the first-results Supernova Legacy Survey SNe Ia, we obtain a joint constraint of w ¼ À1:07 þ0:09 À0:09 (stat 1 ) AE 0:13 (sys), M ¼ 0:267 þ0:028 À0:018 (stat 1 ) with a best-fit 2 /dof of 0.91. The current global SN Ia data alone rule out empty ( M ¼ 0), matter-only M ¼ 0:3, and M ¼ 1 universes at >4.5 . The current SN Ia data are fully consistent with a cosmological constant.

From Sloan Digital Sky Survey u' g' r' i' z' imaging, we estimate the stellar masses of the host galaxies of 70 low redshift SN Ia (0.015 < z < 0.08) from the hosts' absolute luminosities and mass-to-light ratios. These nearby SN were discovered largely by searches targeting luminous galaxies, and we find that their host galaxies are substantially more massive than the hosts of SN discovered by the flux-limited Supernova Legacy Survey. Testing four separate light curve fitters, we detect ∼2.5σ correlations of Hubble residuals with both host galaxy size and stellar mass, such that SN Ia occurring in physically larger, more massive hosts are ∼10% brighter after light curve correction. The Hubble residual is the deviation of the inferred distance modulus to the SN, calculated from its apparent luminosity and light curve properties, away from the expected value at the SN redshift. Marginalizing over linear trends in Hubble residuals with light curve parameters shows that the correlations cannot be attributed to a light curve-dependent calibration error. Combining 180 higher-redshift ESSENCE, SNLS, and HigherZ SN with 30 nearby SN whose host masses are less than 10 10.8 M in a cosmology fit yields 1 + w = 0.22−0.108 , while a combination where the 30 nearby SN instead have host masses greater than 10 10.8 M yields 1 + w = −0.03−0.143 . Progenitor metallicity, stellar population age, and dust extinction correlate with galaxy mass and may be responsible for these systematic effects. Host galaxy measurements will yield improved distances to SN Ia.