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Towards a resolution of the discrepancy between different estimators of star formation rate

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 Added by Andrew Hopkins
 Publication date 2001
  fields Physics
and research's language is English
 Authors A. M. Hopkins




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To compute the SFR of galaxies from the rest-frame UV it is essential to take into account the obscuration by dust. To do so, one of the most popular methods consists in combining the UV with the emission from the dust itself in the IR. Yet, different studies have derived different estimators, showing that no such hybrid estimator is truly universal. In this paper we aim at understanding and quantifying what physical processes drive the variations between different hybrid estimators. Doing so, we aim at deriving new universal UV+IR hybrid estimators to correct the UV for dust attenuation, taking into account the intrinsic physical properties of galaxies. We use the CIGALE code to model the spatially-resolved FUV to FIR SED of eight nearby star-forming galaxies drawn from the KINGFISH sample. This allows us to determine their local physical properties, and in particular their UV attenuation, average SFR, average specific SFR (sSFR), and their stellar mass. We then examine how hybrid estimators depend on said properties. We find that hybrid UV+IR estimators strongly depend on the stellar mass surface density (in particular at 70 and 100 micron) and on the sSFR (in particular at 24 micron and the TIR). Consequently, the IR scaling coefficients for UV obscuration can vary by almost an order of magnitude. This result contrasts with other groups who found relatively constant coefficients with small deviations. We exploit these variations to construct a new class of hybrid estimators based on observed UV to near-IR colours and near-IR luminosity densities per unit area. We find that they can reliably be extended to entire galaxies. The new estimators provide better estimates of attenuation-corrected UV emission than classical hybrid estimators. Naturally taking into account the variable impact of dust heated by old stellar populations, they constitute a step towards universal estimators.
(Abridged) The observational determination of the behaviour of the star formation rate (SFR) with look-back time or redshift has two main weaknesses: 1- the large uncertainty of the dust/extinction corrections, and 2- that systematic errors may be introduced by the fact that the SFR is estimated using different methods at different redshifts. To assess the possible systematic differences among the different SFR estimators and the role of dust, we have compared SFR estimates using H$alpha$, SFR(H$alpha$), [OII]$lambda$3727AA, SFR(OII), UV, SFR(UV) and FIR, SFR(FIR) luminosities of a sample comprising the 31 nearby star forming galaxies having high quality photometric data in the UV, optical and FIR. We review the different standard methods for the estimation of the SFR and find that while the standard method provides good agreement between SFR(H$alpha$) and SFR(FIR), both SFR(OII) and SFR(UV) are systematically higher than SFR(FIR), irrespective of the extinction law. We show that the excess in the SFR(OII) and SFR(UV) is mainly due to an overestimate of the extinction resulting from the effect of underlying stellar Balmer absorptions in the measured emission line fluxes. Taking this effect into consideration in the determination of the extinction brings the SFR(OII) and SFR(UV) in line with the SFR(FIR) and simultaneously reduces the internal scatter of the SFR estimations. Based on these results we have derived unbiased SFR expressions for the SFR(UV), SFR(OII) and SFR(H$alpha$). We have used these estimators to recompute the SFR history of the Universe using the results of published surveys.
The [OII]3727 emission line is frequently used as an indicator of the star formation rate (SFR) despite its complex dependence on metallicity and excitation conditions. We have analysed the properties of the [OII] and Halpha emission lines for a complete sample of local Halpha-selected galaxies, the Universidad Complutense de Madrid (UCM) survey. We find a large scatter in the [OII]/Halpha line ratios, although the scatter in the extinction-corrected [OII]^0/Halpha^0 ratio is considerably smaller. We also find that the [OII]/Halpha ratios are reasonably well correlated with the absolute B- and K-band magnitudes and with EW([OII]). However, the extinction-corrected [OII]^0/Halpha^0 ratio is largely independent of these quantities, indicating that extinction is the main driver of the correlations. These correlations allow us to statistically predict--with varying degrees of accuracy--the observed and extinction-corrected Halpha fluxes from the observed [OII] flux using the information contained in EW([OII]) and/or the absolute magnitudes, but extreme caution is needed to make sure that the sample selection effects are correctly taken into account.
The core collapse supernova (CCSN) rate provides a strong lower limit for the star formation rate (SFR). Progress in using it as a cosmic SFR tracer requires some confidence that it is consistent with more conventional SFR diagnostics in the nearby Universe. This paper compares standard SFR measurements based on Halpha, FUV and TIR galaxy luminosities with the observed CCSN rate in the same galaxy sample. The comparison can be viewed from two perspectives. Firstly, by adopting an estimate of the minimum stellar mass to produce a CCSN one can determine a SFR from SN numbers. Secondly, the radiative SFRs can be assumed to be robust and then the SN statistics provide a constrain on the minimum stellar mass for CCSN progenitors. The novel aspect of this study is that Halpha, FUV and TIR luminosities are now available for a complete galaxy sample within the local 11Mpc volume and the number of discovered SNe in this sample within the last 13 years is high enough to perform a meaningful statistical comparison. We exploit the multi-wavelength dataset from 11HUGS, a volume-limited survey designed to provide a census of SFR in the local Volume. Assuming a lower limit for CCSN progenitors of 8 Msun, the CCSN rate matches the SFR from the FUV luminosity. However the SFR based on Halpha luminosity is lower than these two estimates by a factor of nearly 2. If we assume that the FUV or Halpha based luminosities are a true reflection of the SFR, we find that the minimum mass for CCSN progenitors is 8 +/- 1 Msun, and 6 +/- 1 Msun, respectively. The estimate of the minimum mass for CCSN progenitors obtained exploiting FUV data is in good agreement with that from the direct detection of CCSN progenitors. The concordant results by these independent methods point toward a constraint of 8 +/- 1 Msun on the lower mass limit for progenitor stars of CCSNe.
We derive the stacked 1.4 GHz flux from FIRST (Faint Images of the Radio Sky at Twenty Centimeters) survey for 811 K+A galaxies selected from the SDSS DR7. For these objects we find a mean flux density of $56pm 9$ $mu$Jy. A similar stack of radio-quiet white dwarfs yields an upper limit of 43 $mu$Jy at a 5$sigma$ significance to the flux in blank regions of the sky. This implies an average star formation rate of 1.6 $pm$ 0.3 M$_{odot}$ year$^{-1}$ for K+A galaxies. However the majority of the signal comes from $sim$4% of K+A fields that have aperture fluxes above the $5sigma$ noise level of the FIRST survey. A stack of the remaining galaxies shows little residual flux consistent with an upper limit on star formation of 1.3 M$_{odot}$ year$^{-1}$. Even for a subset of 456 `young (spectral ages $<$ 250 Myr) K+A galaxies we find that the stacked 1.4 GHz flux is consistent with no current star formation. Our data suggest that the original starburst has been terminated in the majority of K+A galaxies, but that this may represent part of a duty cycle where a fraction of these galaxies may be active at a given moment with dusty starbursts and AGNs being present.
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