Far-Infrared Photometric Redshifts: A New Approach to a Highly Uncertain Enterprise. (arXiv:2007.11012v1 [astro-ph.GA])
<a href="http://arxiv.org/find/astro-ph/1/au:+Casey_C/0/1/0/all/0/1">Caitlin M. Casey</a> (University of Texas at Austin)

I present a new approach at deriving far-infrared photometric redshifts for
galaxies based on their reprocessed emission from dust at rest-frame
far-infrared through millimeter wavelengths. Far-infrared photometric redshifts
(“FIR-$z$”) have been used over the past decade to derive redshift constraints
for highly obscured galaxies that lack photometry at other wavelengths like the
optical/near-infrared. Most literature FIR-z fits are performed through
$chi^2$minimization to a single galaxy’s far-infrared template spectral energy
distribution (SED). The use of a single galaxy template, or modest set of
templates, can lead to an artificially low uncertainty estimate on FIR-$z$’s
because real galaxies display a wide range in intrinsic dust SEDs. I use the
observed distribution of galaxy SEDs (for well-constrained samples across
$0<z<5$) to motivate a new far-infrared through millimeter photometric redshift
technique called MMpz. The MMpz algorithm asserts that galaxies are most likely
drawn from the empirically observed relationship between rest-frame peak
wavelength, $lambda_{rm peak}$, and total IR luminosity, L$_{rm IR}$; the
derived photometric redshift accounts for the measurement uncertainties and
intrinsic variation in SEDs at the inferred L$_{rm IR}$, as well as heating
from the CMB at $z>5$. The MMpz algorithm has a precision of $sigma_{Delta
z/(1+z)}approx0.3-0.4$, similar to single-template fits, while providing a
more accurate estimate of the FIR-$z$ uncertainty with reduced chi-squared of
order $mathcal{O}(chi^2_{nu})=1$, compared to alternative far-infrared
photometric redshift techniques (with
$mathcal{O}(chi^2_{nu})approx10-10^{3}$).

I present a new approach at deriving far-infrared photometric redshifts for
galaxies based on their reprocessed emission from dust at rest-frame
far-infrared through millimeter wavelengths. Far-infrared photometric redshifts
(“FIR-$z$”) have been used over the past decade to derive redshift constraints
for highly obscured galaxies that lack photometry at other wavelengths like the
optical/near-infrared. Most literature FIR-z fits are performed through
$chi^2$minimization to a single galaxy’s far-infrared template spectral energy
distribution (SED). The use of a single galaxy template, or modest set of
templates, can lead to an artificially low uncertainty estimate on FIR-$z$’s
because real galaxies display a wide range in intrinsic dust SEDs. I use the
observed distribution of galaxy SEDs (for well-constrained samples across
$0<z<5$) to motivate a new far-infrared through millimeter photometric redshift
technique called MMpz. The MMpz algorithm asserts that galaxies are most likely
drawn from the empirically observed relationship between rest-frame peak
wavelength, $lambda_{rm peak}$, and total IR luminosity, L$_{rm IR}$; the
derived photometric redshift accounts for the measurement uncertainties and
intrinsic variation in SEDs at the inferred L$_{rm IR}$, as well as heating
from the CMB at $z>5$. The MMpz algorithm has a precision of $sigma_{Delta
z/(1+z)}approx0.3-0.4$, similar to single-template fits, while providing a
more accurate estimate of the FIR-$z$ uncertainty with reduced chi-squared of
order $mathcal{O}(chi^2_{nu})=1$, compared to alternative far-infrared
photometric redshift techniques (with
$mathcal{O}(chi^2_{nu})approx10-10^{3}$).

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