The Galaxy Stellar Mass Function and Low Surface Brightness Galaxies from Core-Collapse Supernovae. (arXiv:1901.05020v1 [astro-ph.GA])
<a href="http://arxiv.org/find/astro-ph/1/au:+Sedgwick_T/0/1/0/all/0/1">Thomas M. Sedgwick</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Baldry_I/0/1/0/all/0/1">Ivan K. Baldry</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+James_P/0/1/0/all/0/1">Philip A. James</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Kelvin_L/0/1/0/all/0/1">Lee S. Kelvin</a>

We introduce a method for producing a galaxy sample unbiased by surface
brightness and stellar mass, by selecting star-forming galaxies via the
positions of core-collapse supernovae (CCSNe). Whilst matching $sim$2400
supernovae from the SDSS-II Supernova Survey to their host galaxies using IAC
Stripe 82 legacy coadded imaging, we find $sim$150 previously unidentified low
surface brightness galaxies (LSBGs). Using a sub-sample of $sim$900 CCSNe, we
infer CCSN-rate and star-formation rate densities as a function of galaxy
stellar mass, and the star-forming galaxy stellar mass function. Resultant
star-forming galaxy number densities are found to increase following a
power-law down to our low mass limit of $sim10^{6.4}$ M$_{odot}$ by a single
Schechter function with a faint-end slope of $alpha = -1.41$. Number densities
are consistent with those found by the EAGLE simulations invoking a
$Lambda$-CDM cosmology. Overcoming surface brightness and stellar mass biases
is important for assessment of the sub-structure problem. In order to estimate
galaxy stellar masses, a new code for the calculation of galaxy photometric
redshifts, zMedIC, is also presented, and shown to be particularly useful for
small samples of galaxies.

We introduce a method for producing a galaxy sample unbiased by surface
brightness and stellar mass, by selecting star-forming galaxies via the
positions of core-collapse supernovae (CCSNe). Whilst matching $sim$2400
supernovae from the SDSS-II Supernova Survey to their host galaxies using IAC
Stripe 82 legacy coadded imaging, we find $sim$150 previously unidentified low
surface brightness galaxies (LSBGs). Using a sub-sample of $sim$900 CCSNe, we
infer CCSN-rate and star-formation rate densities as a function of galaxy
stellar mass, and the star-forming galaxy stellar mass function. Resultant
star-forming galaxy number densities are found to increase following a
power-law down to our low mass limit of $sim10^{6.4}$ M$_{odot}$ by a single
Schechter function with a faint-end slope of $alpha = -1.41$. Number densities
are consistent with those found by the EAGLE simulations invoking a
$Lambda$-CDM cosmology. Overcoming surface brightness and stellar mass biases
is important for assessment of the sub-structure problem. In order to estimate
galaxy stellar masses, a new code for the calculation of galaxy photometric
redshifts, zMedIC, is also presented, and shown to be particularly useful for
small samples of galaxies.

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