Analytical approximations of K-corrections in optical and near-infrared bands

TL;DR

This paper introduces a simple polynomial-based method to accurately approximate K-corrections for various optical and near-infrared filters, simplifying galaxy photometry corrections across redshifts below 0.5.

Contribution

It provides low-order polynomial fitting functions for K-corrections using only redshift and one observed colour, based on a large empirical galaxy dataset, streamlining the correction process.

Findings

Accurate polynomial approximations for multiple filter sets.

Validation of solutions using SDSS spectra.

Availability of an online K-corrections calculator.

Abstract

To compare photometric properties of galaxies at different redshifts, the fluxes need to be corrected for the changes of effective rest-frame wavelengths of filter bandpasses, called K-corrections. Usual approaches to compute them are based on the template fitting of observed spectral energy distributions (SED) and, thus, require multi-colour photometry. Here, we demonstrate that, in cases of widely used optical and near-infrared filters, K-corrections can be precisely approximated as two-dimensional low-order polynomials of only two parameters: redshift and one observed colour. With this minimalist approach, we present the polynomial fitting functions for K-corrections in SDSS ugriz, UKIRT WFCAM YJHK, Johnson-Cousins UBVR_cI_c, and 2MASS JHK_s bands for galaxies at redshifts Z<0.5 based on empirically-computed values obtained by fitting combined optical-NIR SEDs of a set of 10^5 galaxies constructed from SDSS DR7 and UKIDSS DR5 photometry using the Virtual Observatory. For luminous red galaxies we provide K-corrections as functions of their redshifts only. In two filters, g and r, we validate our solutions by computing K-corrections directly from SDSS DR7 spectra. We also present a K-corrections calculator, a web-based service for computing K-corrections on-line.