A scaling relation in [C II]-detected galaxies and its likely application in cosmology
Abstract
We identify and investigate a possible correlation between the [CII] 158μm luminosity and linewidth in the [CII]-detected galaxies. Observationally, the strength of the [CII] 158μm emission line is usually stronger than that of the CO emission line and this [CII] line has been used as another tracer of the galactic characteristics. Moreover, many [CII]-detected galaxies are identified in z > 4. Motivated by previous studies of the CO luminosity - FWHM correlation relation (LFR) and the available new [CII] measurements, we compile samples of the [CII]-detected galaxies in the literature and perform the linear regression analysis. The [CII] LFR is confirmed at a robust level. We also demonstrate the possible application of the [CII] LFR by utilizing it on the distance measurement of the high-z galaxy. As a result, we extend the cosmic spatial scale beyond the redshift z of 7. With the outcome of the distance measurement, we constrain the cosmology parameters in the Chevallier-Polarski-Linder model, which considers the evolution of dark energy. Consequently, the uncertainties of the w0 and wa are reduced significantly when the measured distance data of the [CII]-detected galaxies are included in the cosmological parameter constraint, exemplifying the potential of using the [CII]-detected galaxies as a tracer to constrain the cosmological parameters.
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