Chi Values for Blue Emission Lines in M Dwarfs
Andrew A. West (MIT/UC Berkeley), Suzanne L. Hawley (U of Washington)

TL;DR
This paper calculates chi values for blue emission lines in active M dwarfs using spectral data, providing analytic relations to aid studies where direct luminosity measurements are challenging.
Contribution
It introduces new analytic relations for chi values of key emission lines in M dwarfs, facilitating their use in various astrophysical analyses.
Findings
Derived chi values for multiple emission lines as functions of spectral type and color.
Provided analytic formulas applicable to flux-calibrated and non-flux-calibrated spectra.
Estimated mean properties of blue emission lines in active field M dwarfs from SDSS data.
Abstract
We compute chi values for blue emission lines in active M dwarfs. Using flux-calibrated spectra from nearby M dwarfs and spectral M dwarf templates from SDSS, we derive analytic relations that describe how the chi values for the CaII H and K as well as the H-beta, H-gamma, H-delta, H-epsilon and H8 Balmer emission lines vary as a function of spectral type and color. The chi values are useful for numerous M dwarf studies where the intrinsic luminosity of emission lines cannot be estimated due to uncertain distances and/or non-flux-calibrated spectra. We use these results to estimate the mean properties of blue emission lines in active field M dwarfs from SDSS.
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