Determining The Systemic Redshift Of Lyman A Emitters With Neural Networks And Improving The Measured Large-Scale Clustering

We explore how to mitigate the clustering distortions in Lyman alpha emitter (LAE) samples caused by the misidentification of the Lyman a (Ly alpha) wavelength in their Ly alpha line profiles. We use the Ly a line profiles from our previous LAE theoretical model that includes radiative transfer in the interstellar and intergalactic mediums. We introduce a novel approach to measure the systemic redshift of LAEs from their Ly alpha line using neural networks. In detail, we assume that for a fraction of the whole LAE population their systemic redshift is determined precisely through other spectral features. We then use this subset to train a neural network that predicts the Ly alpha wavelength given an Ly a line profile. We test two different training sets: (i) the LAEs are selected homogeneously and (ii) only the brightest LAE is selected. In comparison with previous approaches in the literature, our methodology improves significantly the accuracy in determining the Ly alpha wavelength. In fact, after applying our algorithm in ideal Ly alpha line profiles, we recover the clustering unperturbed down to 1 cMpc h(-1). Then, we test the performance of our methodology in realistic Ly alpha line profiles by downgrading their quality. The machine learning technique using the uniform sampling works well even if the Ly alpha line profile quality is decreased considerably. We conclude that LAE surveys such as HETDEX would benefit from determining with high accuracy the systemic redshift of a subpopulation and applying our methodology to estimate the systemic redshift of the rest of the galaxy sample.