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High-redshift Lyman break galaxies (LBGs) are efficiently selected in deepimages using as few as three broadband filters, and have been shown to havemultiple intrinsic and small- to large-scale environmental properties relatedto Lyman-alpha. In this paper we demonstrate a statistical relationship betweennet Lyman-alpha equivalent width (net Lya EW) and the optical broadbandphotometric properties of LBGs at z~2. We show that LBGs with the strongest netLya EW in absorption (aLBGs) and strongest net Lya EW in emission (eLBGs)separate into overlapping but discrete distributions in $(U_n-R)$ colour and$R$-band magnitude space, and use this segregation behaviour to determinephotometric criteria by which sub-samples with a desired Lya spectral type canbe selected using data from as few as three broadband optical filters. Wepropose application of our result to current and future large-area and all-skyphotometric surveys that will select hundreds of millions of LBGs across manyhundreds to thousands of Mpc, and for which spectroscopic follow-up to obtainLya spectral information is prohibitive. To this end, we use spectrophotometryof composite spectra derived from a sample of 798 LBGs divided into quartileson the basis of net Lya EW to calculate criteria for the selection of Lyaabsorbing and Lya emitting populations of z~3 LBGs using $ugri$ broadbandphotometric data from the Vera Rubin Observatory Legacy Survey of Space andTime (LSST).

Lyman-alpha at Cosmic Noon I: Ly-alpha Spectral Type Selection of z ~ 2-3 Lyman Break Galaxies with Broadband Imaging