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In the presence of (approximately conserved) axial charge in the QCD plasmaat finite temperature, the emitted photons are spin-aligned, which is a uniqueP- and CP-odd signature of axial charge in the photon emission observables. Wecompute this "P-odd photon emission rate" in weak coupling regime at hightemperature limit to complete leading order in the QCD coupling constant: theleading log as well as the constant under the log. As in the P-even totalemission rate in the literature, the computation of P-odd emission rate atleading order consists of three parts: 1) Compton and Pair Annihilationprocesses with hard momentum exchange, 2) soft t- and u-channel contributionswith Hard Thermal Loop re-summation, 3) Landau-Pomeranchuk-Migdal (LPM)re-summation of collinear Bremstrahlung and Pair Annihilation. We presentanalytical and numerical evaluations of these contributions to our P-odd photonemission rate observable.

Spin Polarized Photons from Axially Charged Plasma at Weak Coupling: Complete Leading Order