“…This is complicated, though, by the fact that we have just shown that the Breit-Wheeler is peculiarly coupled to the low-energy regime. To get a qualitative idea of the impact of the effects neglected, consider that one of the most important non-perturbative effects of a thermal background is to introduce a ''thermal mass'' to the constituent particles, 𝑚 th ∶= 𝜇𝑘 𝐵 𝑇 𝛾 ∕𝑐 2 , where 𝜇 ∼ √ 𝛼 [9,11,12]. (Taking this to be the only thermal adjustment of the dispersion relations becomes a good approximation in the hard momentum regime.)…”