Classical part of 1-loop tensor power spectrum in de Sitter is IR divergent but cancels with vacuum part, enabling non-perturbative renormalization to extract unaffected physical information.
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HTL computation of soft axion rates shows interpolation between k=0 and k≈ω, raising ΔN_eff from ~0.03 to ~0.04 for light QCD axions at fa=4×10^8 GeV.
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Matching second-order classical and 1-loop quantum tensor power spectra in de Sitter spacetime
Classical part of 1-loop tensor power spectrum in de Sitter is IR divergent but cancels with vacuum part, enabling non-perturbative renormalization to extract unaffected physical information.
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Energy and momentum dependence of the soft-axion interaction rate
HTL computation of soft axion rates shows interpolation between k=0 and k≈ω, raising ΔN_eff from ~0.03 to ~0.04 for light QCD axions at fa=4×10^8 GeV.