Different unitarization prescriptions for the Sommerfeld enhancement are equivalent to leading order and yield a regulator-independent formula for multi-state systems written only in terms of the standard enhancement factor, the hard annihilation amplitude, and the long-range S-matrix.
Watanabe,Unitarization of the Sommerfeld enhancement through the renormalization group,JHEP01(2026) 131 [2508.09511]
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Self-consistent four-point functions in NR EFT with Keldysh-Schwinger formalism render Sommerfeld unitarization temperature-dependent and keep bound states on-shell in out-of-equilibrium decay even with finite-width Breit-Wigner spectra.
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On the equivalence of unitarization prescriptions for the Sommerfeld enhancement
Different unitarization prescriptions for the Sommerfeld enhancement are equivalent to leading order and yield a regulator-independent formula for multi-state systems written only in terms of the standard enhancement factor, the hard annihilation amplitude, and the long-range S-matrix.
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Self-consistent computation of pair production from non-relativistic effective field theories in the Keldysh-Schwinger formalism
Self-consistent four-point functions in NR EFT with Keldysh-Schwinger formalism render Sommerfeld unitarization temperature-dependent and keep bound states on-shell in out-of-equilibrium decay even with finite-width Breit-Wigner spectra.