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.
Non-relativistic pair annihilation of nearly mass degenerate neutralinos and charginos III. Computation of the Sommerfeld enhancements
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abstract
This paper concludes the presentation of the non-relativistic effective field theory formalism designed to calculate the radiative corrections that enhance the pair-annihilation cross sections of slowly moving neutralinos and charginos within the general minimal supersymmetric standard model (MSSM). While papers I and II focused on the computation of the tree-level annihilation rates that feed into the short-distance part, here we describe in detail the method to obtain the Sommerfeld factors that contain the enhanced long-distance corrections. This includes the computation of the potential interactions in the MSSM, which are provided in compact analytic form, and a novel solution of the multi-state Schr\"odinger equation that is free from the numerical instabilities generated by large mass splittings between the scattering states. Our results allow for a precise computation of the MSSM neutralino dark matter relic abundance and pair-annihilation rates in the present Universe, when Sommerfeld enhancements are important.
fields
hep-ph 2years
2026 2representative citing papers
One-loop weak corrections to fermionic MDM annihilation cross sections are computed, with IR divergences canceling in the s-wave and 5% effects in doublet, triplet, and quintuplet cases.
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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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Weak corrections to Minimal Dark Matter annihilations
One-loop weak corrections to fermionic MDM annihilation cross sections are computed, with IR divergences canceling in the s-wave and 5% effects in doublet, triplet, and quintuplet cases.