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Annihilation Cross Sections for Relic Densities in the Low Velocity Limit

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arxiv hep-ph/9404219 v1 pith:CALAUVFU submitted 1994-04-06 hep-ph

classification hep-ph
keywords annihilationcrossvrelarelbrelcrelmassivesection
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

A simple method to calculate the total annihilation cross section of massive cold relics is presented. Exact expressions for $\arel$, $\brel$, and $\crel$ of $\sigma \vrel=\arel+\brel \vrel^2+\crel \vrel^4$ are obtained from simple derivatives of the squared annihilation amplitude. Three examples are given. In one example, the computed annihilation cross section of massive Dirac neutrinos confirms recent correct calculations.

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Cited by 2 Pith papers

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  1. Probing Dark Sector Particles Coupling to Neutrinos with Double Beta Decay

    hep-ph 2025-11 unverdicted novelty 4.0 of 10

    Double beta decay experiments can constrain couplings of sub-MeV Majoron-like scalars to neutrinos at |a_ν| ≈ 2×10^{-6} through on- and off-shell production effects on the electron spectrum.

  2. Signatures of Dipolar Dark Matter on Indirect Detection

    hep-ph 2019-08 conditional novelty 4.0 of 10

    Fermionic dipole dark matter can match the observed relic abundance and Planck CMB bounds only in a narrow mass-dipole window, with an upper cutoff M16* = 0.44 (dipole ~0.44 x 10^-16 e cm) when electric and magnetic m...

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