2011
DOI: 10.1016/j.nuclphysb.2011.05.009
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Thermal abundance of non-relativistic relics with Sommerfeld enhancement

Abstract: We propose an analytic treatment for computing the relic abundances of non-relativistic particles whose annihilation rate at chemical decoupling is increased by Sommerfeld enhancement. We find approximate rational functions that closely fit the thermal average of Sommerfeld-enhanced cross sections in the massless limit of force carriers for s-and p-wave annihilations. We demonstrate that, with the approximate thermally-averaged cross sections implemented, the standard analytic method for the final relic abunda… Show more

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Cited by 12 publications
(9 citation statements)
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“…As already extensively discussed in the literature, the impact of Sommerfeld-enhanced annihilation rates on the DM relic density can be sizable both before [53][54][55][56][57][58] and after [17][18][19] kinetic decoupling. In this article, we have introduced a general framework that, for the first time, allows to consistently describe situations where DM an- 4 This would lead to the conclusion that this or very similar leptophilic models cannot account for the cosmic ray lepton excess without violating the gamma-ray constraints from clusters if Mcut ≤ 10 4 M [33].…”
Section: Discussionmentioning
confidence: 79%
“…As already extensively discussed in the literature, the impact of Sommerfeld-enhanced annihilation rates on the DM relic density can be sizable both before [53][54][55][56][57][58] and after [17][18][19] kinetic decoupling. In this article, we have introduced a general framework that, for the first time, allows to consistently describe situations where DM an- 4 This would lead to the conclusion that this or very similar leptophilic models cannot account for the cosmic ray lepton excess without violating the gamma-ray constraints from clusters if Mcut ≤ 10 4 M [33].…”
Section: Discussionmentioning
confidence: 79%
“…The Sommerfeld effect in the calculations of thermal relic abundance has been studied extensively in the literature (see e.g. [48][49][50][51][52][53][54][55]). Let us first briefly describe the Sommerfeld corrections to the annihilation cross sections of the massive colored particles of our interest.…”
Section: Relic Abundance Calculationmentioning
confidence: 99%
“…Later, the Sommerfeld enhancement and its implication on the relic density has been studied in the context of the minimal dark matter model [12,13], still referring to standard interactions and very massive WIMPs. More recently, in light of the PAMELA anomaly, several authors, including, e.g., [7,14,15,16,17,18,19,20,21,22,23,24,25], have considered a few aspects of the connection with WIMP DM, considering models for which a new dark force, carried by some yet-to-be-discovered light boson, provides a very large enhancement in the cross section. In our analysis we reconsider the case of supersymmetric DM, and discuss the effect in the general context of the minimal supersymmetric extension to the standard model (MSSM), with arbitrary Wino and Higgsino components in the lightest neutralino, 1 applying and developing the formalism introduced in Ref.…”
Section: Introductionmentioning
confidence: 99%