Abstract
We present generic formulæ for computing how Sommerfeld corrections together with bound-state formation affects the thermal abundance of Dark Matter with non-abelian gauge interactions. We consider DM as a fermion 3plet (wino) or 5plet under SU(2)L. In the latter case bound states raise to 11.5 TeV the DM mass required to reproduce the cosmological DM abundance and give indirect detection signals such as (for this mass) a dominant γ-line around 70 GeV. Furthermore, we consider DM co-annihilating with a colored particle, such as a squark or a gluino, finding that bound state effects are especially relevant in the latter case.
Highlights
The hypothesis that Dark Matter (DM) is a thermal relic of a weakly interacting particle allows to use the cosmological DM abundance ΩDMh2 = 0.119 ± 0.002 [1] to derive information on the DM mass
We find that bound state formation increase by ∼ 40% the effective annihilation cross section defined in eq (4), leading to a ∼ 20% increase in the value of Mχ that reproduces the cosmological DM abundance
In the first part of the paper we presented generic expressions and tools for computing nonabelian bound state formation
Summary
It is crucial to compute thermal freeze-out abundance accurately For this purpose we will study non-relativistic scatterings among particles with mass M charged under a gauge group G with gauge coupling g and mediated by vectors V with mass MV. All these quantities are needed at finite temperature: in section 6 we discuss the issue of thermal corrections, showing that breaking of gauge interactions lead to the loss of quantum coherence. We find that bound state effects can be sizeable, as summarized in the conclusion, section 8
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