Abstract

We present kinematically forbidden dark matter annihilations into Standard Model leptons. This mechanism precisely selects the dark matter mass that gives the observed relic abundance. This is qualitatively different from existing models of thermal dark matter, where fixing the relic density typically leaves open orders of magnitude of viable dark matter masses. Forbidden annihilations require the dark matter to be close in mass to the particles that dominate its annihilation rate. We show examples where the dark matter mass is close to the muon mass, the tau mass, or the average of the tau and muon masses. We find that most of the relevant parameter space can be covered by the next generation of proposed beam-dump experiments and future high-luminosity electron positron colliders. Forbidden dark matter predicts large couplings to the Standard Model that can explain the observed value of (g − 2)μ.

Highlights

  • Standard cosmological history, and c) it has a relic density determined by the decoupling of its annihilations into SM particles

  • Forbidden annihilations of DM were introduced as an exception to the standard WIMP relic abundance calculation by ref

  • Forbidden annihilations were identified as a simple mechanism for light DM that naturally satisfies stringent CMB constraints on energy injection at late times [36]

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Summary

Forbidden annihilations

The discussion mostly follows [36]. Consider a DM particle χ dominantly annihilating into two SM particles 1,2 with mass mχ < (m 1 + m 2)/2. In equilibrium the right-hand side of eq (2.1) vanishes and the thermally averaged forbidden annihilation rate is neq neq σχv. In the following we never consider ∆ large enough to cross the threshold beyond which 3 → 2 annihilations dominate the abundance [57]. To estimate the relic density we can use a sudden freeze-out approximation, i.e. we assume that DM leaves equilibrium abruptly when σχv neχq ≈ H. This approximation defines the freeze-out temperature (1 + 2∆)xf. The Boltzmann suppression of the rate at T eV, for Forbidden DM, insures that sub-GeV thermal relics are consistent with experiment, making annihilations to SM leptons with DM masses mχ 10 GeV still viable

Annihilations to SM leptons
Leptophilic Higgs
Vector mediators
Conclusions
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