Abstract

The Higgs doublet can mediate a long-range interaction between multi-TeV particles coupled to the Weak interactions of the Standard Model, while its emission can lead to very rapid bound-state formation processes and bound-to-bound transitions. Using the rates calculated in a companion paper, here we compute the thermal decoupling of multi-TeV WIMP dark matter coupled to the Higgs, and show that the formation of metastable dark matter bound states via Higgs-doublet emission and their decay decrease the relic density very significantly. This in turn implies that WIMP dark matter may be much heavier than previously anticipated, or conversely that for a given mass, the dark matter couplings to the Higgs may be much lower than previously predicted, thereby altering the dark matter phenomenology. While we focus on a minimal singlet-doublet model in the coannihilation regime, our calculations can be extended to larger multiplets where the effects under consideration are expected to be even more significant.

Highlights

  • We will focus on a minimal singlet-doublet realisation of this class of scenarios

  • Using the rates calculated in a companion paper, here we compute the thermal decoupling of multi-TeV WIMP dark matter coupled to the Higgs, and show that the formation of metastable dark matter bound states via Higgs-doublet emission and their decay decrease the relic density very significantly

  • The exponential increase of σvrel eff due to BSF when the ionisation processes cease, gives rise to a second period of DM destruction that decreases the DM density by two orders of magnitude! In figure 5, we show the timeline of the DM thermal decoupling

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Summary

Lagrangian and mass eigenstates

We begin by specifying the model following ref. [35], before summarising the mass eigenstates and interactions in the broken electroweak phase. Since the coupling to Zμ is non-diagonal, with the mass splitting being always much larger than ∼ O(100 keV) for the y values we will consider here (cf section 3), the constraints from direct detection experiments due to this interaction are evaded. [19, 22].) Constraints may arise from electroweak precision observables, and in particular from the contribution to the T parameter While the latter scales as (yL2 − yR2 ) and vanishes in the limit considered here, it may become important for large values of the Yukawa coupling(s) if |yL| |yR| or |yL| |yR|. While a detailed phenomenological analysis is beyond the scope of the present work, our results are important for interpreting the experimental constraints, since they imply a different relation between the DM mass and couplings in order for the observed DM density to be attained via thermal freeze-out

Bound states
Higgs doublet mass and EWPT
Coupled Boltzmann equations
Effective Boltzmann equation
Effective cross-section
Bound state formation
Timeline and relic density
Major approximations and their validity
Unitarity limit on the dark matter mass
Conclusion
Full Text
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