Abstract

In a recent letter we proposed a new non-thermal mechanism of Dark Matter production based on vacuum misalignment, where both the Higgs boson and a very light pseudo-scalar $\eta$ emerge from the Dark sector. In this letter, we identify the parameter space in a composite scenario where the light pseudo-scalar can be produced in the sun and explain the XENON1T excess in electron recoil data. The model's Dark Matter candidate has a mass around $50$ TeV and out of range for Direct Detection. Testable predictions include Gravitational waves at frequencies in the Hz range from a cosmological phase transition, an exotic decay $Z \to \gamma + \mbox{inv.}$ with rates $4 \div 16 \cdot 10^{-12}$ testable at a future Tera-Z collider, and an enhancement by $17\div 40$ % of the branching ratio $K_L \to \pi^0 + \mbox{inv.}$, not enough to explain the KOTO anomaly. All these predictions may be confirmed by future experiments.

Highlights

  • Institut de Physique des 2 Infinis (IP2I), CNRS/IN2P3, UMR5822, 69622 Villeurbanne, France and Universitede Lyon, Universite Claude Bernard Lyon 1, 69001 Lyon, France

  • In a recent letter we proposed a new nonthermal mechanism of dark matter production based on vacuum misalignment, where both the Higgs boson and a very light pseudoscalar η emerge from the dark sector

  • The kernel of the dark matter production mechanism lies in the thermal history of the cooling Universe: at high temperature, the vacuum of the model consists of an essentially Higgsless phase, where the electroweak symmetry is broken at a scale f ≫ vSM 1⁄4 246 GeV, and a global Uð1ÞX allows for the

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Summary

INTODUCTION

In a recent letter [1] we presented a novel mechanism that can produce the needed dark matter relic density in a nonthermal way This framework applies when the electroweak symmetry breaking is due to vacuum misalignment and the Higgs boson emerges as a pseudo-NambuGoldstone boson (pNGB). [1] applies to a large variety of models, to study the XENON1T excess we will focus on the possibility that the dynamics is based on compositeness The advantage of this approach is that the couplings of the η to gauge bosons can be predicted. The minimal global symmetry breaking patterns that can accommodate the dark matter production mechanism are SUð6Þ=Spð6Þ and SUð4Þ × SUð4Þ=SUð4Þ.1 In both cases, the WZW couplings of η can be written as [15,16]. The system is, very constrained and the XENON1T excess offers a golden chance to test it against data

THE MODEL IN THE XENON1T ARENA
PREDICTIONS
Dark matter and gravitational waves
Flavor changing decays of K and B mesons
DISCUSSION
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