Dynamical mechanism for ultra-light scalar Dark Matter
Jean Alexandre

TL;DR
This paper proposes a dynamical mechanism where quantum corrections to a scalar field with a double-well potential produce ultra-light particles around 10^{-23} eV, potentially explaining cold dark matter within the Higgs framework.
Contribution
It introduces a novel non-perturbative quantum correction mechanism linking Higgs symmetry breaking to ultra-light dark matter particle generation.
Findings
Ultra-light particles naturally emerge at ~10^{-23} eV.
The mechanism aligns with the Electroweak phase transition timing.
The model predicts extremely weak Higgs-Dark Matter interactions.
Abstract
Assuming a double-well bare potential for a self-interacting scalar field, with the Higgs vacuum expectation value, it is shown that non-perturbative quantum corrections naturally lead to ultra-light particles of mass eV, if these non-perturbative effects occur at a time consistent with the Electroweak phase transition. This mechanism could be relevant in the context of Bose Einstein Condensate studies for the description of cold Dark Matter. Given the numerical consistency with the Electroweak transition, an interaction potential for Higgs and Dark Matter fields is proposed, where spontaneous symmetry breaking for the Higgs field leads to the generation of ultra-light particles, in addition to the usual Higgs mechanism. This model also naturally leads to extremely weak interactions between the Higgs and Dark Matter particles.
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