Abstract
We investigate the possibility that Dark Matter arises as a composite state of a fundamental confining dynamics, together with the Higgs boson. We focus on the minimal SU(4)×SU(4)/SU(4) model which has both a Dark Matter and a Higgs candidates arising as pseudo-Nambu-Goldstone bosons. At the same time, a simple underlying gauge-fermion theory can be defined providing an existence proof of, and useful constraints on, the effective field theory description. We focus on the parameter space where the Dark Matter candidate is mostly a gauge singlet. We present a complete calculation of its relic abundance and find preferred masses between 500 GeV to a few TeV. Direct Dark Matter detection already probes part of the parameter space, ruling out masses above 1 TeV, while Indirect Detection is relevant only if non-thermal production is assumed. The prospects for detection of the odd composite scalars at the LHC are also established.
Highlights
We investigate the possibility that Dark Matter arises as a composite state of a fundamental confining dynamics, together with the Higgs boson
We focus on the minimal SU(4)×SU(4)/SU(4) model which has both a Dark Matter and a Higgs candidates arising as pseudo-Nambu-Goldstone bosons
Like in most pseudo-Nambu-Goldstone boson (pNGB) Higgs models, it can provide small corrections to precision measurements [36, 45] in a wide parameter range. In this model there is an EW singlet pNGB which has been studied as a composite scalar Dark Matter (DM) candidate in an effective theory approach [46, 47], decays are induced from the Wess-Zumino-Witten (WZW) [48,49,50] anomaly, that unequivocally present in the underlying fermionic Fundamental Composite Dynamics (FCD) models
Summary
We pay our attention to a model of composite Higgs based on the coset SU(4)×SU(4) /SU(4), where the custodial symmetry of the SM Higgs potential, SU(2)L×SU(2)R, is embedded in the diagonal SU(4). We will work in the parameterisation where the vacuum of the theory is misaligned to break the electroweak symmetry [16], and the misalignment is parameterised by an angle θ [37] interpolating between a Technicolour-like model and a pNGB Higgs one. We would like to mention the recently proposed mechanism where the masses of the SM fermions are induced thanks to the presence of scalars charged under the FCD dynamics [76]: while the underlying theory is not natural as it contains fundamental scalars, partial compositeness can be implemented without requiring large anomalous dimensions and the theory is potentially predictive up to high scales. The masses of the other pNGBs can be computed before showing this, we will discuss the structure of the effective Yukawa couplings for all SM fermions, generalising the results of ref. [38]
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