Composite dark matter and Higgs

We investigate the possibility that Dark Matterarises 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 Matterand 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 theorydescription. We focus on the parameter spacewhere the Dark Mattercandidate 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 Matterdetection 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.