two real scalar dark matter under s3 symmetry

We are interested in a two components dark matter which every component is a real scalarfield and only one of them take the vacuum expectation value. as the symmetries in particlephysics make some limitations, we apply a s3 discrete symmetry on our intended dark matterpotential then survey the feynman diagrams of the dm-higgs to find the branching ratio and alimit on coupling constant to higgs field and find the cross sections according to a scattering ofscalar fields to a single neutron then determine the results by considering three different mass forevery dark matter candidate and find the dm-higgs coupling constant for some of the importantexperiments of dark matter’s direct detection and finally we have checked out the interactionbetween a real scalar field to a standard model particle.