Cosmic acceleration in an extended Brans-Dicke-Higgs theory

We consider an extended scalar-tensor theory of gravity where the action has two interacting scalar fields, a Brans-Dicke field that makes the effective Newtonian constant a function of coordinates and a Higgs field that has derivative and non-derivative interaction with the lagrangian. There is a non-trivial interaction between the two scalar fields that dictates the dominance of different scalar fields in different era. We investigate if this set-up can describe a late-time cosmic acceleration preceded by a smooth transition from deceleration in recent past. From a cosmological reconstruction technique, we find the scalar profiles as a function of redshift. We find the constraints on the model parameters from a Markov chain Monte Carlo analysis using observational data. Evolution of an effective equation of state, matter density contrast, and thermodynamic equilibrium of our Universe are studied and their significance in comparison with a ACDM cosmology is discussed.