A new estimate of the mass of the gravitational scalar field for Dark Energy

A new estimate of the mass of the pseudo dilaton is offered by following the fundamental nature that a massless Nambu-Goldstone boson, called a dilaton, in the Einstein frame acquires a nonzero mass through the loop effects which occur with the Higgs field in the relativistic quantum field theory as described by poles of D, spacetime dimensionality off the physical value \(D=4\). Naturally the technique of dimensional regularization is fully used to show this pole structure to be suppressed to be finite by what is called a Classical-Quantum-Interplay, to improve our previous attempt. Basically the same analysis is extended to derive also the coupling of a pseudo dilaton to two photons.