Non supersymmetric femion boson symmetry

In this work we present a symmetry relating bosons to fermions which cannot be represented as a supersymmetric algebra. We present an action made up of a complex scalar and a fermion in four dimensions that respects the symmetry quantum mechanically. We next invoke gauge symmetry by adding a gauge field and a corresponding fermion and show that the constructed action obey's the fermion-boson symmetry. Just like supersymmetry, this symmetry allows the quadratic divergence of the Higgs mass to smooth to a logarithmic one in certain cases, however other phenomenological as well as theoretical possibilities could be different.