  The Clifford odd and even "basis vectors", describing the internal spaces of
fermion and boson fields, respectively, offer in even-dimensional spaces, like
in $d=(13+1)$, the description of quarks and leptons and antiquarks and
antileptons appearing in families, as well as of all the corresponding gauge
fields: photons, weak bosons, gluons, Higgs's scalars and the gravitons, which
not only explain all the assumptions of the standard model, and makes several
predictions, but also explains the existence of the graviton gauge fields.
Analysing the properties of fermion and boson fields concerning how they
manifest in $d=(3+1)$, assuming space in $d=(3+1)$ flat, while all the fields
have non-zero momenta only in $d=(3+1)$, this article illustrates that
scattering of fermion and boson fields, with gravitons included, represented by
the Feynman diagrams, are determined by the algebraic products of the
corresponding "basis vectors" of fields, contributing to scattering. There are
two kinds of boson gauge fields appearing in this theory, both contribute when
describing scattering. We illustrate, assuming that the internal space, which
manifests in $d=(3+1)$ origin in $d=(5+1)$, and in $d=(13+1)$, the annihilation
of an electron and positron into two photons, and the scattering of an electron
and positron into two muons. The theory offers an elegant and promising
illustration of the interaction among fermion and boson second quantised
fields.
