  We rewrite the Lagrangian of the fermionic sector of the Standard Model in a
novel compact form. The new Lagrangian is second order in derivatives, and is
obtained from the usual first order Lagrangian by integrating out all primed
(or dotted) 2-component spinors. The Higgs field enters the new Lagrangian
non-polynomially, very much like the metric enters the Einstein-Hilbert
Lagrangian of General Relativity. We also discuss unification in the second
order formalism, and describe a natural in this framework SU(2)xSU(4) unified
theory.
