  The generic supersymmetric version of the Standard Model would have the
minimal list of superfields incorporating the Standard Model particles, and a
Lagrangian dictated by the Standard Model gauge symmetries. To be
phenomenologically viable, soft supersymmetry breaking terms have to be
included. In the most popular version of the supersymmetric Standard Model, an
{\it ad hoc} discrete symmetry, called R parity, is added in by hand. While
there has been a lot of various kinds of R-parity violation studies in the
literature, the complete version of supersymmetry without R parity is not
popularly appreciated. In this article, we present a pedagogical review of the
formulation of this generic supersymmetric Standard Model and give a detailed
discussion on the basic conceptual issues involved. Unfortunately, there are
quite some confusing, or even plainly wrong, statements on the issues within
the literature of R-parity violations. We aim at clarifying these issues here.
We will first discuss our formulation, about which readers are urged to read
without bias from previous acquired perspectives on the topic. Based on the
formulation, we will then address the various issues . In relation to
phenomenology, our review here will not go beyond tree-level mass matrices. But
we will give a careful discussion of mass matrices of all the matter fields
involved. Useful expressions for perturbative diagonalizations of the mass
matrices at the phenomenologically interesting limit of corresponds to small
neutrino masses are derived. All these expressions are given in the fully
generic setting, with information on complex phases of parameters retained.
Such expressions have been shown to be useful in the analyses of various
phenomenological features.
