  The Lee-Wick Standard Model assumes a minimal set of higher-derivative
quadratic terms that produce a negative-norm partner for each Standard Model
particle. Here we introduce additional terms of one higher order in the
derivative expansion that give each Standard Model particle two Lee-Wick
partners: one with negative and one with positive norm. These states
collectively cancel unwanted quadratic divergences and resolve the hierarchy
problem as in the minimal theory. We show how this next-to-minimal
higher-derivative theory may be reformulated via an auxiliary field approach
and written as a Lagrangian with interactions of dimension four or less. This
mapping provides a convenient framework for studies of the formal and
phenomenological properties of the theory.
