  The discovery of the Standard Model Scalar Boson (Brout-Englert-Higgs
particle) opens a new field of research, namely the structure of the scalar
sector. Numerous extensions exist, and imply extra particles, including
additional scalars. Two main alleys are open to investigate such deviations
from the minimal standard model: precision measurements could indicate a
deviation from the usual expectations, or a direct discovery of new scalar
partners (or other particles) would establish an alternative. In this short
note, we concentrate on a very simple model, for which the respective reaches
of the two approaches can be compared. This note also provides a strong
incentive to pursue searches for extra "Standard Model Scalar-like" particles
in the whole available energy spectrum.
