  Physics associated with the Higgs field potential is rich and interesting and
deserves a concise summary for a broader audience to appreciate the beauty and
the challenges of this subject. We discuss the role of the Higgs potential in
particle physics, in particular in the spontaneous symmetry breaking and in the
mass generation using an example of a simple reflection symmetry, then continue
with the temperature and quantum corrections to the potential which lead us to
the naturalness problem and the vacuum stability.
