  With the discovery of a particle that seems rather consistent with the
minimal Standard Model Higgs boson, attention turns to questions of
naturalness, fine-tuning, and what they imply for physics beyond the Standard
Model and its discovery prospects at run II of the LHC. In this article we
revisit the issue of naturalness, discussing some implicit assumptions that
underly some of the most common statements, which tend to assign physical
significance to certain regularization procedures. Vague arguments concerning
fine-tuning can lead to conclusions that are too strong and perhaps not as
generic as one would hope. Instead, we explore a more pragmatic definition of
the hierarchy problem that does not rely on peeking beyond the murky boundaries
of quantum field theory: we investigate the fine-tuning of the electroweak
scale associated with thresholds from heavy particles, which is both calculable
and dependent on the nature of the would-be ultraviolet completion of the
Standard Model. We discuss different manifestations of new high-energy scales
that are favored by experimental hints for new physics with an eye toward
making use of fine-tuning in order to determine natural regions of the new
physics parameter spaces.
