  I'll begin with a brief review of the triumph of Yang-Mills theory at
particle accelerators, a development that began some years after their historic
paper. This story reached a culmination, or at least local extremum, with the
discovery at the Large Hadron Collider of a Higgs-like scalar boson in 2012.
The talk then proceeds to a slightly more technical level, discussing how we
derive predictions from the gauge field theories of the Standard Model and its
extensions for use at high energy accelerators.
