We present pathways to the required theoretical precision for the luminosity
targeted by the FCC-ee precision studies. We put the discussion in context by
reviewing briefly the situation at the time of LEP. We then present the current
status and routes to the desired 0.01\% targeted by the FCC-ee (as well as by
the ILC).Comment: 6 pages, 2 tables; talk presented at the International Workshop on
Future Linear Colliders (LCWS2018), Arlington, Texas, 22-26 October 2018.
C18-10-22; typos corrected; misprint correcte