Abstract
Flavour-changing transitions of charged leptons have been searched for
since the early days of particle physics, helping to shape the
basic laws that any successful model should obey. First I will
describe the current experimental and theoretical state of the field,
and explain why the next generation of experiments could hold the keys
to a fuller understanding of our universe, offering discovery
potential complementary to the high energy frontier. I will
then focus on muon-to-electron conversion experiments, specifically
the COMET/PRISM programme which promises a sensitivity improvement
of four orders of magnitude compared to the present record,
and potentially a six order improvement. Recently the host laboratory
has approved COMET Phase-I, and we aim to start data-taking in 2016.