The possibility of a non trivial scale invariant sector,
weakly coupled to the Standard Model, was advocated by Georgi in hep-ph/0703260 and arXiv:0704.2457.
A scale invariant theory does not contain degrees of freedom
with isolated masses, unlike field theories used in
phenomenological particle physics.
In my talk I will introduce the subject and
present research on implication of "unparticles"
on CP phenomena in flavour physics which is rather exotic.