Recently, it has been recognized that low energy effective field theory must satisfy an infinite number of positivity bounds when UV completion is local, analytic, unitary, and Lorentz invariant. In this talk, I will firstly review the derivation of positivity bounds and their importance. Then, I will introduce our recent work in which we show that the locality assumption is not necessary to derive some of positivity bounds obtained in the literature. Such bounds may provide IR obstructions to analytic, unitary, and Lorentz invariant UV completion.

References :
Junsei Tokuda, arXiv:1902.10039