UV/IR Mixing, EFTs, Hidden Cancellations, and Origami: understanding the Higgs Mass and hierarchy problems from a string perspective

Almost all existing calculations that concern the Higgs mass are performed within the framework of an effective field theory. While sufficient for certain purposes, such calculations throw up problems to do with fine-tuning and naturalness, in particular the famous hierarchy problem. Arguably this problem has arisen because most phenomenology done within string theory has not respected the full string symmetries that are responsible for many of the remarkable finiteness properties for which string theory is famous. Chief among these symmetries is worldsheet modular invariance, which is an exact symmetry of all perturbative closed-string vacua. And yet if the UV is tamed by this symmetry then it should be exact even today! Thus if we believe that underlying our non-supersymmetric world there lies a closed string theory (or something like it) then we must also believe that there is a conspiracy of UV/IR mixing taking place across all energy scales. In this talk I will discuss what one can learn from this fact.