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The hierarchy problem, UV/IR mixing, nonrenormalisation theorems and new approaches to naturalness

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If you have a question about this talk, please contact Terry Generet .

In this talk I review the hierarchy problem, and I will describe recent progress in understanding the additional constraints that UV/IR mixing places on a theory that may be giving hints as to how it can be solved. As an example that can be treated rigorously, I will consider the UV/IR mixing associated with modular invariance in closed strings, and show that this yields a novel set of supertrace constraints. These constraints are similar to the nonrenormalisation theorems of supersymmetry but they are applicable in full generality. I discuss the various phenomenological consequences that arise including the lack of any power law running, and the apparent UV fixed-point behaviour. The talk will be pedagogical.

This talk is part of the HEP phenomenology joint Cavendish-DAMTP seminar series.

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