Cosmology of a Fine-Tuned SUSY Higgs

I will discuss some work in progress that explores whether a mildly fine-tuned Higgs boson, as in (mini-)split supersymmetry, can have interesting or observable cosmological consequences. As moduli fields oscillate, the Higgs can respond and temporarily acquire very large values along a D-flat direction. Possible consequences include a burst of gravitational wave production and an altered estimate of the number of e-folds of inflation.