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A scalar Higgs field can be repeatedly switched on and off when it couples toa classically oscillating scalar modulus field. The modulus flips the Higgsmass term between stable and tachyonic values. We study a cosmological scenarioin which such repeated phase transitions occur during inflation. An irrelevantoperator coupling the Higgs field to the inflaton can then imprint the patternof phase transitions in the correlation functions of the inflaton. Using bothnumerical and analytic studies, we show that the inflaton 2-point functioncarries characteristic imprints of the modulus oscillation and its effect onthe Higgs boson. We briefly remark on the potential observability of suchpatterns and how they might be distinguished from other dynamics in the earlyuniverse.

An Inflationary Probe of Cosmic Higgs Switching