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Dvali, Gia und Jankowsky, Anna (2022): Absence of the mu-problem in grand unification. In: Physical Review D, Bd. 105, Nr. 1 [PDF, 211kB]

Abstract

Using properties of Goldstino, we show that in generic grand unified theories with gravity-mediated supersymmetry breaking the At-problem is nonexistent. What happens is that supersymmetry breaking universally induces the shifts of the heavy fields that generate At and BAt terms. In the leading order, these are given by the mass of gravitino and are insensitive to the scale of grand unification. The mechanism works regardless whether doublet-triplet splitting is achieved via fine-tuning or not. Moreover, we illustrate this general phenomenon on explicit examples of theories that achieve doublet-triplet splitting dynamically. These include the theories with Higgs doublet as a pseudo-Goldstone boson, as well as the approach based on spontaneous decoupling of the light color triplet from quarks and leptons.

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