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arXiv · 1105.3765

A new (string motivated) approach to the little hierarchy problem

Daniel Feldman·Gordon Kane·Eric Kuflik·Ran Lu
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Abstract

We point out that in theories where the gravitino mass, $M_{3/2}$, is in the range (10-50)TeV, with soft-breaking scalar masses and trilinear couplings of the same order, there exists a robust region of parameter space where the conditions for electroweak symmetry breaking (EWSB) are satisfied without large imposed cancellations. Compactified string/M-theory with stabilized moduli that satisfy cosmological constraints generically require a gravitino mass greater than about 30 TeV and provide the natural explanation for this phenomenon. We find that even though scalar masses and trilinear couplings (and the soft-breaking $B$ parameter) are of order (10-50)TeV, the Higgs vev takes its expected value and the $\mu$ parameter is naturally of order a TeV. The mechanism provides a natural solution to the cosmological moduli and gravitino problems with EWSB.

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Daniel Feldman, Gordon Kane, Eric Kuflik, Ran Lu. 2011-05-18. A new (string motivated) approach to the little hierarchy problem. https://doi.org/10.1016/j.physletb.2011.08.063

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