The MSSM fine tuning problem: a way out

TLDR: In this paper, it was shown that a dramatic improvement of the fine-tuning is indeed a very common feature of these scenarios for wide ranges of tanβ and the Higgs mass.

Abstract: As is well known, electroweak breaking in the MSSM requires substantial fine-tuning, mainly due to the smallness of the tree-level Higgs quartic coupling, λtree. Hence the fine tuning is efficiently reduced in supersymmetric models with larger λtree, as happens naturally when the breaking of SUSY occurs at a low scale (not far from the TeV). We show, in general and with specific examples, that a dramatic improvement of the fine tuning (so that there is virtually no fine-tuning) is indeed a very common feature of these scenarios for wide ranges of tanβ and the Higgs mass (which can be as large as several hundred GeV if desired, but this is not necessary). The supersymmetric flavour problems are also drastically improved due to the absence of RG cross-talk between soft mass parameters.