
TL;DR
This paper explores minimal extensions of natural SUSY models that incorporate new dynamics at around 10 TeV, aiming to reconcile naturalness with current experimental constraints, and proposes a dynamical origin for the new scale linked to the gravitino mass.
Contribution
It introduces a model where the new dynamical scale arises naturally from the gravitino mass, connecting SUSY breaking to Higgs sector dynamics through compositeness.
Findings
A single scale m_{3/2} can generate all relevant low-energy mass scales.
A composite singlet in NMSSM can be triggered by gravitino-scale dynamics.
The model remains compatible with a light stop and current experimental bounds.
Abstract
We consider the prospects for natural SUSY models consistent with current data. Recent constraints make the standard paradigm unnatural so we consider what could be a minimal extension consistent with what we now know. The most promising such scenarios extend the MSSM with new tree-level Higgs interactions that can lift its mass to at least 125 GeV and also allow for flavor-dependent soft terms so that the third generation squarks are lighter than current bounds on the first and second generation squarks. We argue that a common feature of almost all such models is the need for a new scale near 10 TeV, such as a scale of Higgsing or confinement of a new gauge group. We consider the question whether such a model can naturally derive from a single mass scale associated with supersymmetry breaking. Most such models simply postulate new scales, leaving their proximity to the scale of MSSM…
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