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Single-scale natural SUSY

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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 soft terms a mystery. This coincidence problem may be thought of as a mild tuning, analogous to the usual μ problem. We find that a single mass scale origin is challenging, but suggest that a more natural origin for such a new dynamical scale is the gravitino mass, m 3/2, in theories where the MSSM soft terms are a loop factor below m 3/2. As an example, we build a variant of the NMSSM where the singlet S is composite, and the strong dynamics leading to compositeness is triggered by masses of order m 3/2 for some fields. Our focus is the Higgs sector, but our model is compatible with a light stop (either with the first and second generation squarks heavy, or with R-parity violation or another mechanism to hide them from current searches). All the interesting low-energy mass scales, including linear terms for S playing a key role in EWSB, arise dynamically from the single scale m 3/2. However, numerical coefficients from RG effects and wavefunction factors in an extra dimension complicate the otherwise simple story.

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  1. Department of Physics, Harvard University, Cambridge, MA, 02138, U.S.A.

    Lisa Randall & Matthew Reece

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  1. Lisa Randall
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  2. Matthew Reece
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Correspondence to Matthew Reece.

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Randall, L., Reece, M. Single-scale natural SUSY. J. High Energ. Phys. 2013, 88 (2013). https://doi.org/10.1007/JHEP08(2013)088

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