# Gauge Mediation with a small mu term and light squarks - High Energy Physics - Phenomenology

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Abstract: We consider a solution to the mu problem in the context of Non-Minimal GaugeMediation with two Singlets and Low-Scale Messengers. This solution reducestuning associated with the -Little Hierarchy- problem by permitting a naturallysmall mu term 100-300 GeV due to small mixing between the Singlets. Thesmallness of mu also relies crucially on compressing the Gauge Mediatedsparticle spectrum resulting in 330-400 GeV squarks. In addition to a small muterm, the theory achieves a Higgs mass > 114.4 GeV through a large Higgsquartic coupling when tanbeta ~ 1.5. The vacua studied are globally stable withall couplings perturbative to the GUT scale. The amount of tuning required toget the correct Electroweak scale is of order 10%, with a similar residualtuning associated with the region of parameter space where the lightest CP-evenHiggs mass is above the LEP bound.

Author: ** John D. Mason**

Source: https://arxiv.org/