Abstract
Abstract We study the squark spectra of Flavored Gauge Mediation Models, in which messenger-matter uperpotential couplings generate new, generation-dependent contributions to the squark masses. The new couplings are controlled by the same flavor symmetry that explains the fermion masses, leading to excellent alignment of the quark and squark mass matrices. This allows for large squark mass splittings consistent with all flavor bounds. In particular, second-generation squarks are often significantly lighter than the first-generation squarks. As squark production at the LHC is dominated by the up- and down-squarks and the efficiencies for squark searches increase with their masses, the charm and/or strange squark masses can be well below the current LHC bounds. At the same time, even with a single set of messengers, the models can generate large stop mixings which result in large loop contributions to the Higgs mass.
Highlights
We study the squark spectra of Flavored Gauge Mediation Models, in which messenger-matter superpotential couplings generate new, generation-dependent contributions to the squark masses
JHEP09(2013)117 alignment are typically high-scale models, with supersymmetry-breaking mediated to the Minimal Supersymmetric Standard Model (MSSM) at scales close to the GUT scale
Flavored Gauge Mediation models provide a fully calculable framework for generating the MSSM soft terms, with the soft terms generated by the SM gauge interactions and superpotential couplings of the messenger and matter superfields
Summary
In Flavored Gauge Mediation Models [6], the messenger fields have superpotential couplings to the MSSM matter fields, leading to new, generation dependent contributions to the soft terms. The scalar masses-squared receive 2-loop contributions from the new couplings, which, just like the pure GMSB contributions, appear at leading order in the supersymmetry breaking, O(F 2/M 2) These involve y4 terms, mixed gauge-y2 terms and mixed y2 − Y 2 terms. Messenger scales (figure 1(a)), the negative one-loop contribution dominates, and the shift in the squark mass squared is sizeable even for low values of y. Since the relative mass shift rm is suppressed by N5, and since the gluino mass generates a universal contribution to the squar√k masses through the running, and the gluino to squark mass ratio scales as N5, larger mass differences are obtained for N5 = 1 and low messenger scales
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