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Natural SUSY and Kaon Mixing in view of recent results from Lattice QCD

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arxiv 1208.0534 v3 pith:TBTGKQV2 submitted 2012-08-02 hep-ph hep-lat

Natural SUSY and Kaon Mixing in view of recent results from Lattice QCD

classification hep-ph hep-lat
keywords naturalresultssusygluinoscenarioboundsflavorlattice
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Lattice results are available for Delta S=2 matrix elements for the first time in full QCD, which improve considerably the status of hadronic uncertainties in K-Kbar mixing with respect to earlier phenomenological studies. Using an average of the ETMC and RBC results, we analyze epsilonK in Natural SUSY. This scenario arises as a consistent BSM framework after the latest results from the LHC. The analysis is improved with respect to previous studies including next-to-leading order matching conditions of order (alpha_s)^3. We derive new bounds for SUSY mass insertions in the scenario with a light third generation and study the implications for squark and gluino masses, compared with direct searches at the LHC. Assuming natural values for the flavor violating SUSY couplings of both chiralities, we find that the sbottom must be heavier than 3 TeV for a gluino mass up to 10 TeV. In this scenario no natural values for squark and gluino masses can satisfy the flavor bounds.

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