Supersymmetric models with the anomaly-mediated SUSY breaking (AMSB) have run into serious conflicts with 1. LHC and Higgs mass constraints, 2. constraints from wino-like WIMP dark matter searches and 3. bounds from naturalness. These conflicts may be avoided by introducing changes to the underlying phenomenological models providing a setting for natural anomaly-mediation (nAMSB). We examine spectra of nAMSB arising from string landscape. Here, we investigated LHC constraints on nAMSB models that allow to lie within 90200 TeV which may soon be discovered or falsified by a combination of 1. soft OS dilepton plus jet+ MET (OSDLJMET) searches which arise from higgsino pair production, 2. non-boosted hadronically decaying wino pair production searches and 3. same-sign diboson + MET searches arising from wino pair production followed by wino decay to W +higgsino. Some excess above SM background in the OSDLJMET channel already seems to be present in both ATLAS and CMS data.

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