Emanuele Bagnaschi (UPMC, Paris (main) and Paris, LPTHE), Gian F. Giudice (CERN), Pietro Slavich (UPMC, Paris (main) and Paris, LPTHE), Alessandro Strumia (Pisa U. and INFN, Pisa and NICPB, Tallinn)
e-Print: arXiv:1407.4081 [hep-ph]
Assuming that supersymmetry exists well above the weak scale, we derive the full one-loop matching conditions between the SM and the supersymmetric theory, allowing for the possibility of an intermediate Split-SUSY scale. We also compute two-loop QCD corrections to the matching condition of the Higgs quartic coupling. These results are used to improve the calculation of the Higgs mass in models with high-scale supersymmetry or split supersymmetry, reducing the theoretical uncertainty. We explore the phenomenology of a mini-split scenario with gaugino masses determined by anomaly mediation. Depending on the value of the higgsino mass, the theory predicts a variety of novel possibilities for the dark-matter particle.