Phenomenology of supersymmetry with R-symmetry

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Supersymmetry is one of the best motivated ideas for physics beyond the Standard Model, and experiments at the Large Hadron Collider (LHC) at CERN search for it with high priority. Simple supersymmetric models can explain the existence and the mass of the Higgs boson more naturally than the Standard Model, contain candidates for dark matter particles, and are compatible with Grand Unification of all forces at high energies.R-symmetric models can ameliorate two problems of standard supersymmetric models:R-symmetric models can explain why supersymmetric particles have not yet shown up at LHC (they are produced less frequently), and why no supersymmetry effects have been observed in so-called flavour-violating processes (R-symmetry ``protects'' flavour). R-symmetryis --- besides supersymmetry and gauge invariance --- the only type of symmetries mathematically possible in quantum field theories. In this project we aim to contribute to a thorough phenomenological analysis of such models. In the first funding period important central observables such as Higgs boson masses and Higg properties, electroweak precision observables, production and decay of supersymmetric particles, dark matter, and lepton flavour physics have been studied. The studies turned out to be surprisingly rich, phenomenologically successful and promising in view of future experiments. Moreover, it has turned out that R-symmetry leads to significantly distinct predictions compared to standard supersymmetry, and that there exist crucial R-symmetry parameters neglected in earlier studies.In the second funding period, on the one hand two further important and complementary topics will be studied in an analogous way: quark flavour physics and CP-violation/electric dipole moments. Here we can expect predictions for e.g. well-known $b$-meson decays or the electric dipole moment of the electron and their correlations to differ strongly from the ones of standard supersymmetry. But we can also expect the results to be more complicated and more interesting compared to expectations fromearlier studies. On the other hand, theoretical/technical developments of computations of LHC processes will be done: a method for the so-called resummation of large corrections will be implemented (both for R-symmetry and for the more general case), to increase the accuracy and reliability of the computation. An important goal for this work is the generalizability beyond R-symmetry. Finally the phenomenological results of the first funding period will be updated and compared with the latest experimental data.