The European Community has invested heavily in the Large Hadron Collider (LHC) to solve fundamental problems within high energy physics. The LHC Run-2 period that begins now may prove to be the most exciting time for particle physics in 21th century as there are indications for existence of the new particles from the earlier LHC data. This proposal will contribute to solutions of fundamental problems within high energy physics in light of the new LHC data. The aim of this proposal is to address these problems by extending the Standard Model (SM) of strong, weak and electromagnetic interactions which is the currently accepted theoretical framework to describe interactions of fundamental particles. This is interesting because existing unsolved fundamental problems require new, beyond SM physics.The main criteria for success is a thorough understanding of the new experimental data by the strong theoretical team of the world’s leading researchers working at the interface between lattice supercomputing, field theoretical methods, beyond SM physics and cosmology.Together with my team, I will contribute with a variety of relevant techniques and ability to generate my own research proven by scientific results I currently achieved with existing collaborations worldwide.The project has four phases:1. First I will explore the new paradigm of the asymptotically safe extensions of the SM with the main goal to formulate new predictions for the LHC Run-2.2. With these new predictions, I aim to study the fundamental problem of neutrino mass.3. In this phase, I plan to perform phenomenological analysis of these new theories leading to accurate predictions for colliders.4. Finally, I aim to investigate cosmological implications of these new models with main focus on dark matter and baryogenesis.