Speaker
Description
Unification of matter fields implies the existence of accidental permutation symmetries, which potentially remain immune to large quantum corrections up to the TeV scale. In this case, there is hope that they can be tested current colliders such at the LHC.
In this context, I will discuss the case of supersymmetric SU(5) grand unified theory, where such a permutation symmetry is present in the up-type squark sector. We present a variety of tests allowing to challenge the SU(5)-hypothesis based on the observation of squarks at the LHC. These tests appear as relations among observables involving flavour-violating or chirality-flipping decays of squarks. Moreover, they rely on top-polarimetry and charm-tagging.
After the discussion of relatively simple test relations in the framework of, e.g., natural or heavy supersymmetry, I will discuss the more general case where the SU(5)-hypothesis can be tested using Bayesian statistics.
