SUSY (Supersymmetry) is a theoretical extension of the Standard Model of particle physics that proposes a symmetry between bosons (particles with integer spin) and fermions (particles with half-integer spin). This symmetry can help explain the hierarchy problem and provide a candidate for dark matter. Flavor changing neutral current (FCNC) refers to the violation of the conservation of quark flavor in the decay or scattering of neutral particles. SUSY models can predict the existence of new particles that can contribute to FCNC processes.
While SUSY has been proposed as a solution to the FCNC problem, there is currently no conclusive evidence to support this. Experimental searches for SUSY particles have not yet yielded any definitive results, and theoretical calculations have not been able to fully explain the observed FCNC phenomena. Therefore, the question of whether SUSY has solved FCNC is still an open and actively researched topic in particle physics.
There have been some experimental results that have hinted at the possible existence of SUSY particles, such as the anomalous magnetic moment of the muon and the observed value of the Higgs boson mass. However, these results are not yet conclusive and more data and analysis are needed to confirm their significance. So far, there is no direct experimental evidence that supports SUSY's ability to solve FCNC.
One of the main challenges in testing SUSY's ability to solve FCNC is the complexity of the theoretical models. SUSY particles are expected to have very high masses, making them difficult to produce and detect in experiments. In addition, there are many different SUSY models with different predictions, making it challenging to determine which model, if any, can accurately explain FCNC processes.
If SUSY is found to be the solution to FCNC, it would have significant implications for our understanding of particle physics and the fundamental laws of the universe. It would confirm the existence of a new symmetry and provide evidence for the existence of new particles beyond those in the Standard Model. It could also help explain other open questions in physics, such as the hierarchy problem and the nature of dark matter.