The discovery of the Higgs boson and its measured mass has implications for supersymmetry, which is a theoretical framework that proposes a symmetry between particles with integer spin (bosons) and particles with half-integer spin (fermions). In supersymmetric theories, every known particle has a corresponding supersymmetric partner.
The mass of the Higgs boson provides important constraints on supersymmetric models. In particular, the measured mass of the Higgs boson at around 125 gigaelectronvolts (GeV) has implications for the superpartner particles, especially the top quark's supersymmetric partner, called the stop quark.
Supersymmetry predicts that the masses of the top quark and the stop quark should be roughly equal due to the symmetry between fermions and bosons. However, if the stop quark's mass were significantly lighter than the top quark's mass, it would imply that the Higgs boson mass would be pushed to much higher values due to quantum corrections. This would destabilize the Higgs boson's mass and make the universe less stable.
The fact that the Higgs boson was discovered with a mass around 125 GeV implies that if supersymmetry exists, the stop quark's mass should not be significantly lighter than the top quark's mass. This puts constraints on the parameter space of supersymmetric models and influences the search strategies and experimental efforts to discover supersymmetric particles at colliders like the LHC.
It's important to note that while the mass of the Higgs boson provides constraints on supersymmetry, it does not definitively prove or disprove the existence of supersymmetry. The search for supersymmetric particles continues, and future experimental data and theoretical developments will shed more light on the relationship between the Higgs boson and supersymmetry.