maani said:Hi, did I understand this correct: The Yukawa matrices are the couplings of the particles to the Higgs filed. They are in general not diagonal, but could be diagonalized by proper unitary matrices. The physical masses of the particles are the eigenvalues of that diagonal matrix .
Yukawa matrices are mathematical representations of the interactions between different types of particles. They are used in the Standard Model of particle physics to explain the masses of particles and their interactions with the Higgs field.
Yukawa matrices play a crucial role in determining the stability of the universe. Their values influence the strength of the interactions between particles, which in turn affects the stability of atoms and the formation of matter. Without Yukawa matrices, the universe would not be able to sustain complex structures like stars and galaxies.
The Higgs field is a fundamental part of the Standard Model and is responsible for giving particles their masses. Without the Higgs field, Yukawa matrices would not be able to accurately predict the masses of particles. The Higgs field interacts with Yukawa matrices to determine the strength of particle interactions and ultimately the mass of particles.
Scientists use experimental data from particle colliders and other experiments to determine the values of Yukawa matrices. By studying the interactions between particles, they can infer the values of the matrices and refine their understanding of the relationships between particles and their masses.
While the Standard Model, which includes the use of Yukawa matrices, has been incredibly successful in predicting and explaining particle masses, there are still some unanswered questions and gaps in our understanding. Some alternative theories, such as supersymmetry and grand unification, propose different explanations for particle masses and interactions. However, these theories have not yet been supported by experimental evidence and Yukawa matrices remain an essential tool for understanding particle masses.