Quark and lepton masses from Gaussian landscapes

Area of Science:

• Theoretical Physics
• High Energy Physics
• String Theory

Background:

• The Standard Model (SM) describes fundamental particles and forces.
• The origin of the SM's flavor structure, including fermion masses and mixing, remains unexplained.
• Landscape scenarios propose a vast number of possible vacuum states in theories beyond the SM.

Purpose of the Study:

• To propose a new class of models,
• Gaussian landscapes
• , to explain the SM flavor structure.
• To investigate if these models can reproduce observed flavor patterns using fundamental principles.
• To explore the predictive power of Gaussian landscapes for future flavor physics experiments.

Main Methods:

• Developing models where Yukawa couplings arise from overlap integrals of Gaussian wave functions in extra dimensions.
• Generating vacuum statistics by scanning peak positions of Gaussian zero-modes.
• Calculating probability distributions for flavor observables.

Main Results:

• Gaussian landscapes can account for all observed SM flavor patterns with a minimal set of free parameters.
• The model naturally generates correlated probability distributions for flavor observables.
• Incorporating measured parameters significantly sharpens predictions for future neutrino measurements.

Conclusions:

• Gaussian landscapes offer a compelling framework for understanding the origin of SM flavor.
• The model demonstrates predictive power, particularly for future neutrino physics.
• This approach provides a novel mechanism linking fundamental wave function properties to observable particle physics phenomena.