Quark and Lepton Masses from Gaussian Landscapes

Abstract

The flavor structure of the Standard Model might arise from random selection on a landscape. We propose a class of simple models, ``Gaussian landscapes,'' where Yukawa couplings derive from overlap integrals of Gaussian wavefunctions on extra-dimensions. Statistics of vacua are generated by scanning the peak positions of these zero-modes, giving probability distributions for all flavor observables. Gaussian landscapes can broadly account for all observed flavor patterns with very few free parameters. For example, the generation structure in the quark sector follows from the overlap integrals for both the up and down type Yukawas sharing the localized wavefunctions of the quark doublets and the Higgs boson. Although Gaussian landscapes predict broad probability distributions, the flavor observables are correlated and we show that accounting for measured flavor parameters creates sharper distributions for future neutrino measurements.

5 pages, 1 figure; v2: clarifications added; v3: slightly extended from version to appear in PRL

References in corpus (7)

• Flux Compactification
• Hierarchies without Symmetries from Extra Dimensions
• Vector Bundles And F Theory
• Neutrino Mass Anarchy
• Likely Values of the Cosmological Constant
• Quark and lepton masses and mixing in the landscape
• Statistical Understanding of Quark and Lepton Masses in Gaussian Landscapes

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• Flavor Structure in F-theory Compactifications
• Life at the Interface of Particle Physics and String Theory
• Right-handed Neutrinos in F-theory Compactifications
• Neutrino Mass Priors for Cosmology from Random Matrices
• Likely values of the Higgs vev
• GUT Relations from String Theory Compactifications
• Boundary definition of a multiverse measure
• Statistical Understanding of Quark and Lepton Masses in Gaussian Landscapes
• Searching for the Standard Model in the String Landscape : SUSY GUTs
• Statistics of Flux Vacua for Particle Physics
• Neutrino mixing and mass hierarchy in Gaussian landscapes
• Neutrino Oscillation Observables from Mass Matrix Structure
• Large Mixing Angles From Many Right-Handed Neutrinos
• Anthropic Origin of the Neutrino Mass from Cooling Failure
• Quark Masses: An Environmental Impact Statement