Knotted strings and leptonic flavor structure
arXiv:1106.6201 · doi:10.1142/S0217732312502240
Abstract
We propose a third idea for the explanation of the leptonic flavor structure in addition to the prominent approaches based on flavor symmetry and anarchy. Typical flavor patterns can be modeled by using mass spectra obtained from the discrete lengths spectrum of tight knots and links. We assume that a string theory model exists in which this idea can be incorporated via the Majorana mass structure of a type I seesaw model. It is shown by a scan over the parameter space that such a model is able to provide an excellent fit to current neutrino data and that it predicts a normal neutrino mass hierarchy as well as a small mixing angle θ_{13}. Startlingly, such scenarios could be related to the dimensionality of space time via an anthropic argument.
7 pages, 2 figures
References in corpus (12)
- Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
- Observation of electron-antineutrino disappearance at Daya Bay
- Cosmological Constraints from the SDSS Luminous Red Galaxies
- Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
- Discrete Flavor Symmetries and Models of Neutrino Mixing
- Non-Abelian Discrete Symmetries in Particle Physics
- Cosmological parameters from combining the Lyman-alpha forest with CMB, galaxy clustering and SN constraints
- Gravitational-Wave Stochastic Background from Kinks and Cusps on Cosmic Strings
- Model Predictions for Neutrino Oscillation Parameters
- Knot Tightening By Constrained Gradient Descent
- Neutrino masses and cosmic radiation density: Combined analysis
- Neutrino mass hierarchy and the origin of leptonic flavor mixing from the right-handed sector