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KNOTTED STRINGS AND LEPTONIC FLAVOR STRUCTURE

2011/06/30 by Thomas W. Kephart, Philipp Leser, Heinrich Päs
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Flavor #Geometry #MAJORANA #Mass spectrum #Mixing (physics) #Neutrino #Neutrino Physics Research #Parameter space #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Seesaw mechanism #Seesaw molecular geometry #Space (punctuation) #String (physics) #Symmetry (geometry) #Theoretical physics #hep-ph

paper · pdf · doi:10.1142/s0217732312502240

published as Mod. Phys. Lett. A, Vol. 27, No. 38 (2012) 1250224 · 7 pages, 2 figures

openalex publication_date 2012/11/28 · arxiv created 2012/11/29 · arxiv updated 2012/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 spacetime via an anthropic argument.

Citations