Seesaw and noncommutative geometry

The Inverse Seesaw Mechanism in Noncommutative Geometry

In this publication we will implement the inverse Seesaw mechanism [2] into the noncommutative framework [1] on the basis of the AC-extension of the Standard Model [3]. The main difference to the classical AC model is the chiral nature of the AC fermions with respect to a U(1)X extension of the Standard Model gauge group. It is this extension which allows us to couple the right-handed neutrinos...

Seesaw geometry and leptogenesis

The representation of the seesaw orthogonal matrix in the complex plane establishes a graphical correspondence between neutrino mass models and geometrical configurations, particularly useful to study relevant aspects of leptogenesis. We first derive the CP asymmetry bound for hierarchical heavy neutrinos and then an expression for the effective leptogenesis phase, determining the conditions fo...

Seesaw Mechanism in Warped Geometry

We show how the seesaw mechanism for neutrino masses can be realized within a five dimensional (5D) warped geometry framework. Intermediate scale standard model (SM) singlet neutrino masses, needed to explain the atmospheric and solar neutrino oscillations, are shown to be proportional to MPl exp((2c − 1)πkR), where c denotes the coefficient of the 5D Dirac mass term for the singlet neutrino wh...

Noncommutative geometry

Noncommutative Geometry and Quantization

The purpose of these lectures is to survey several aspects of noncommutative geometry, with emphasis on its applicability to particle physics and quantum field theory. By now, it is a commonplace statement that spacetime at short length —or high energy— scales is not the Cartesian continuum of macroscopic experience, and that older methods of working with functions on manifolds must be rethough...