Neutrino oscillations with three flavors in matter: Applications to neutrinos traversing the Earth
Tommy Ohlsson, Hakan Snellman
Abstract
Analytic formulas are presented for three flavor neutrino oscillations in matter in the plane wave approximation. We calculate in particular the time evolution operator in both mass and flavor bases. We also find the transition probabilities expressed as functions of the vacuum mass squared differences, the vacuum mixing angles, and the matter density parameter. The application of this to neutrino oscillations for both atmospheric and long baseline neutrinos in a mantle-core-mantle step function model of the Earth's matter density profile is discussed.
Create a lesson
Related papers
Chiral soliton lattice in inhomogeneous magnetic fields
Tomas Brauner, Ramkumar Radhakrishnan
From the November Revolution toward the Millennium
Chris Quigg
An Axial UA(1)Lμ-Lτ: UV Completion and Experimental Searches
Rundong Fang, Jinhui Guo, Ming Li et al.
Hunting long-lived doubly charged scalars at the HL-LHC
Biplob Bhattacherjee, Rituparna Ghosh, Swagata Mukherjee et al.
Enigmatic properties of Ξ(1620) and Ξ(1690)
Taísa Veloso, K. P. Khemchandani, A. Martinez Torres et al.
Exploring Z/γ-mediated heavy FCNCs at the FCC-ee
Abhik Sarkar, Subhajit Kala, Amir Subba et al.