https://doi.org/10.1140/epjc/s2005-02163-7
theoretical physics
Leptonic unitarity triangles in matter
1
CCAST (World Laboratory), P.O. Box 8730, 100080, Beijing, China
2
Institute of High Energy Physics, Chinese Academy of Sciences, P.O. Box 918 (4), 100049, Beijing , P.R. China
* e-mail: zhanghe@mail.ihep.ac.cn
We present a geometric description of lepton flavor mixing and CP violation in matter by using the language of leptonic unitarity triangles. The exact analytical relations for both sides and inner angles are established between every unitarity triangle in vacuum and its effective counterpart in matter. The typical shape evolution of six triangles with the terrestrial matter density is illustrated for a realistic long-baseline neutrino oscillation experiment.
© Springer-Verlag, 2005