2009/10/05 by Atsushi Watanabe, Koichi Yoshioka
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boundary (topology) #Brane #Extra dimensions #Geometry #MAJORANA #Majorana equation #Mathematical analysis #Mathematics #Neutrino #Neutrino Physics Research #Neutrino oscillation #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Seesaw mechanism #Seesaw molecular geometry #Spacetime #Sterile neutrino #Theoretical physics #Warp drive #hep-ph
paper · pdf · doi:10.1016/j.physletb.2009.12.034
published as Phys.Lett.B683:289-293,2010 · 12 pages
arxiv created 2009/10/05 · openalex publication_date 2009/12/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The seesaw-induced neutrino mass is discussed in a generic class of curved spacetime, including the flat and warped extra dimensions. For Majorana masses in the bulk and on the boundary, the exact forms of seesaw-induced masses are derived by using the Kaluza-Klein mode expansion and the lepton number violating correlator for bulk fermion. It is found that the neutrino mass is determined without the knowledge of wave functions and whole background geometry when the metric factor is fixed on the boundary, e.g. by solving the hierarchy problem.