Untangling CP Violation and the Mass Hierarchy in Long Baseline Experiments
| dc.creator | Mena, Olga | |
| dc.creator | Parke, Stephen | |
| dc.date | 2004-08-05 | |
| dc.date.accessioned | 2026-07-07T11:31:39Z | |
| dc.date.available | 2026-07-07T11:31:39Z | |
| dc.description | In the overlap region, for the normal and inverted hierarchies, of the neutrino-antineutrino bi-probability space for $ν_μ\to ν_e$ appearance, we derive a simple identity between the solutions in the ($\sin^2 2θ_{13}$, $\sin δ$) plane for the different hierarchies. The parameter $\sin^2 2θ_{13}$ sets the scale of the $ν_μ\to ν_e$ appearance probabilities at the atmospheric $δm^2_{atm} \approx 2.4 \times 10^{-3}$ eV$^2$ whereas $\sin δ$ controls the amount of CP violation in the lepton sector. The identity between the solutions is that the difference in the values of $\sin δ$ for the two hierarchies equals twice the value of $\sqrt{\sin^2 2θ_{13}}$ divided by the {\it critical} value of $\sqrt{\sin^2 2θ_{13}}$. We apply this identity to the two proposed long baseline experiments, T2K and NO$ν$A, and we show how it can be used to provide a simple understanding of when and why fake solutions are excluded when two or more experiments are combined. The identity demonstrates the true complimentarity of T2K and NO$ν$A. | |
| dc.description | 15 pages, Latex, 4 postscript figures. Submitted to New Journal of Physics, ``Focus on Neutrino Physics'' issue | |
| dc.identifier | https://arxiv.org/abs/hep-ph/0408070 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/0408070 | |
| dc.identifier | Phys.Rev.D70:093011,2004 | |
| dc.identifier | doi:10.1103/PhysRevD.70.093011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/197335 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Untangling CP Violation and the Mass Hierarchy in Long Baseline Experiments | |
| dc.type | text |