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High Energy Physics - Phenomenology

arXiv:1606.04054 (hep-ph)
[Submitted on 13 Jun 2016 (v1), last revised 13 Dec 2016 (this version, v3)]

Title:Connecting Leptonic Unitarity Triangle to Neutrino Oscillation with CP Violation in Vacuum and in Matter

Authors:Hong-Jian He, Xun-Jie Xu
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Abstract:Leptonic unitarity triangle (LUT) provides fundamental means to geometrically describe CP violation in neutrino oscillation. In this work, we use LUT to present a new geometrical interpretation of the vacuum oscillation probability, and derive a compact new oscillation formula in terms of only 3 independent parameters of the corresponding LUT. Then, we systematically study matter effects in the geometrical formulation of neutrino oscillation with CP violation. Including nontrivial matter effects, we derive a very compact new oscillation formula by using the LUT formulation. We further demonstrate that this geometrical formula holds well for applications to neutrino oscillations in matter, including the long baseline experiments T2K, MINOS, NOvA, and DUNE.
Comments: PRD Final Version (9pp, 5 Figs). All results/conclusions un-changed. Further added new Fig.5 for analysis of LBL experiment DUNE. Only minor rewording to clarify the Importance of this work
Subjects: High Energy Physics - Phenomenology (hep-ph); Cosmology and Nongalactic Astrophysics (astro-ph.CO); High Energy Physics - Experiment (hep-ex)
Cite as: arXiv:1606.04054 [hep-ph]
  (or arXiv:1606.04054v3 [hep-ph] for this version)
  https://doi.org/10.48550/arXiv.1606.04054
Journal reference: Phys. Rev. D 95, 033002 (2017)
Related DOI: https://doi.org/10.1103/PhysRevD.95.033002

Submission history

From: Hong-Jian He [view email]
[v1] Mon, 13 Jun 2016 18:16:47 UTC (425 KB)
[v2] Thu, 30 Jun 2016 19:23:59 UTC (424 KB)
[v3] Tue, 13 Dec 2016 16:54:05 UTC (531 KB)
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