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CP and T Trajectory Diagrams for a Unified Graphical Representation of Neutrino Oscillations
High Energy Physics - Phenomenology · Submitted 15 Apr 2002
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Since the CP and the T conjugate processes are related by CPT symmetry, even in the presence of matter, these two trajectory diagrams are closely related with each other and form a unified description of neutrino oscillations in matter.
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The abstract, sentence by sentence
Recently the CP trajectory diagram was introduced to demonstrate the difference between the intrinsic CP violating effects to those induced by matter for neutrino oscillation. In this paper we introduce the T trajectory diagram. In these diagrams the probability for a given oscillation process is plotted versus the probability for the CP- or the T-conjugate processes, which forms an ellipse as the CP or T violating phase is varied. Since the CP and the T conjugate processes are related by CPT symmetry, even in the presence of matter, these two trajectory diagrams are closely related with each other and form a unified description of neutrino oscillations in matter.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Recently the CP trajectory diagram was introduced to demonstrate the difference between the intrinsic CP violating effects to those induced by matter for neutrino oscillation. | background 1.00 | 0.05 | 0.06 | asserted 1.00 |
| s1 | In this paper we introduce the T trajectory diagram. | contribution 1.00 | 0.91 | 0.07 | asserted 0.99 |
| s2 | In these diagrams the probability for a given oscillation process is plotted versus the probability for the CP- or the T-conjugate processes, which forms an ellipse as the CP or T violating phase is varied. | method 0.76 | 0.53 | 0.14 | asserted 1.00 |
| s3 | Since the CP and the T conjugate processes are related by CPT symmetry, even in the presence of matter, these two trajectory diagrams are closely related with each other and form a unified description of neutrino oscillations in matter. | interpretation 0.85 | 0.48 | 0.65 | asserted 1.00 |
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The paper
Original abstract
Recently the CP trajectory diagram was introduced to demonstrate the difference between the intrinsic CP violating effects to those induced by matter for neutrino oscillation. In this paper we introduce the T trajectory diagram. In these diagrams the probability for a given oscillation process is plotted versus the probability for the CP- or the T-conjugate processes, which forms an ellipse as the CP or T violating phase is varied. Since the CP and the T conjugate processes are related by CPT symmetry, even in the presence of matter, these two trajectory diagrams are closely related with each other and form a unified description of neutrino oscillations in matter.
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References
How the literature uses it
4 arXiv papers cite this in 5 sentences
Papers citing it · 3 sentences without a confident label
Uses its method or tool 1 paper
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Here, we take the particular one in $P - P^T$ space [ref] as shown in Fig. [ref].
Parameter Degeneracy in Neutrino Oscillation -- Solution Network and Structural Overview -- · Parameter degeneracy as an invariance of the oscillation probability under discrete mapping · 0.81
Cites it as background 1 paper
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These have been utilized to understand many aspects of neutrino oscillations – see, e.g., [ref] .
On T-Invariance Violation in Neutrino Oscillations and Matter Effects · Bi-Probability Plots · 0.84
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