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File:Oscillations tau long.svg

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matter, so put the lightest at zero *) ms2 = Ifms23, \ms12]; ms3 = Ifms12 + \ms23]; U := If[a == 1, If[b == 1, c13 c12, If[b == 2, c13 s12, If)]]], If[a == 2, If), If), If]], If[a == 3, If), If), If]]]]]; CS, i]] U, i] E^(-2 I ots If]] LoverE), {i, 1, 3}]]]; (*********************************) ots = 1.2669327621645516; (* constant *) (* Neutrino parameters *) \ \23 = ArcSin]/2; \12 = ArcSin]/2; \13 = ArcSin]/2; \ = 0; \ms23 = 0.00232`; \ms12 = 0.0000759`; (* Initial neutrino and max L/E for plot *) initial = 3; maxLE = 38000; Plot[{ P[initial, 1, LoverE, \, \12, \23, \13, \ \ms12, \ms23, False], P[initial, 2, LoverE, \, \12, \23, \13, \ \ms12, \ms23, False], P[initial, 3, LoverE, \, \12, \23, \13, \ \ms12, \ms23, False]}, {LoverE, 0, maxLE}, PlotRange -> {0, 1}, PlotPoints -> 500, PlotStyle -> {{Black, Thick}, {Blue, Thick}, {Red, Thick}}, Frame -> True, FrameLabel -> {{"Probability", ""}, {"L/E (km/GeV)", "Initial " <> If] <> " Neutrino"}}, BaseStyle -> {FontSize -> 18}, ImageSize -> 500]
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CS = Re^2 + Im^2; c12 := Cos12]; c13 := Cos13]; c23 := Cos23]; s12 := Sin12]; s13 := Sin13]; s23 := Sin23]; P_, \_, LoverE_, \_, \12_, \23_, \13_, \ \ms12_, \ms23_, inverted_] = Block[{U, ms1, ms2, ms3}, ms1 = Ifms23 - \ms12, 0]; (* Absolute mass does not
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463: 64: 60: 56: 147:= 0.10 (If it turns out to be much smaller or zero, the small wiggles shown here will be much smaller or non-existent, respectively.) 52: 48: 42: 372: 220: 185: 139:
Vacuum oscillation probabilities for electron (black), muon (blue) and tau (red) neutrinos for the following parameter values:
101: 408: 164:δ = 0 (If it is actually large, these probabilities will be somewhat distorted and different for neutrinos and antineutrinos.) 73: 505:
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File:Oscillations tau long.svg
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18:24, 26 August 2011
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Neutrino oscillation

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