Matter Effects on Neutrino Oscillations

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Matter Effects on Neutrino Oscillations
Nov. 20, 04 AS

• By G.-L. Lin
• NCTU

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Outline

• Matter effects and Solar Neutrinos
• The world with ?13 and matter enhancement to ?13
• Very Long Baseline Neutrino Oscillation
  Experiments and the Determination of ?13 and
  ?23work in progress with Y. Umeda

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The Neutrino Mixing Matrix
The world without ?13 and ? CHOOZ bound sin22?13lt
0.1
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Neutrino-electron coherent scattering
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Solar Neutrino Oscillations and Matter
Enhancement
Diagonalization ?12??12m
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Wolfenstein, 1978 Mikheyev and Smirnov, 1986
Varying electron density in the
Sun Adiabaticity
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Combine Solar Neutrino and KamLAND experiments
Y.-F. Wang in ICHEP04
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The World with ?13
new mixing!
new mixing!
The ?e ??? oscillation length
For an experiment with the terrestrial beam E??
a few GeV, one drops
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?? does not evolve, while ?e ?? induced by ?13
and Ae.
Diagonalization ?13??13m
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Barger et al., 99 Banuls, Barenboim, Bernabeu, 01
Earth mantle ?5 g/cm3, Eres?6.4 GeV Earth
core ?12 g/cm3, Eres?2.7 GeV
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Stacey, Physics of the Earth, 77
?m5 g/cm3 ?c12 g/cm3
Freund and Ohlsson 99
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Very Long Baseline Neutrino Oscillation
Experiments
In progress with Y. Umeda
Still treat ?0
The solution the equation in the constant-density
approximation
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Use actual Earth density profile for calculation
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How long is the very long baseline?
Banuls, Barenboim, Bernabeu, 01
Gandhi et al., hep-ph/0408361
?Optimized for P(????e) ?1-P(?????) also peaks at
E?? Eres
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?Simultaneous measurements of P(????e) and
P(?????) sensitive to ?13 and ?23. Are they
really Independent? ?P(????e) studied for L9300
km Fermilab to Kamioka.

F. DeJongh, hep-ex/0203005
Consider L9300 km case for P(????e)? P?e and
P(?????) ? P??
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In progress with Y. Umeda
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w.r.t resonant energy
lt 0.03
gt0.03
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Issues to be considered ?The effect of CPV phase
? (?10, Gandhi et al., hep-ph/0408361
) ?Convoluting with the ?? spectrum from the
accelerator
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. DeJongh, hep-ex/0203005
?? CC events before and after oscillations
Sharp cutoff to avoid background
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From the mixing matrix, one derives
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Studying GeV neutrinos on Earth