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LBNE Long-Baseline Neutrino Experiment Document 5341-v7

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Neutrino Oscillations in the Project-X Era

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internal document
Submitted by:
Milind Diwan
Updated by:
Milind Diwan
Document Created:
04 Jan 2012, 13:05
Contents Revised:
05 Jan 2012, 21:34
Metadata Revised:
05 Jan 2012, 21:34
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If the recent indications of a modest size for the mixing angle $\theta_{13}$ persist then the
science of neutrino oscillations will shift to precision determination of the CP phase and explicit
demonstration of CP violation. Any additional contributions from new physics to the oscillation channel
$\nu_\mu \to \nu_e$ could be uncovered by multiple constraints in the ($\theta_{13}, \delta_{CP}$) parameter
space. In long baseline experiments such constraints will require examination of the oscillation strength at higher $L/E$ where the effects of CP violation will be large. For the fixed baseline of 1300 km for LBNE (Fermilab to Homestake), it will be important
to examine oscillations at low energies ($<1.5$ GeV) with good statistics, low backgrounds, and excellent
energy resolution. The accelerator upgrades in the Project-X era have the potential to offer the beams of the
needed intensity and quality for this advanced science program. In this note we examine the event rates for
high intensity low energy running of Project-X and the Fermilab Main Injector complex,
and the precision in the ($\theta_{13}, \delta_{CP}$) space.

We find that the best way to obtain multiple constraints in the neutrino sector is
to perform high statistics experiments with low energy neutrino beams over long distances.
For oscillation physics at low energies the charged current cross section is dominated by quasielastic scattering.
For the quasielastic final state any large detector capable of measuring single lepton final states is adequate, however
the water Cherenkov detector is the only one that can achieve the needed target mass ($\sim$ 200kTon)
to obtain the needed statistical precision.

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