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more slides. 10/9/2008. Z. W. Matter effect arises from a difference in interaction amplitudes between different species of neutrinos. Charged Current for electron type only. Neutral Current for all neutrino types. Matter effect with 2-neutrinos. With matter 3 gm/cc. No matter.

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  1. more slides • 10/9/2008

  2. Z W Matter effect arises from a difference in interaction amplitudes between different species of neutrinos. Charged Current for electron type only Neutral Current for all neutrino types

  3. Matter effect with 2-neutrinos With matter 3 gm/cc No matter Osc. probability: 0.0025 eV^2, L= 2000 km, Theta=10deg

  4. matter effect ~E ~7500 km no CPV. magic bln CPV term approximate dependence ~L/E solar term linear dep. CP asymmetry grows as θ13 becomes smaller

  5. Example of oscillation probability with matter effects L=2540 km Probability solar term rise atm term osc matter effect Energy (GeV)

  6. Not known Has CP phase Don’t know sign 0.0024 0.000076 Measurements not yet precise

  7. FNAL to DUSEL long baseline experiment Beam requirement: >1 MW, 1000 to 2000 km 300 kT water Cherenkov

  8. 5.2 10²⁰ POT for 1 MW and 10⁷ sec

  9. Water Cherenkov Detector 1 module fid: 100 kT 300 kT

  10. Event type 300kT, 120 GeV 0.5 deg. 300kT, 60 GeV 0 deg. Numu CC no osc 161820 272693 Numu CC with osc 68220 124479 Event rate Evt rate: 1 MW for 3 yrs • Important (esp. θ23 ~ 45 deg.) with possibility of new physics. • Either 120 GeV or 60 GeV beam can be used: two oscillation nodes. • Measurement dominated by systematics (see hep/0407047) (~1%) neutrino spectrum High precision sin²2θ23, ∆m²₃₂ yr~2x10⁷ sec

  11. νμ→νe Probability (for some CP angles and the mass ordering) superimposed on charged current νμ rate cp=0deg cp=0deg + -

  12. Electron neutrino appearance spectra Normal Reversed • All background sources are included. • S/B ~ 2 in peak. • NC background about same as beam nue backg. • For normal hierarchy sensitivity will be from neutrino running. • For reversed hierarchy anti-neutrino running essential. • Better efficiency at low energies expected with higher PMT counts. neutrino neutrino antineutrino antineutrino

  13. Electron neutrino appearance spectra Normal Reversed • LAR assumptions • 80% efficiency on electron neutrino CC events. • sig(E)/E = 5%/sqrt(E) on quasielastics • sig(E)/E = 20%/sqrt(E) on other CC events neutrino neutrino antineutrino Spectra and sensitivity is the work of M. Bishai, Mark Dierckxsens, Patrick Huber + many helpers antineutrino

  14. WBLE to DUSEL(1300km) 3sig, 5sig discovery regions. 300 kT WCh 60 10^20 POT for each nu and anu th13 mass ordering CP violation Stat+syst 0.004 0.008 0.01 CP Fraction: Fraction of the CP phase (0-2pi) covered at a particular confidence level. Report the value of th13 at the 50% CP fraction.

  15. Program should lead to measurement of 3-generation parameters without ambiguities. • CP measurement is approximately independent of θ13 if not background limited. Need large detector independent of θ13 value. 300 kT water Cherenkov detector @DUSEL Measurement of CP phase and Sin²2θ13 at several points. All ambiguities and mass hierarchy are resolved.

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