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Nagoya University K.Kimura Collaborated with A.Takamura and T.Yoshikawa

3 rd T2KK workshop. Test of Unitarity by using Oscillations. 9/30-10/1 at Tokyo. Nagoya University K.Kimura Collaborated with A.Takamura and T.Yoshikawa Based on Phys.Lett.B642,372 (2006) and Preliminary paper. Outline of this talk. Introduction

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Nagoya University K.Kimura Collaborated with A.Takamura and T.Yoshikawa

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  1. 3rd T2KK workshop Test of Unitarity by using Oscillations 9/30-10/1 at Tokyo Nagoya University K.Kimura Collaborated with A.Takamura and T.Yoshikawa Based on Phys.Lett.B642,372 (2006) and Preliminary paper

  2. Outline of this talk • Introduction • Search for E and L with large term • CP phase effect in oscillations • Simulation of CP sensitivity • Correlation of CP phase with • Possibility for Unitarity Test in T2KK • Summary

  3. T2K experiment Double-Chooz experiment Introduction One of the main purposes of next generation experiments is to determine the value of 1-3 mixing angle. If , 1-3 mixing angle will be discovered in next generation experiments. In our study, we consider the case that is large and found within next ten years.

  4. T2KK experiment N. Okamura, hep-ph/0509164 T2KK experiment Illuminating plan with two detectors was proposed. M. Ishitsuka et al, PRD72, 033003 (2005) K. Hagiwara et al, PLB637, 266 (2006) Good points of T2KK In the case of large , mass hierarchy is determined. CP phase can be also measured. Precision measurement of other parameters is possible. Are there other good points for T2KK experiment ?

  5. Test of Unitarity In superbeam experiments like T2KK, it is possible to use three kinds of neutrino oscillation channels in principle. Magnitude of each coefficient General feature on CP dependence If we assume Unitarity (CP phase) is the same order as , so the CP phase effect in oscillations is not so small. Is there possibility to detect CP phase effect in oscillations, independently from oscillations ? If possible, we can test the unitarity and may be obtain the clue of new physics.

  6. Region with large • Where is the best point ? • Are there any chance to measure the CP phase • in T2KK by using oscillations ? Next slide We discuss later Search for E and L with largeterm At first, we explore the region EandL where is large, without limiting the experiment of T2KK. Atmospheric Parameter set Korea Kamioka becomes large in the low energy and long baseline.

  7. Analytic Estimation of the Region with large Approximate formula Max Effective masses becomes largest around E=0.43GeV and L=5000km.

  8. We show the energy dependence of and at L=5000km. CP phase effect in oscillations Results At L=5000km, the average of attains to 0.1 around E=0.43GeV. As the CP phase effect remains even after averaging out, it may be observed in the atmospheric neutrino in the case of large .

  9. Experimental Setup • 4MW JPARC beam → 500kt WC Detector ( =0.085GeV) • L=295km(250kt)+1000km(250kt) and L=5000km(500kt) M. Ishitsuka et al, PRD72, 033003 (2005) K. Hagiwara et al, PLB637, 266 (2006) • E=0.4-10 GeV • 10 years run • Only oscillation • Signal: CC (total rates)+QE (96bin normalization free) • Background: NC events • Systematics: normalization (2.5%), tilt (0.01%) • Parameter uncertainty: • Software: GLoBES 3.0 P. Huber et al, hep-ph/0701187

  10. Systematics only +Correlation CP Sensitivity atL=295km+1000km Results At L=295km+1000km, we cannot measure the CP phase effect well in oscillations because of the parameter uncertainties.

  11. Systematics only +Correlation CP Sensitivity at L=5000km Results At L=5000km, there is the possibility for measuring the CP phase in oscillations without affecting the parameter uncertainties.

  12. Correlation of CP phase with at small L/E Why so wrong at L=295km+1000km ? Same Energy Dependence const Results At small L/E, the correction term from and term have almost the same energy dependence.

  13. E=10GeV Correlation of CP phase with at small L/E E=1GeV Results Even 0.6% error of prevents the measurement of CP phase in small L/E. The degeneracy disappear in large L/E.

  14. Systematics only +Correlation CP Sensitivity atL=295km+1000km Results If can be determined at the level of 0.1%, we can measure the CP phase even at L=295km+1000km by using only oscillations.

  15. dependence of CP sensitivity in T2KK (%) (%) Results We obtain the information of the CP phase from oscillations when is below 0.6%.

  16. dependence of CP sensitivity in T2KK Results We obtain the information of the CP phase from oscillations in the case of.

  17. Summary T2KK Results is largest around E=0.43GeV and L=5000km. In such region with large L/E, we can measure the CP phase without affecting the parameter uncertainties. Even in T2KK with small L/E, we will measure the CP phase by oscillations independently from channel, if is found precisely at the level of 0.1% and have the possibility for the test of unitarity.

  18. CP phase Effect in Atmospheric Neutrino In T2KK experiment, a lot of atmospheric neutrino events can be also observed. Probabilities in Atmospheric Neutrino Atmospheric Neutrino Events

  19. Ishitsuka, hep-ex/0406076 L=8000km L=2000km L=5000km L=9000km L=3000km L=6000km L=4000~6000km 9000~10000km L=10000km L=4000km L=7000km SK 1489days 22.5kt T2KK 3650days 500kt E(GeV) E(GeV) E(GeV) ×50 Ave~1.3 Ave~0.1 Effect of term in events

  20. Ishitsuka, hep-ex/0406076 L=8000km L=2000km L=5000km L=9000km L=3000km L=6000km L=2000~4000km 6000~7000km 9000~10000km L=10000km L=4000km L=7000km SK 1489days 22.5kt T2KK 3650days 500kt E(GeV) E(GeV) E(GeV) ×50 Ave~1.3 Ave~0.1 Effect of term in events

  21. Ishitsuka, hep-ex/0406076 L=8000km L=2000km L=5000km L=9000km L=3000km L=6000km L=4000~6000km 9000~10000km L=10000km L=4000km L=7000km SK 1489days 22.5kt T2KK 3650days 500kt E(GeV) E(GeV) E(GeV) ×50 Ave~0.2 Ave~1.3 Effect of term in events

  22. Ishitsuka, hep-ex/0406076 L=8000km L=2000km L=5000km L=9000km L=3000km L=6000km L=2000~4000km 6000~7000km 9000~10000km L=10000km L=4000km L=7000km SK 1489days 22.5kt T2KK 3650days 500kt E(GeV) E(GeV) E(GeV) ×50 Ave~0.2 Ave~1.3 Effect of term in events

  23. L=4000km L=5000km L=6000km E(GeV) Ave~1.3 (15000events) Ave~0.1 (1000events) Effect of term in events In T2KK experiment, a lot of atmospheric neutrino events can be also observed. Ishitsuka, hep-ex/0406076 Probabilities in Atmospheric Neutrino SK 1489days 22.5kt 300events T2KK 3650days 500kt 15000events ×50

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