1. Sfermion Flavor and Proton Decay in Minimal SU(5) GUT with High-scale SUSY Natsumi Nagata 26 June, 2014 PASCOS 2014 Warsaw, Poland Based on N. Nagata and S. Shirai, JHEP 1403 (2014) 049. Kavli IPMU (WPI), University of Tokyo

2. LHC and Supersymmetry (SUSY)  Direct searches of SUSY particles  126 GeV Higgs mass Masses of SUSY particles, especially those of squarks and gluinos, are severely constrained. Heavy stops explain the observed value. SUSY scale may be somewhat higher than the electroweak scale. Y. Okada, M. Yamaguchi, T. Yanagida (1991), H. E. Haber, R. Hempfling (1991) J. R. Ellis, G. Ridolfi, F. Zwirner (1991)

3. High-scale SUSY model On the assumption of a generic Kahler potential and no singlet field in the SUSY breaking sector Anomaly mediation (Loop suppressed) L. Randall and R. Sundrum (1998) G.F. Giudice, M.A. Luty, H. Murayama, R. Rattazzi (1998)

4. On the assumption of a generic Kahler potential and no singlet field in the SUSY breaking sector Anomaly mediation (Loop suppressed) L. Randall and R. Sundrum (1998) G.F. Giudice, M.A. Luty, H. Murayama, R. Rattazzi (1998) M S = 10 (2-3) TeV 126 GeV Higgs boson M. Ibe, T.T. Yanagida (2012). High-scale SUSY model

5. On the assumption of a generic Kahler potential and no singlet field in the SUSY breaking sector (Loop suppressed) M S = 10 (2-3) TeV M S = O(1) TeV DM candidate High-scale SUSY model

6. M S = 10 (2-4) TeV O(1) TeV pure gravity mediation, M. Ibe, T. T. Yanagida (2012) simply unnatural supersymmetry, N. Arkani-Hamed, et.al. (2012) spread supersymmetry, L. J. Hall and Y. Nomura (2012) mini-split, A. Arvanitaki, et.al. (2012) High-scale SUSY model

7. Flavor/CP problem in High-scale SUSY Meson oscillations Electric Dipole Moments Sfermion mass matrix Large amount of flavor/CP violation in sfermion sector is still allowed. T. Moroi and M. Nagai (2013), D. McKeen, M. Pospelov, A. Ritz (2013) W. Altmannshofer, R. Harnik, J. Zupan (2013), K. Fuyuto, J. Hisano, N. Nagata, K. Tsumura (2013)

8. Gauge coupling unification in high-scale SUSY Zoom U(1) SU(2) SU(3) Low-scale SUSY High-scale SUSY Gauge coupling unification is preserved with great accuracy. Supersymmetric grand unification is promising also in the case of high-scale SUSY. J. Hisano, T. Kuwahara, N. Nagata (2013).

9. Proton decay in high-scale SUSY Proton lifetime evades the current experimental limit in the case of High-scale SUSY. Color-triplet Higgs exchange induces proton decay J. Hisano, D. Kobayashi, T. Kuwahara, N. Nagata (2013). T. Goto and T. Nihei (1999) V. Lucas and S. Raby (1997)

10. Flavor violation and proton decay In high-scale SUSY models, large amount of flavor violation can be present. On the other hand, the proton decay rate highly depends on the flavor violation. Goal  To evaluate the proton decay rate in the presence of flavor violation and discuss the current experimental constraints  To look for a specific signature of the proton decay associated with the sfermion flavor violation

11. Minimal SUSY SU(5) GUT MSSM matter fields are embedded in a representation MSSM Higgs fields are embedded into Color-triplet Higgs multiplets induce the baryon # violating interactions MSSM Higgs superfields (M HC : mass of color-triplet Higgs) S. Dimopoulos and H. Georgi (1981) N. Sakai (1981)

12. Dim-5 effective operators Exchanges of color-triplet Higgs multiplets induce the dimension-five baryon-number violating operators. Effective superpotential QQQL UEUD

13. Sfermion Flavor Violation Sfermion mass term Gluino exchanging process gives rise to the dominant contribution in the presence of sfermion flavor violation. In particular, plays an important role. QQQL First, consider the p -> K + ν mode.

14. Flavor violation significantly enhances the proton decay rate p → K + ν M S = 100 TeV, M 1 = 600 GeV, M 2 = 300 GeV, M 3 = -2 TeV, μ = M S, M Hc = 10 16 GeV, tanβ = 5 Sensitive to the flavor violation in the left-handed squark mass matrix N. Nagata, S. Shirai (2013). QQQL Bands correspond to uncertainty coming from unknown phases in GUT Yukawa

15. Proton decay mode The rates of various decay modes are enhanced in the presence of flavor violation. Which mode provides smoking gun signature for the sfermion flavor violation ?

16. Flavor violation and proton decay mode In the minimal flavor violation case, only the anti-neutrino decay modes have sizable decay rates. focus on the charged lepton decay modes These modes are also induced by the X-boson exchange Since the process is induced by the gauge interactions, the decay modes including different generations are suppressed Among them, the p → π 0 μ + mode is promising

17. Not only the flavor violation in the left-handed squark mass matrix, but also that in the right-handed up-type squark one enhances the decay rate of the mode. p → π 0 μ + M S = 100 TeV, M 1 = 600 GeV, M 2 = 300 GeV, M 3 = -2 TeV, μ = M S, M Hc = 10 16 GeV, tanβ = 5 N. Nagata, S. Shirai (2013). QQQLUEUD Bands correspond to uncertainty coming from unknown phases in GUT Yukawa

18. Summary We have studied the impact of sfermion flavor structure on proton decay in the minimal SUSY SU(5) GUT Specific proton decay modes open in the presence of sfermion flavor violation Future experiments may catch up the signal Interplay with other precision measurements

19. Backup

20. Higgs mass N. Nagata, S. Shirai (2013).

21. Meson-antimeson oscillation N. Nagata, S. Shirai (2013).

22. Electric Dipole Moments

23. Direct vs. Indirect computations They are consistent with each other within their accuracy. Y. Aoki, E. Shintani, and A. Soni, arXiv:1304.7424 Hadron matrix elements

24. Error estimate N. Nagata, S. Shirai (2013).

25. SUSY violating effects

26. Proton decay induced by X-boson exchange M S = 100 TeV, M 1 = 600 GeV, M 2 = 300 GeV, M 3 = -2 TeV, μ = M S, M X = 10 16 GeV, tanβ = 5 Lifetime for p→e + π 0 : Experimental limit:

27. Dim-5 proton decay via Planck suppressed operators M. Dine, P. Draper, W. Shepherd, arXiv: 1308.0274.

28. Experimental bound Super-Kamiokande

29. Constraints on flavor violation from proton decay M S = 100 TeV, M 1 = 600 GeV, M 2 = 300 GeV, M 3 = -2 TeV, μ = M S, M Hc = 10 16 GeV, tanβ = 5 N. Nagata, S. Shirai (2013).