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Moduli stabilization and flavor structure in 5D SUGRA with multi moduli

Moduli stabilization and flavor structure in 5D SUGRA with multi moduli. Yutaka Sakamura (RIKEN) in collaboration with Hiroyuki Abe (Yukawa Inst.) June 17, 2008@SUSY08. Introduction. Problems in Standard Model gauge hierarchy problem Yukawa hierarchy Charge quantization

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Moduli stabilization and flavor structure in 5D SUGRA with multi moduli

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  1. Moduli stabilization and flavor structure in 5D SUGRA with multi moduli Yutaka Sakamura (RIKEN) in collaboration with Hiroyuki Abe (Yukawa Inst.)June 17, 2008@SUSY08

  2. Introduction Problems in Standard Model • gauge hierarchy problem • Yukawa hierarchy • Charge quantization • Anomaly cancellation SUSY? flavor sym., extra dim., … GUT? …

  3. Yukawa hierarchy from extra dimension (Arkani-Hamed & Schmaltz, PRD61(2000)033005;…) zero-mode: 5D mass e.g.) (0) f i y 0 pR (4D Yukawa) = (overlap integral)

  4. SUSY flavor problem In 5D SUGRA, : Radion (chiral) multiplet Yukawa hierarchy Flavor-dependent SUSY breaking (e.g. Scherk-Schwarz SUSY breaking)

  5. 5D SUGRA with Multi moduli Yukawa hierarchy SUSY breaking cf.) In string context, “Mirror mediation”, Conlon, JHEP0803 (2008) 025

  6. 5D (off-shell) SUGRA on S /Z 1 2 (Kugo & Ohashi, 2000-2002) Field content • Weyl multiplet: • Vector multiplet:(One of them is the graviphoton multiplet.) • Hypermultiplet: physical compensator Norm function where

  7. (gauge coupling) = (bulk mass) 5D Lagrangian bulk part

  8. Moduli: I T = zero-mode of S I Radius: Single modulus case: T is the radion multiplet.

  9. gauging SUSY 5D SUGRA with multi moduli Yukawa hierarchy Field content Vector multiplet: Hypermultiplet: matter Orbifold parity

  10. 4D effective theory (cf. H.Abe & Y.S. , PRD75 (2007) 025018) Soft SUSY parameters physical Yukawa coupling

  11. Single modulus case (cf. H.Abe’s talk) X tachyonic soft masses from F

  12. If the second term of dominates and , No SUSY flavor problem Multi moduli case

  13. e.g.) Vacuum All moduli are stabilized.

  14. from KK vector multiplets In this case, When the second term dominates. • Positive soft squared masses • No SUSY flavor problem

  15. 5D gauge coupling Integration out for

  16. Integration out for When , y pR

  17. Integration out for When , y pR

  18. Integration out for

  19. Superconformal gauge-fixing … (# of physical vector multiplets) = n-1 Single modulus case: no KK vector multiplets Physical vector multiplets Vecter multiplets (I=1,2,…,n) : parity-odd: parity-even

  20. When 0 pR y Single modulus case: sequestered Multi moduli case:not sequestered

  21. Summary 5D SUGRA with multi moduli Radius: Yukawa hierarchy SUSY breaking Additional contribution to the Kahler potential can save • Tachyonic sfermion masses at tree level • SUSY flavor problem

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