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Moduli stabilization and flavor structure in 5D SUGRA with multi moduli Yutaka Sakamura (RIKEN) with Hiroyuki Abe (Yukawa Inst.) Aug. 1, arXiv:0807.3725.

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Presentation on theme: "Moduli stabilization and flavor structure in 5D SUGRA with multi moduli Yutaka Sakamura (RIKEN) with Hiroyuki Abe (Yukawa Inst.) Aug. 1, arXiv:0807.3725."— Presentation transcript:

1 Moduli stabilization and flavor structure in 5D SUGRA with multi moduli Yutaka Sakamura (RIKEN) with Hiroyuki Abe (Yukawa Inst.) Aug. 1, arXiv:

2 Problems in Standard Model gauge hierarchy problem Yukawa hierarchy Introduction SUSY? … flavor sym., extra dim., … We consider effective theories of SUSY extra -dimensional models, focusing the flavor structure.

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

4 In effective theories of 5D SUGRA, : Radion (chiral) multiplet (Luty & Sundrum, 2000) Purpose Study the flavor structure of the effective theory for more general 5D SUGRA. In general, the radius is given by chiral multiplets

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

6 5D Lagrangian bulk part (bulk mass) (gauge coupling) =

7 T = zero-mode of  Single modulus case: I I T is the radion multiplet. Moduli

8 5D SUGRA with multi moduli Field content Vector multiplet: Hypermultiplet: Orbifold parity Yukawa hierarchy SUSY matter gauging

9 4D effective theory Yukawa couplings and Soft SUSY parameters (cf. H.Abe & Y.S., 2007) (physical Yukawa coupling)

10 where If, the soft scalar masses are

11 Single modulus case tachyonic soft masses from F X

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

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

14 In this case, When the second term dominates. non-tachyonic flavor universal Soft masses are

15 RR 0y Single modulus case: sequestered Multi moduli case: not sequestered When

16 Integration out for 5D gauge coupling

17 RR y Integration out for When,

18 RR y Integration out for

19

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

21 Summary 5D SUGRA with multi moduli Radius: Additional contribution to the Kahler potential exist, and it can save Tachyonic sfermion masses at tree level SUSY flavor problem


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