Constraints on SUSY Seesaw Parameters from ... - SUSY06

Constraints on SUSY Seesaw Parameters from Leptogenesis and Lepton Flavor Violation Frank Deppisch [email protected]

DESY in collaboration with D. K. Ghosh (Delhi), H. Päs (Hawaii), A. Redelbach (GSI), R. Rückl (Würzburg) hep-ph/0511062, hep-ph/0310053

SUSY 06, Irvine 12-17 June 2006

Overview ●

Minimal SUGRA

●

SUSY Seesaw –

Charged Lepton Flavor Violation

–

Leptogenesis

●

Degenerate νR

●

Hierarchical νR

●

Conclusion

15/06/06

Constraints on SUSY Seesaw from Leptogenesis and LFV

2/14

mSUGRA Theoretical framework to explain SUSY breaking ● Universality of SSB masses at MGUT ●

No Lepton Flavor Violation

●

Five free parameters: –

m0

common scalar mass

–

m1/2

common gaugino mass

–

A0

common trilinear coupling

–

tan β

ratio of Higgs VEVs

–

sign µ sign of Higgs mixing Scenario SPS1a: m0 = 100 GeV, m1/2 = 250 GeV A0 = -100 GeV, tan β = 10, sign µ = +

15/06/06


3/14

SUSY Seesaw Neutrinos

●

●

Superpotential 1 cT   W =W MSSM −  R M  cR  cT R Y  L⋅H u 2 18 free parameters

H M

L

ν

c

ν

L

c

Effective light neutrino mass matrix

 ●

H

T D

0 m mD M



T

m=Y  M ⇒

−1

0 2

0

Y  〈 H u 〉 for Y  〈 H u 〉≪ M 2

m≈0.3eV Y 



M 1014 GeV



−1

Neutrino masses and oscillation mixing U m U =diag  m , m , m  , U =U 12, 23, 13,  ,1, 2  T

1

15/06/06

2

3


4/14

SUSY Seesaw The R matrix

●

Problem: Reconstruction of superpotential by neutrino observables alone not possible

●

Independent parameters: 9 (U, mi) vs 18 (Yν, Mi)

●

Parametrization of Yukawa matrix (Casas, Ibarra 2001) 

Y  =diag M  ⋅R⋅diag m ⋅U ,



R

T

R R=1,

c 2 c3 −c1 s2−s1 s3 c 3 s1 s3−c1 s2 c 3 R= c 2 s3 c1 c3−s1 s 2 s3 −s1 c3−c1 s2 s3 s2 s1 c 2 c1 c 2 with complex angles i = x i i y i

15/06/06


 5/14

SUSY Seesaw Sleptons

●

●

Neutrino flavor mixing radiatively induces slepton flavor mixing from MGUT to the right-handed neutrino mass scales Slepton off-diagonal mass corrections

−1 2  m =  L ij 8 2 3 m0 A0   Y  L Y  ij

  m  =0 2 R ij

 

M GUT L=log ij M Ri

 m 

2  ij LR

−3 A0  = Y Y  e  L Y  ij 2 8

In principle: 9 new observables (Davidson, Ibarra 2001) 15/06/06


6/14

SUSY Seesaw

Renormalization group evolution

MGUT

Neutrino sector

Slepton sector

Yν and Mi at MGUT

mSUGRA condition: m0,A0 mL2, me2, Ae

M3 M2 M1 Yν, M, mν

MEW

15/06/06

Light neutrino data, Choose R and Mi

Slepton masses and mixings at MEW


7/14

Slepton Flavor Violation ●

Rare decays –

Br(µ→eγ) < 1.2⋅10-11(10-13, PSI)

–

Br(τ→µγ) < 3.1⋅10-7(10-8, LHC)

–

Br(τ→eγ) < 3.7⋅10-7

5 m 2  tan  l 2 Br l i  l j ≈  m L ij  8 l m  3

2

i

∣

∣

i

●

Slepton-pair production at e±e- colliders

 −

 e e  l l 15/06/06

2

m  ∣  ∣ 2  ≈  e

−  i j

0 1

2 L ij

m2l  2l


 −

e  l−i li 2  01  8/14

Leptogenesis ● ●

n B−n B −10 Observed baryon asymmetry  B= =6.3±0.3⋅10 n Leptogenesis –

Right-handed neutrinos decay, violating CP and lepton number ⇒ lepton asymmetry ηL

–

Transformation of ηL into baryon asymmetry ηB by SM sphaleron processes

 B= f Y  , M 1  , for hierarchical M 

R

9

⇒ M 15⋅10 GeV –

Use as additional constraint on neutrino parameters

15/06/06


9/14

Degenerate νR

Neutrino parameter variation ●

Degenerate Mi ≈MR + CP conservation ⇒ MR only free parameter

●

Fixed mSUGRA parameters: SPS1a

⇒ Constraint on MR, correlation of low and high energy processes:

present bound

PSI sensitivity

15/06/06


present bound

●

Variation of light neutrino parameters, hierarchical (m1 ≈ 0 eV) and quasi-degenerate (m1 ≈ 0.3 eV) neutrinos

PSI sensitivity

●

10/14

Degenerate νR

mSUGRA parameter variation ●

Best fit neutrino parameters, hierarchical νL (m1 ≈ 0 eV), MR = 1014 GeV

●

Variation of m0 and m1/2 (A0 = 0, tanβ = 5, signµ = +)

●

Compare sensitivity of low-energy and collider experiments:

15/06/06


11/14

Hierarchical νR Leptogenesis

●

M1