1. cLFV in SUSY Seesaw Models (after LHC12, θ and MEG13)
Filipe R. Joaquim
(Dep. de Física – IST & CFTP , Lisboa)

2. Cheng, and Li 1977; Petcov, 1977; Marciano and Sanda ,1977;
NOs vs. CLFV
LFV in the neutrino sector
Charged LFV (cLFV)
Neutrino Oscillations
Forero, Tortola & Valle, hep-ph/
Bernstein & Cooper’ 13
SM + Neutrinos masses:
Cheng, and Li 1977; Petcov, 1977; Marciano and Sanda ,1977;
Shrock and Lee, 1977.
Obs. of LFV decays NEW PHYSICS
Filipe Joaquim – ICHEP cLFV in SUSY seesaw models

3. THE SM AS AN EFFECTIVE THEORY:
EFFECTIVE ν MASSES AND SEESAWS
THE SM AS AN EFFECTIVE THEORY:
CANONICAL SEESAW REALIZATIONS cc
TYPE I, III - fermion singlets or triplets
TYPE II - scalar triplets
Filipe Joaquim – ICHEP cLFV in SUSY seesaw models

4. For type I, II and III: cLFV AND SUSY SEESAWS WHAT IS THE ORIGIN OF ?
STANDARD APPROACH: Consider flavour-blind SSB a high-scale Л>M and rely on RGE effects to generate sLFV cv cv cv
For type I, II and III:
Masiero, Borzumati, Rossi, ...
Filipe Joaquim – ICHEP cLFV in SUSY seesaw models

5. PRESENT LIMITS AND FUTURE EXPECTATIONS
Filipe Joaquim – ICHEP cLFV in SUSY seesaw models

6. HIGGS MASS
Filipe Joaquim – ICHEP cLFV in SUSY seesaw models

7. SUSY: Present limits
Filipe Joaquim – ICHEP cLFV in SUSY seesaw models

8. HOW CAN ALL THIS INFORMATION BE COMBINED TO CONSTRAIN
SUSY: Present limits
HOW CAN ALL THIS INFORMATION BE COMBINED TO CONSTRAIN
SUSY SEESAWS?
Filipe Joaquim – ICHEP cLFV in SUSY seesaw models

9. IT DEPENDS... Assume a SUSY-breaking mechanism (mSUGRA?)
cLFV AND SUSY SEESAWS
Assume a SUSY-breaking mechanism (mSUGRA?)
2. Choose a particular point in the SUSY space (spectrum)
3. Use the available neutrino data
4. Choose your (seesaw) neutrino mass mediators
MODEL-INDEPENDENT PREDICTIONS FOR cLFV?
IT DEPENDS...
On whether you are able to disentangle the high-energy couplings from neutrino data
Filipe Joaquim – ICHEP cLFV in SUSY seesaw models

10. Shortcoming of type I and III seesaws:
cLFV AND SUSY SEESAWS (Type I and III)
Shortcoming of type I and III seesaws:
HARD to disentangle the flavour structure of the couplings
in the neutrino sector
IN A MODEL-INDEPENDENT WAY *
Just count the parameters... Or (Casas & Ibarra’01)
ALL R’s LEAD TO THE SAME
FOR SUSY LFV THE RELEVANT COMBINATION IS:
WHICH IS NOT UNIQUELY DEFINED
* Not to say impossible...
Filipe Joaquim – ICHEP cLFV in SUSY seesaw models

11. cLFV AND SUSY SEESAWS (Type I and III)
FRJ ICHEP’14
FRJ ICHEP’14
EXCLUDED BY MEG13
EXCLUDED BY MEG13
NEUTRINO PARAMETERS TAKEN FROM GLOBAL FITS
Assumptions: no CP phases, M /M = M /M = 10, NH (m ~ 0) 3 2 2 1 1
Filipe Joaquim – ICHEP cLFV in SUSY seesaw models

12. TYPE I AND THE SUSY PARAMETER SPACE
cLFV AND SUSY SEESAWS (Type I and III)
TYPE I AND THE SUSY PARAMETER SPACE
ASSUMPTIONS: R=1, degenerate RH neutrinos, NH (m ~ 0) , no CP 1
Adapted from Hirsch, FRJ & Vicente, JHEP 1211 (2012) 105
Filipe Joaquim – ICHEP cLFV in SUSY seesaw models

13. TYPE III AND THE SUSY PARAMETER SPACE
cLFV AND SUSY SEESAWS (Type I and III)
TYPE III AND THE SUSY PARAMETER SPACE
ASSUMPTIONS: R=1, degenerate RH neutrinos, NH (m ~ 0) , no CP 1
Adapted from Hirsch, FRJ & Vicente, JHEP 1211 (2012) 105
Filipe Joaquim – ICHEP cLFV in SUSY seesaw models

14. Relations among different LFV decays
cLFV AND SUSY SEESAWS (Type II)
Roughly:
Soft masses will scale in a (almost) trivial way with Yukawas
Type I and III – 10 (M’s): 100 (BR’s) , Type II: – 10 (M): 10 (BRs) 4
Relations among different LFV decays
One gets rid of the non-flavoured parameter dependence.
Filipe Joaquim – ICHEP cLFV in SUSY seesaw models

15. cLFV AND SUSY SEESAWS (Type II)
Superpotential (Rossi’02):
LFV slepton masses (taking universal boundary conditions):
Gauge
SUSY
Messenger sector
SUSY
Observable sector
Yukawa
FRJ, Rossi; PRL’06, NPB’07; Brignole, FRJ, Rossi; JHEP’10
Dependence on low-energy parameters:
Filipe Joaquim – ICHEP cLFV in SUSY seesaw models

16. cLFV AND SUSY SEESAWS (Type II)
Normal ordering:
Inverted ordering:
Dependence on low-energy parameters:
Filipe Joaquim – ICHEP cLFV in SUSY seesaw models

17. Situation before θ measurement:
cLFV AND SUSY SEESAWS (Type II) – BEFORE θ 13
Situation before θ measurement: 13
FRJ, JHEP 1006 (2010) 079
Filipe Joaquim – ICHEP cLFV in SUSY seesaw models

18. Situation before θ measurement:
cLFV AND SUSY SEESAWS (Type II) – BEFORE θ 13
Situation before θ measurement: 13
FRJ, JHEP 1006 (2010) 079
Filipe Joaquim – ICHEP cLFV in SUSY seesaw models

19. cLFV AND SUSY SEESAWS (Type II) – PRESENT
Type II seesaw
Which CONCRETE conclusions can we take from this plot ?
Remember the assumptions:
Flavour-blind SUSY-breaking mechanism;
Only one triplet-pair;
No relevant RGE effects which
could spoil
Nearly degenerate slepton masses
Observation of a τ LFV Super B factory would exclude type II.
Filipe Joaquim – ICHEP cLFV in SUSY seesaw models

20. SOME RECENT EXAMPLES cLFV AND SUSY SEESAWS (Type II) – PRESENT
Adapted from Hirsch, FRJ & Vicente, JHEP 1211 (2012) 105
Filipe Joaquim – ICHEP cLFV in SUSY seesaw models

21. RELATIONS among different-flavour decay channels of the same type.
CONCLUSIONS
COMPLEMENTARITY analyses between neutrino data and cLFV searches are of extreme importance to get some hints on possible connections.
HIGH-ENERGY neutrino mass models need low-energy LFV mediators (e.g. SUSY)
SUSY SEE-SAWS (I and III) based connections between neutrinos and cLFV require model-dependent assumptions. Still, in some cases LFV bounds are incompatible with LHC data.
SUSY Type II is less dependent on the flavour origin. Still, is a HE framework.
RELATIONS among different-flavour decay channels of the same type.
Gracias!
Filipe Joaquim – ICHEP cLFV in SUSY seesaw models

22. BACKGROUND SLIDES
Filipe Joaquim – ICHEP cLFV in SUSY seesaw models

23. STABILITY IN THE SUSY PARAMETER SPACE
FRJ, JHEP 1006 (2010) 079
Filipe Joaquim – ICHEP cLFV in SUSY seesaw models

24. FOR A LARGE CLASS OF SUSY MODELS THIS RELATIONS ARE VALID
OTHER LFV PROCESSES
WITH DIPOLE DOMINANCE:
FOR A LARGE CLASS OF SUSY MODELS THIS RELATIONS ARE VALID
Filipe Joaquim – ICHEP cLFV in SUSY seesaw models

25. OTHER LFV PROCESSES FRJ & Rossi’06
Filipe Joaquim – ICHEP cLFV in SUSY seesaw models

26. OTHER LFV PROCESSES FRJ & Rossi’06
Filipe Joaquim – ICHEP cLFV in SUSY seesaw models

27. SYMMETRY vs. RANDOM
Several approaches: FLAVOUR SYMMETRIES, GUTS, TEXTURES, R-MATRIX…
“Randomizing” R may hide away many possible scenarios
(maybe even the most interesting)
A very simple example: OR
IT IS DANGEROUS TO DRAW CONCLUSIONS BASED ON “RANDOMIZATION”
Filipe Joaquim – ICHEP cLFV in SUSY seesaw models