1. Antonio Masiero Univ. of Padova and INFN, Padova
NOW 2006
Conca Specchiulla, Italy
September , 2006
LFV
Antonio Masiero
Univ. of Padova and
INFN, Padova

2. ON A NEW HIGH ENERGY SCALE IN PHYSICS
GRAVITY PLANCK SCALE
GUT GUT SCALE
NEUTRINO MASS SEESAW SCALE
BARYOGENESIS CPV HEAVY PARTICLE DECAY
INFLATION INFLATON SCALE
STRONG CP PQ SCALE
SUPERGRAVITY SUSY BREAKING SCALE
SCALE OF APPEARANCE OF THE SOFT BREAKING TERMS
SIGNATURES OF A HIGH SCALE IN OUR TEV
SCALE TO BE PROBED AT LHC.

3. THE FATE OF LEPTON NUMBER
L VIOLATED
L CONSERVED
 Dirac ferm.
(dull option)
 Majorana ferm.
SMALLNESS of m
h LH R m=h H M1 eV h10-11
EXTRA-DIM. R in the bulk: small overlap?
PRESENCE OF A NEW PHYSICAL MASS SCALE
NEW HIGH SCALE
NEW LOW SCALE
SEE - SAW MECHAN.
MAJORON MODELS
Minkowski; Gell-Mann, Ramond, Slansky, Yanagida
Gelmini, Roncadelli
ENLARGEMENT OF THE HIGGS SCALAR SECTOR  R
ENLARGEMENT OF THE FERMIONIC SPECTRUM
h L L 
MR R + h L  R
m= h    L R
L ~O h  LR
Models?
N.B.: EXCLUDED BY LEP!
R h  M

4. THE FATE OF FLAVOR NUMBERS
HADRONIC FLAVOR NUMBERS: strangeness, charm, beauty.. ALL VIOLATED IN FLAVOR CHANGING CHARGED CURRENTS mismatch in the simultaneous diagonalization of the up- and down- quark sectors allows for W intergenerational hadronic couplings
LEPTONIC FLAVOR NUMBERS: Li i= e, ,  violated
in   oscillations massive neutrinos
mismatch in the simultaneous diagonalization of the up- (  ) and down- ( l ) sectors allows for W intergenerational leptonic couplings

5. LFV IN CHARGED LEPTONS FCNC
Li - Lj transitions through W - neutrinos mediation
GIM suppression ( m / MW ) forever invisible
New mechanism: replace SM GIM suppression with a new GIM suppression where m is replaced by some ∆M >> m.
Ex.: in SUSY Li - Lj transitions can be mediated by photino - SLEPTONS exchanges,
BUT in CMSSM (MSSM with flavor universality in the SUSY breaking sector) ∆M sleptons is O( mleptons), hence GIM suppression is still too strong.
How to further decrease the SUSY GIM suppression power in LFV through slepton exchange?

6. SUSY SEESAW: Flavor universal SUSY breaking and yet large lepton flavor violation! Borzumati, A. M. 1986 ~
Non-diagonality of the slepton mass matrix in the basis of diagonal lepton mass matrix depends on the unitary matrix U which diagonalizes (f+ f)

7. How Large LFV in SUSY SEESAW?
1) Size of the Dirac neutrino couplings f
2) Size of the diagonalizing matrix U
in MSSM seesaw or in SUSY SU(5) (Moroi):
not possible to correlate the neutrino Yukawa
couplings to known Yukawas;
in SUSY SO(10) at least one neutrino
Dirac Yukawa coupling has to be of the order
of the top Yukawa coupling one large of O(1) f
2) U two “extreme” cases:
a) U with “small” entries U = CKM;
b) U with “large” entries with the exception of the 13 entry
U=PMNS matrix responsible for the diagonalization of the neutrino mass matrix

8. LFV in SUSYGUTs with SEESAW
MPl MGUT MR MW
Scale of appearance of the SUSY soft breaking terms
resulting from the spontaneous breaking of supergravity
Low-energy SUSY has “memory” of all the multi-step RG
occurring from such superlarge scale down to MW
potentially large LFV
Barbieri, Hall; Barbieri, Hall, Strumia; Hisano, Nomura,
Yanagida; Hisano, Moroi, Tobe Yamaguchi; Moroi;A.M.,, Vempati, Vives;
Carvalho, Ellis, Gomez, Lola; Calibbi, Faccia, A.M, Vempati
LFV in MSSMseesaw:  e Borzumati, A.M.
  Blazek, King;
General analysis: Casas Ibarra; Lavignac, Masina,Savoy; Hisano, Moroi, Tobe, Yamaguchi; Ellis, Hisano, Raidal, Shimizu; Fukuyama, Kikuchi, Okada; Petcov, Rodejohann, Shindou, Takanishi; Arganda, Herrero; Deppish, Pas, Redelbach, Rueckl; Petcov, Shindou

9. Bright prospects for the experimental sensitivity to LFV
Running: BaBar, Belle
Upcoming: MEG (2006)
Future: SuperKEKB (2011)
PRISM/PRIME (next decade)
Super Flavour factory (?)
Experiments:

10. LFV with MULTIPLE RUNNING THRESHOLDS
CALIBBI, FACCIA, A.M., VEMPATI ;
For previous related works, see, in particular, HISANO et al.

11. µ e+ in SUSYGUT: past and future

12. MEG POTENTIALITIES TO EXPLORE THE SUSY SEESAW PARAM. SPACE

13. LFV SENSITIVITY ON THE Ue3 UNKNOWN

14. Antusch, Arganda, Herrero, Teixera

15. Antusch et al.

16. and PRISM/PRIME conversion experiment
LFV from SUSY GUTs
Lorenzo Calibbi

17. and the Super B (and Flavour) factories
LFV from SUSY GUTs
Lorenzo Calibbi

18. LFV LHC SENSITIVITIES IN PROBING THE SUSY PARAM. SPACE

19. Sensitivity of  e to Ue3 for various Snowmass points in mSUGRA with seesaw A.M., Vempati, Vives

20. Antusch, Arganda, Herrero, Teixera

21. Antusch et al.

23. Antusch, Arganda, Herrero, Teixera

24. Antusch et al.

25. FCNC HADRON-LEPTON CONNECTION IN SUSYGUTIf
MPl MGUT MW
soft SUSY breaking terms arise
at a scale > MGUT, they have to respect
the underlying quark-lepton GU symmetry
constraints on quark from LFV and
constraints on lepton from hadronic FCNC
Ciuchini, A.M., Silvestrini, Vempati, Vives PRL
general analysis Ciuchini, A.M., Paradisi, Silvestrini, Vempati, Vives (to appear next week)

26. GUT -RELATED SUSY SOFT BREAKING TERMS
SU(5) RELATIONS

27. SCKM basis fi fi o f i fi ~ ~ ~ ~  x f j  ~
SUPER CKM: basis in the LOW - ENERGY phenomenology where through a rotation of the whole superfield (fermion + sfermion) one obtains DIAGONAL Yuhawa COUPL. for the corresponding fermion field
f Uf = f 0
f Uf = f fi fi o
f i fi ~ ~ ~ ~  x
f j  ~
ijf ijf  ijf / mf ave ~ ~ ~ ~
Unless mf and mf are aligned, f is not a mass eigenstate
Hall, Kostelecki, Raby ~

28. BOUNDS ON THE HADRONIC FCNC: 1 - 2 DOWN GENERATION

29. BOUNDS ON THE HADRONIC FCNC: 1 - 3 DOWN GENERATIO

30. Bounds on 1 - 2 lepton generation LFV
tan = 10
Bounds scale as ~ (tan)-1
For slepton masses of O(400 GeV)!

31. Bounds on 1-3 and 2-3 lepton generation LFV
Possible cancellation preclude bounds on the RR mass insertions

32. Bounds on the hadronic (12)RR as modified by the inclusion of the LFV correlated bound

33. Bounds on the hadronic (23)RR as modified by the inclusion of the LFV correlated bound

34. Bounds on the hadronic (23)RL as modified by the inclusion of the LFV correlated bound

35. Bounds on the hadronic (12)LL as modified by the inclusion of the LFV correlated bound

36. Bounds on the hadronic (23)LL as modified by the inclusion of the LFV correlated bound

37. DEVIATION from  - e UNIVERSALITY A.M., Paradisi, Petronzio

38. HIGGS-MEDIATED LFV COUPLINGS
When non-holomorphic terms are generated by loop effects ( HRS corrections)
And a source of LFV among the sleptons is present
Higgs-mediated (radiatively induced) H-lepton-lepton LFV couplings arise
Babu, Kolda; Sher; Kitano,Koike,Komine, Okada; Dedes, Ellis, Raidal; Brignole,Rossi; Arganda,Curiel,Herrero,Temes; Paradisi;
Brignole,Rossi

39. H mediated LFV SUSY contributions to RK
Extension to B l deviation from universality Isidori, A.M., Paradisi (in progress)

40. OUTLOOK
We possess a robust Standard Model for Flavor Physics: from determining the CKM entries we entered the new era of (successful) precision tests of its consistency
New physics at the elw. scale is likely to
be either Flavor Blind or to account for
deviations not larger than % from the SM predictions for the measured quantities.
Still possible to have sizeable deviations in flavor observables to be measured ( for instance CP violating Bs decays)
Flavor universality in the mechanism for the SUSY breaking generally does NOT imply flavor blindness of Low-Energy SUSY
( ex. SUSY seesaw) great potentialities for exps. looking for LFV
RELEVANT, TESTABLE CORRELATIONS IN HADRONIC LEPTONIC FCNC FROM SUSYGUTs
Flavor Physics plays a crucial role for “reconstructing” the
New Physics discovered at LHC !

41. LHC NEW PHYSICS AT THE ELW SCALE DARK MATTER "LOW ENERGY"
PRECISION PHYSICS
m n …
LINKED TO COSMOLOGICAL EVOLUTION
FCNC, CP ≠, (g-2), ()0
Possible interplay with dynamical DE

42. BACKUP SLIDES

43. BOUNDS ON THE HADRONIC FCNC: 1 - 2 DOWN GENERATION

44. BOUNDS ON THE HADRONIC FCNC: 1 - 3 DOWN GENERATION

45. Bounds on 1 - 2 lepton generation LFV
tan = 10
Bounds scale as ~ (tan)-1
For slepton masses of O(400 GeV)!

46. Bounds on 1-3 and 2-3 lepton generation LFV
Possible cancellation preclude bounds on the RR mass insertions

47. Bounds on the hadronic (12)LL as modified by the inclusion of the LFV correlated bound

48. Bounds on the hadronic (12)RR as modified by the inclusion of the LFV correlated bound

49. Bounds on the hadronic (13)RR as modified by the inclusion of the LFV correlated bound

50. Bounds on the hadronic (23)RR as modified by the inclusion of the LFV correlated bound

51. Bounds on the hadronic (13)RL as modified by the inclusion of the LFV correlated bound

52. Bounds on the hadronic (23)RL as modified by the inclusion of the LFV correlated bound

53. Bounds on the hadronic (13)LL as modified by the inclusion of the LFV correlated bound

54. Bounds on the hadronic (23)LL as modified by the inclusion of the LFV correlated bound

55. OUTLOOK
We possess a robust Standard Model for Flavor Physics: from determining the CKM entries we entered the new era of (successful) precision tests of its consistency
New physics at the elw. scale is likely to
be either Flavor Blind or to account for
deviations not larger than % from the SM predictions for the measured quantities.
Still possible to have sizeable deviations in flavor observables to be measured ( for instance CP violating Bs decays)
Flavor universality in the mechanism for the SUSY breaking generally does NOT imply flavor blindness of Low-Energy SUSY
( ex. SUSY seesaw) great potentialities for exps. looking for LFV
RELEVANT, TESTABLE CORRELATIONS IN HADRONIC LEPTONIC FCNC FROM SUSYGUTs
Flavor Physics plays a crucial role for “reconstructing” the
New Physics discovered at LHC !

56. LHC NEW PHYSICS AT THE ELW SCALE DARK MATTER "LOW ENERGY"
PRECISION PHYSICS
m n …
LINKED TO COSMOLOGICAL EVOLUTION
FCNC, CP ≠, (g-2), ()0
Possible interplay with dynamical DE