1. WHAT IS Msusy?
I am grateful to the Organisers for this title! I understand it reflects certain frustration….

2. Mh=125 GeV What has changed on the data side? Stop > 0. 5 TeV
1&2nd > 1.5 TeV
GLUINO > ( ) TeV
Mh=125 GeV

3. What could have been really realisticly expected?
WHAT CAN WE EXPECT NOW, AFTER LHC 8?
LESSONS FOR UV MODEL BUILDING

4. Parameter

5. AMALDI, de BOER, FURSTENAU ‘91
GAUGE COUPLING UNIFICATION
AMALDI, de BOER, FURSTENAU ‘91

6. Superpartner mass mass dependence can be
described (in LL approx) by a single effective
parameter Tsusy
CARENA, SP, WAGNER ‘93
A HINT FOR EITHER HEAVY OR COMPRESSED SPECTRUM BECAUSE…

8. A HINT FOR EITHER HEAVY O(1) TeV OR COMPRESSED SPECTRUM
For instance, for universal gaugino masses at the GUT scale
A HINT FOR EITHER HEAVY O(1) TeV OR COMPRESSED SPECTRUM

9. AFTER LEP, IT HAS BEEN ALWAYS O(1) TEV SCALE FOR
THE 3rd GENERATION

10. Mh=125 GeV PRE-LHC LANDSCAPE
PRECISION FITS IN THE SM (ESSENTIALLY APPLICABLE to MSSM)
LEP LIMIT
INDUSTRY TO GET MORE THAN 130 (NMSSM, SPLIT SUSY, NEW
PARTICLES…)

12. = 3 LESSONS FROM BEST FOR THE HIGGS MASS: „ MAXIMAL MIXING”
WE ARE BOTHERED BY ABOUT O(5 GeV) „TOO HIGH” MASS
IN MSSM WITH Msusy=1 TeV, LARGE LEFT-RIGHT STOP „MIXING” NEEDED (BETTER POSITIVE THAN NEGATIVE)
NMSSM?

13. NMSSM AS A SOURCE OF O(5 GeV) CORRECTION?
MIXING EFFECTS (BADZIAK, OLECHOWSKI,SP)
MEDIUM AND LARGE

15. THIS IS WHY ONE NEEDS HEAVY STOPS IN CMSSM
BACK TO MSSM
BEST FOR THE HIGGS MASS: „ MAXIMAL MIXING”
GENERIC PREDICTION IN CMSSM:
THIS IS WHY ONE NEEDS HEAVY STOPS IN CMSSM

17. EXPLANATION:
RG RUNNING FROM GUT

18. IN HIGH SCALE SUPERSYMMETRY BREAKING MODELS
THREE WAYS TO GET „MAXIMAL MIXING” IN THE MSSM
LARGE in GENERALIZED LOW SCALE GAUGE MEDIATION
( ROBERT ZIEGLER CAN SAY MORE)
IN HIGH SCALE SUPERSYMMETRY BREAKING MODELS 2)
(CMSSM, NUHM, SO(10))
STUART RABY,
HOWIE BAER TALK

19. THE HIGH SCALE ( CAN BE SMALL OR EVEN ZERO),
3) WITH INVERTED HIERARCHY FOR SFERMION MASSES AT
THE HIGH SCALE ( CAN BE SMALL OR EVEN ZERO),
(BADZIAK ET AL., NILLES ET AL.)
AS A CONSEQUENCE OF 2 LOOP EFFECTS
IN BOTH CASES ONE OBTAINS INVERTED HIERARCHY
AT THE ELECTROWEAK SCALE!
MAXIMAL MIXING
INVERTED HIERARCHY ?

22. HINTS FOR INVERTED SFERMION MASS HIERARCHY
ALSO FROM FLAVOUR PHYSICS

23. WITH FLAVOUR U(2) GLOBAL SYMMETRY
EARLY PAPERS :
WITH FLAVOUR U(2) GLOBAL SYMMETRY
3rd generation of sfermions can be light, 1st and 2nd can be heavier, to reconcile naturalness with FCNC constraints
Dine, Leigh, Kagan ’93
Pomarol, Tommasini ’95
Barbieri, Davali, Hall ’96
Barbieri, Hall, Romanino ’97

24. WITH ANOMALOUS U(1) (GAUGED) FLAVOUR SYMMETRY
Fermion mass model-motivated „inverted hierarchy” of sfermion spectrum (follows from fermion hierarchy)
Dudas, SP, Savoy ’95
Dudas, Grojean, SP, Savoy ’96
Nelson, Wright ’97
F-TERM AND D-TERM CONTRIBUTION TO SFERMION MASSES;
TWO SCALES IF D-TERM SUPERSYMMETRY BREAKING

25. O(1) TeV stops and inverted hierarchy in the sfermion spectrum?
LET’S BE AMBITIOUS AND TRY TO EXPLAIN THE FERMION MASS SPECTRUM
New sources of FCNC and CP violation
are controlled by the proposed theory of fermion
masses; FCNC problem is usually substantially
ameliorated.
O(1) TeV stops and inverted hierarchy in the
sfermion spectrum? 4

26. „GOOD” FERMION MASS MODELS HINT TO INVERTED SFERMION MASS HIERARCHY, IF STOPS ARE TO REMAIN LIGHT
SU(2)xU(1)
DUDAS, von GERSDORFF, SP, ZIEGLER
D-TERM MASS SPLITTING BETWEEN SFERMION FAMILIES
AT HIGH SCALE

27. UV PICTURE
STRUCTUREFUL SOFT TERMS AT UV ?
SEVERAL SCALES?

28. MODELS FOR STRUCTUREFUL SOFT TERMS AT UV
SEVERAL SOURCES OF SUPERSYMMETRY BREAKING
SINGLET AND NON-SINGLET F-TERMS (CHARGED UNDER SM AND/OR FLAVOUR GAUGE GROUPS)
GRAVITY + ANOMALY MEDIATION (COMPRESSED GAUGINO SPECTRUM-GAUGE COUPLING UNIFICATION,
NILLES ET AL
GEOMETRICAL SEQUESTERING- INVERTED HIERARCHY
D-TERM BREAKING

29. SUMMARY AFTER LHC 8
Msusy (DEFINED AS THE AVERAGE STOP MASS) CAN WELL STILL BE AROUND 1 TeV.
INVERTED HIERARCHY IN SFERMION MASSES AT THE ELECTROWEAK SCALE SUGGESTED BY THE HIGGS MASS AND FLAVOUR
HINTS FOR SOME STRUCTURES IN SOFT TERMS
UV COMPLETIONS CAN EASILY ACCOMODATE SUCH STRUCTURES

30. END

31. Precision of the FCNC and CP violation data
leaves little room for new effects from physics BSM.
With anarchical flavour structure, for
one gets

33. E.g. K-K mixing
suppression scale
loop factor
U - CKM matrix 3

34. MAIN MESSAGE FROM THE LHC ON THE SUSY
SPECTRUM: LIMITS ON THE GLUINO MASS?
IT FEEDS UP INTO SEVERAL OTHER „PLACES”
FCNC (EASED)
RG RUNNING IN UV COMPLETIONS

36. U(1)