Moritz McGarrie with S.Abel (IPPP, Durham)!

Transcription

1 Planck 24 Natural Supersymmetry Breaking with Meta-stable Vacua Moritz McGarrie with S.Abel (IPPP, Durham) ArXiv: 44:38 (JHEP)

2 Natural SUSY checklist The 26 GeV Higgs- NMSSM or non decoupled D-terms e.g. (Aoife Bharucha, Andreas Goudelis & MM) 3.45 m 2 h = m 2 z cos(2 )+ 2 v 2 ew sin(2 ) Light stops (lighter than st & 2nd generation squarks) m 2 H u 3y2 t m 2 t 4 2 Log m t Dynamical explanation? Soft masses cannot be the same m 2 (Q,U,D) 3 << m 2 (Q,U,D),2 Connection to Flavour? Y u ' y t A, Y d ' y b A, Y e ' y A No (excluded) FCNC s please Realistic models of SUSY breaking? - ISS magnetic SQCD

3 A common problem Other approaches such as making At large, still need to explain why stops are lighter than st two generations? e.g. Large At Without the Desert -ArXiv: 45:38 Why? m 2 (Q,U,D) 3 << m 2 (Q,U,D),2 Typically for all msugra, GMSB, AMSB etc soft masses look like this: m 2 Q,U,D 2 A But exclusions look like this: m 2 Q,U,D 2 A} ~>.5 TeV exclusions > 4 GeV exclusions First two generations degenerate to reduce FCNC s an SU(2)_F?

4 Flavour Gauge Messengers (F.Bruemmer, A.Weiler & MM) (S.Abel & MM) SU(3) SU(2) U() Gauge Mediation Λ GM,M GM SUSY Λ F,M Gauge Messenger Mediation MSSM or NMSSM SU(3) F Extend gauge mediation to include a gauged flavour group Explain Yukawas and SUSY breaking Fields break SU(3)_F and SUSY at the same time Fully dynamical origin in terms of Meta-stable SUSY breaking

5 How to Gauge flavour? Field G SM SU(3) L SU(3) R SU(3) F ˆQ f (2, 6, 3) (3, ) ˆL f (2, 2, ) (3, ) Ĥ d (2, 2, ) (,) Ĥ u (2, 2, ) (,) ˆD f (, 3, 3) (,3) Û f 2 (, 3, 3) (,3) Ê f (,, ) (, 3) ˆ f (,, ) (, 3) Gauge this flavour group Include right handed neutrinos SU(3) F is anomaly free and G SM SU(3) F mixed anomalies vanish We can gauge it. but we still need to Higgs SU(3)_F (S.Abel & MM) 44.38

6 Gauge messengers= Recipe: Gauge a group Higgs a group Fields that Higgs that group also break SUSY Flavour? Non Abelian Froggat-Nielson mechanism SUSY breaking fields are Flavons?

7 From GMSB From flavour gauge mess. m 2 Q,U,D,GMSB + X i g 4 SM,i (6 2 ) 2 2 F M A m 2 Q,U,D = g 2 F 6 2 F M A Nett m 2 Q,U,D 2 # A a tachyonic soft term for stops

8 m 2 Q,U,D,GMSB + X i From GMSB g 4 SM,i (6 2 ) 2 2 F M A From flavour gauge mess. m 2 Q,U,D = g 2 F F M Stick the model into an NMSSM spectrum generator (SPheno) A mass GeV 5 m t m G t 2 m c mh GeV m c m u m u g F g F Squarks and Gluino Higgs

9 It turns out that this model can embed into magnetic SQCD too Field SU(Ñ) mag SU(3) L SU(3) R SU(3) F (3, 3) ' (3, ) ' (,3) W mag = htr' ' µ 2 Tr. The usual rank condition breaks SU(3) F SU(2) F µ ij = µ µ µ A and ' T = ' = µ µ A F = hµ 2 A such that V min = h 2 µ 4. Dynamical metastable flavour gauge mediation m 2 Q,U,D = g 2 F 6 2 h2 µ A +...

10 Perhaps we can explain Yukawas too Couple these fields together Field G SM SU(3) L SU(3) R SU(3) F ˆQ f (2, 6, 3) (3, ) ˆL f (2, 2, ) (3, ) Ĥ d (2, 2, ) (,) Ĥ u (2, 2, ) (,) ˆD f (, 3, 3) (,3) Û f 2 (, 3, 3) (,3) Ê f (,, ) (, 3) ˆ f (,, ) (, 3) Field SU(Ñ) mag SU(3) L SU(3) R SU(3) F (3, 3) ' (3, ) ' (,3) leads to W = u H uq U + d H dq D = hxi A leads to Y u = Y t A (S.Abel & MM) 44.38

11 Model 2 Field G SM SU(3) L SU(3) R SU(3) F ˆQ f (2, 6, 3) (3, ) ˆL f (2, 2, ) (3, ) Ĥ d (2, 2, ) (,) Ĥ u (2, 2, ) (,) ˆD f (, 3, 3) (,3) Û f 2 (, 3, 3) (,3) Ê f (,, ) (, 3) ˆ f (,, ) (, 3) Field SU(Ñ) mag SU(3) L SU(3) R SU(3) F (3, 3) ' Rank 2 (3, ) ' (,3) Field SU(Ñ) mag SU(3) L SU(3) R SU(3) F M (3, 3) Rank (3, ) (,3) ' T = ' = µ µ A and T = = A O() ' leads to Y u A Non-Abelian Froggat-Nielson Many more model building avenues to explore further Extensions include: Brane realisations, Holographic realisations, Kutasov duality (S.Abel & MM) 44.38

12 Flavour changing neutral currents Model : degenerate st & 2nd (S.Abel & MM) u,2 <. mass GeV 2 5 m t m G t 2 m c 5GeV 5 ij = m2 q 2 m 2 q 2 (m2 q 2 + m 2 q ) K ijk ii 5 m c 2 4 * K 2 K m u m u Model 2: split st & 2nd g F maxhdm u é 2 L GeVD 3 2 ê5 ê3 ê2 2 mass GeV 5 5 m t m t G 2 m c m c 2 m u m u 2 If extended to leptons, we expect Stau NLSP (Gravitino LSP) g F m u é GeVD 5TeV Sizeable splittings allowed for multi-tev st and 2nd Gen.

13 Tachyons are natural? For a natural cancellation these should be of the same order m 2 z = 2(m 2 H u + µ 2 )+... Massless stops at Mplanck, turn tachyonic at messenger scale, are turned positive by gluino stops run positive m 2 t = 8 sm Log M 3 m 2 H u 3y2 t m 2 t 4 2 Log m t (+) + ( ) Reduces fine tuning on the Higgs.

14 or is it? Moritz McGarrie

15 Additional slides

16 Large At Without the Desert A.Abdalgabar, A.Cornell, A.Deandrea, MM 45:38 UV In many models At= in UV At runs negative IR typically ends up negative a few GeV Not sufficient to the get correct Higgs mass. Question: Can we accelerate its running?

17 .The Higgs mass 26 GeV The MSSM at one-loop top mass average stop mass m 2 h ' m 2 z cos 2 (2 )+ 3 (4 ) 2 m 4 t v 2 ew " log m2 t m 2 t + X2 t m 2 t ( X 2 t 2m 2 t ) # 26 2 = X t = A t µ cot Radiative corrections are same order as tree level piece corrections run logarithmically in SUSY MSSM case implies either heavy stops or large X_t=A_t + Needs -2 TeV At or stops to get Higgs mass correct stop mixing

18 In 5D you can get large At Power law running MSSM SUSY (Q, U, D, L, E) R Bulk SU(3) c SU(2) L U() Y H u,h d An extra dimension of radius R. Additional Kaluza Klein modes enter RGEs Q> /R Large At: Independent of the details of SUSY breaking Split families: Locate different generations in brane or bulk aesthetically Natural m 2 (Q,U,D) 3 << m 2 (Q,U,D),2

19 Power law running (Q) = (m z ) (T.Taylor, G.Veneziano) Phys. Lett. B22 (988) (K.Dienes, E.Dudas T. Gherghetta) (K.Dienes, E.Dudas, T. Gherghetta) The finite power-law corrections to the Yukawa couplings have the right sign and magnitude to cancel the tree-level terms. This can help to explain the hierarchical structure of the fermion Yukawa couplings. (A.Abdalagbar, A.Cornell, A.Deandrea, MM) 45:38 b 2 log Q m z + b 2 log Q m KK b 2 ( Qd m KK )c d Perhaps we can use this to accelerate the evolution of At? 4+d dimensional MSSM Always unify No proton decay Explains flavour Large At

20 Compactification scale TeV Compactification scale ^3 TeV Compactification scale ^5 TeV Unification ^6 GeV Compactification scale ^2 TeV

21 Compactification scale TeV Compactification scale ^3 TeV Large splitting here small splitting here Flavour hierarchy just an RGE effect?

22 Compactification scale TeV Compactification scale ^3 TeV Compactification scale ^5 TeV Compactification scale ^2 TeV At large enough for sub-tev stops

23 Compactification scale TeV Compactification scale TeV Compactification scale TeV At large enough for sub-tev stops Larger gluino gives larger At

24 Moritz McGarrie Thanks for listening Conclusions Traditional models are in bad shape Perhaps it is time to panic? Natural SUSY is motivated from bottom up These can have exciting top-down motivations too It does mean sacrificing minimality