SUSY Model Building for a 126 GeV Higgs. Moritz McGarrie

Transcription

1 SUSY Model Building for a 6 GeV Higgs Moritz McGarrie

2 .The Higgs mass 6 GeV m h ' m z cos ( )+ 3 (4 ) m 4 t v ew " log m t m t + X t m t ( X t m t ) # X t = t µ cot 6 = Radiative corrections are same order as tree level piece Fine tuning effects all models: R-S, composite Higgs, little Higgs, SUSY etc corrections run logarithmically in SUSY MSSM case implies either heavy stops or large X_t=_t +...

3 Fine tuning: little hierarchy problem m z = (m H u + µ )+... For a natural cancellation these should be of the same order ight Higgsino and Wino ight stops m H u 3y t m t 4 og m t m t = 8 sm 3 3 og M 3 ight(ish) Gluino

4 How do benchmark (minimal) models fair? rbey, Battaglia, Djouadi, Mahmoudi stops less than TeV The point is that these models all work, but only if the spectrum is very heavy e.g. 5- TeV stops: unnatural and unnobservable at HC4. if you give up on naturalness, is there any reason to see anything at the HC?

5 Reasons to (still) believe in SUSY Solves big hierarchy problem M EW /M Pl Improves GUT unification (and so too, stability of Proton) necessary for string theory (unification of all forces) radiatively induced EWSB in MSSM-like models. Believable dark matter candidate(s) It is consistent with low energy EW observables Improves fit to electric dipole moment, muon magnetic moment etc. MSSM bounds Higgs < 35 GeV

6 what are our choices? The trivial / Immoral option Split SUSY, some landscape (multiverse) gives an explanation for Yu, cc,m h (maybe more?) The hard / ugly / unbelievable option Generate large t (vanishing in mgmsb, uncalculable in SUGR and has other problems.) The innovative option or get creative...

7 In this talk I am going to give examples of models that improve naturalness Non decoupled D-terms (oife Bharucha, ndreas Goudelis & MM) 3.45 ISS & Flavour Gauge Messengers (F.Bruemmer,.Weiler & MM) (S.bel & MM) (Both presented at SUSY 3)

8 quiver model: motivation non decoupled D-terms: lifts the Higgs (sometimes substantially) Batra, Delgado, Kaplan, Tait 3949 extra adjoints of SU(),SU(3): lifts the Higgs More natural than NMSSM? embeds into magnetic SQCD Deconstructs an extra dimension SSM G visible G hidden DSB Φ, Φ Split families Batra, Kaplan,Tait, Delgado 445/4973 m h ' m z cos ( )+ 3 m 4 t (4 ) Related works: Csaki, Erlich, Grojean,Kribs 644 Medina, Shah, Wagner GGM and Deconstruction M.M. 9. and.558 uzzi, Giveon, Gudnason, Shacham S.bel, M. Goodsell Bharucha,Goudelis, M.M v ew " log m t m t + X t m t ( X t m t g m z m z + + g ) # = g (H uh u H X d H d) g (H u a H u + H d v ew a =( g g B m ) m v +m a H d )

9 D-terms Vs NMSSM m h ' m z cos ( )+ 3 (4 ) m 4 t v ew " log m t m t + X t m t ( X t m t ) # =( g g B m ) m v +m W NMSSM SH u H d = g (H uh u H X d H d) g (H u a H u + H d a H d ) V ( s) H u H d g m z m z + + g a v ew m h = m z cos( )+ v ew sin( ) 4 m t é = 5 GeV, m = GeV & t= -5 GeV 35 m h, ê GeV D = D' D-term enhancement for tanbeta F-term enhancement only for small tanbeta tanb

10 4 m h = 5.5 GeV, Tan b =, m = GeV & m Q3 = m U3 D = D' M.M. Moortgat-Pick & S.Porto, G Sub TeV stops.3 for. m t 35 tan b =, m = GeV & m t = 5 GeV é 3 (Distance)^ ~ fine tuning m h, GeV 5 D = D' X - - t GeV Combination of medium size t and Deltas can do the trick (GMSB back in the game?) So far most studies of D-terms have been at tree-level and bottom-up...

11 meta model Bharucha,Goudelis, M.M SSM DSB G visible G hidden Φ, Φ The most sophisticated model so far implemented into a spectrum generator (SRH/SPHENO) meta-model i.e. independent of the type of supersymmetry breaking: MSB, msugr, GMSB, phenomenological, other?

12 Building a taylor made spectrum generator We used SRH mathematica package: a spectrum generator generator to write our own spectrum generator. We implemented 5 gauge groups with full -loop RGE s and one loop self energies (soon 6 and 9 gauge groups). M messenger Higgsing, and breaking to the diagonal 4 gauge groups, including all mixing matrices and assignment of Goldstones, Ghosts, RGEs of vevs, and Bmu at loop. ll 3 and 4 vertices of all fields computed, and self energies. Threshold scale: MSSM ll anomalous dimensions, tadpoles and running of all additional soft terms and additional Yukawas, at loop level. HC finite shifts and threshold corrections also accounted for. Can talk to Feynrts, FormCalc, CalcHep, Higgsignals, HiggsBounds, WHIZRD. micromegs, Vevacious and more.

13 Bharucha,Goudelis, M.M The Quiver Variations st gen. nd gen. MSSM st gen. DSB Φ, Φ DSB Φ, Φ nd gen. 3 rd gen. G G B 3 rd gen. G G B H u H d H u H d st gen. MSSM DSB Φ, Φ nd gen. 3 rd gen. G G B H u H d T u T d

14 Wish list v<tev m >m v We assumed GMSB for soft terms Our wishes were not granted we had to enlarge m to Bharucha,Goudelis, M.M make it work But perhaps this can be improved by considering different SUSY breaking scenarios Ex. pplying msugr here may get v down

15 Bharucha,Goudelis, M.M st gen. nd gen. MSSM st gen. DSB Φ, Φ DSB Φ, Φ nd gen. G G B 3 rd gen. G G B 3 rd gen. H u H d H u H d

16 Bharucha,Goudelis, M.M MSSM MSSM st gen. nd gen. MSSM st gen. DSB Φ, Φ DSB Φ, Φ nd gen. G G B 3 rd gen. G G B 3 rd gen. H u H d H u H d

17 IC sensitivity IC sensitivity Testable at IC m H = 6 8 m H = IC 5 m H = 8 Testing with S.Porto, G. Moortgat-Pick (DESY) m H = IC 5 IC IC umup m H = m H = Bharucha,Goudelis, M.M D = D'

18 m h ' m z cos ( )+ 3 (4 ) m 4 t v ew " log m t m t + X t m t ( X t m t ) # + m h, = 3m Z 6 vew ( 8 3 sin W )cos m t ln m q 3 mũ3 R Stop splitting enhances Higgs -loop st gen. nd gen. MSSM st gen. DSB Φ, Φ DSB Φ, Φ nd gen. G G B 3 rd gen. G G B 3 rd gen. H u H d H u H d Bharucha,Goudelis, M.M. 3.45

19 . Flavour Gauge Messengers (F.Bruemmer,.Weiler & MM) (S.bel & MM) SU(3) SU() 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

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

21 Flavour changing neutral currents Model : degenerate st & nd (S.bel & MM) u, <. mass GeV 5 5 m t m G t m c m c 5 ij = m q m q (m q + m q ) K ijk ii m u m u * K K Model : split st & nd g F maxhdm u 3 ê5 ê3 ê mass GeV 5 m t m t G 5 m c m c m u m u g F m u

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

23 It turns out that this model can embed into magnetic SQCD too Field G SM SU(3) SU(3) R ˆQ f (, 6, 3) (3, ) ˆ f (,, ) (3, ) Ĥ d (,, ) (,) Ĥ u (,, ) (,) ˆD f (, 3, 3) (,3) Û f (, 3, 3) (,3) Ê f (,, ) (, 3) ˆ f (,, ) (, 3) Dynamical metastable flavour gauge mediation Natural SUSY is more generic in the string landscape than previously thought µ ij = Field SU(Ñ) mag SU(3) SU(3) R (3, 3) ' (3, ) ' (,3) µ µ µ 3 hµ 3 W mag = htr' ' µ Tr. and ' T = ' µ µ such that V min = h µ 4 3, m Q,U,D = gf h µ Perhaps we can explain Yukawas too W = u H uq U + d H dq D (S.bel & MM) 44.38

24 vailable for hire :) Thanks for listening Conclusions Most models are in bad shape Perhaps it is a time to panic? Natural SUSY is well motivated from bottom up Some of these have top-down motivation too It does mean sacrificing minimality