A realistic model of gauge-mediated SUSY-breaking scenario with superconformal hidden sector

Transcription

1 A realistic model of gauge-mediated SUSY-breaking scenario with superconformal hidden sector Masaki Asano (ICRR, Univ. of Tokyo) arxiv: Collaborator: Junji Hisano (ICRR), Takashi Okada (ICRR), Shohei Sugiyama (ICRR) 1

2 Low-energy Supersymmetric model is very attractive model. Hierarchy problem can be solved Dark matter existence GUT is improved as compared to SM However, SUSY mass terms induce too large FCNC. Gauge-mediated SUSY breaking (GMSB) SUSY To solve Hidden messenger MSSM SUSY is transmitted to MSSM sector through gauge interactions of messengers. SUSY mass of sfermions are flavor independent. 2

3 Gauge-mediated SUSY breaking (GMSB) SUSY Hidden S Messenger W = ( M m + κ S ) Φ m Φ m S is a singlet in Hidden sector & superfield responsible for SUSY MSSM Gaugino sfermion μ, B μ term Natural EWSB requires that μ is of the same size as superpertner masses. μ should arise at 1-loop diagram through SUSY 3

4 Gauge-mediated SUSY breaking (GMSB) SUSY Hidden S Messenger W = ( M m + κ S ) Φ m Φ m + λ u Φ m Φ m H u + λ d Φ m Φ m H d MSSM Gaugino sfermion μ term B μ term μ/b μ problem! Models which generate μ at 1-loop also tend to generate B μ at 1-loop. But natural EWSB requires that B μ is smaller than or of the order weak scale. 4

5 One of the solution of μ/b μ problem is Sequestering which is induced by superconformal hidden sector. As a result, conformal sequestering suppresses B μ (& sfermion mass squared ) If the sequestering effect is significant >> at scale M X (where conformality is broken) 5

6 Plan Introduction Superconformal Sequestering Minimal model and vacuum condition Realistic extension Summary 6

7 Before we look the sequestering effect, We assume messenger sector is minimal among models where μ term is generated by 1-loop. Messenger Q m U m E m (Q m U m E m ) come from SU(5) 10 (10 * ) multiplet have SU(5) symmetric mass & interaction terms We take on this minimal messenger model hereafter. 7

8 Conformal sequestering in gaugino & sfermion masses After decoupling of the messenger multiplet, gaugino & sfermion masses is same of typical gauge mediation. M Pl M Λ * E GeV Messenger scale conformal M X M w 8

9 Conformal sequestering in gaugino & sfermion masses M Pl M Λ * E GeV Messenger scale > 1 3R(S)-2 Wave function renormalization of S R(S) is R charge for S & >2/3 conformal 1PI contribution to S S When the hidden sector enters into conformal regime at Λ *, these terms receive huge radiative correction. When S is singlet under the hidden gauge groups, R(S) is larger than 2/3. M X M w 9

10 Conformal sequestering in gaugino & sfermion masses M Pl M Λ * E GeV Messenger scale > 1 3R(S)-2 Wave function renormalization of S R(S) is R charge for S & >2/3 conformal 1PI contribution to S S M X If α S > 0, sfermion masses are suppressed: at Mx (where conformality is breaken) Conformal sequestering is realized. M w 10

11 Conformal sequestering in Higgs sector M Pl M Λ * E GeV Messenger scale After decoupling of the messenger multiplet, these terms arise. conformal M X Conformal sequestering is realized. M w 11

12 Conformal sequestering in Higgs sector M Pl M Λ * E GeV Messenger scale conformal When the hidden sector enters into conformal regime at Λ *, these terms receive huge radiative correction. These terms comes from diagrams with Higgs doublet exchange. H S H S H M X M w 12

13 Conformal sequestering in Higgs sector M Pl E GeV M Messenger scale Λ * conformal M X If α S > 0, B μ term is suppressed: (redefinition of Conformal sequestering is realized. at Mx M w 13

14 As a result, we derived the following relations: >> m Hu,d & A Hu,d depend on μ sign(m 3 ) = sign(b) = - sign(a Hu,d scale M X (where conformality is broken) Model parameter is M X Gaugino mass M 3 μ A Hu /A Hd tanβ Next we discuss EWSB 14

15 Approximation mass parameter from RGE 1. In this model, sign(a Hu ) = - sign (M 3 ) Bμ/μ is large 2. Minimization condition M 3 /μ is large 3. M 3 /μ is large m A2 <0 15

16 In whole region, m A2 <0. The negative side in the minimal messenger model sign(a Hu ) = - sign (M 3 ) M 3 is large m A2 <0 Can we change this relation? 16

17 Extension If each messenger mass are different; each gaugino masses have various value(,not have GUT relation). sign(a Hu ) = - sign (M 3 ) M 3 is large m A2 <0 These relation can be change! 17

18 Extension : messengers are 10 & 10 * -dim. multiplet in SU(5) GUTs 16 & 16 * -dim. multiplet in SO(10) GUTs : GUT-symmetry breaking Higgs fields SU(5) : 24-dim. multiplet messenger masses are proportional to their Y Bino mass is zero. : 75-dim. multiplet messenger m U = -m Q μ & A = 0 SO(10) : 45-dim. multiplet is one of the minimal extension of the GMSB with SCHS without introducing CP violation! 18

19 Now we assume that all but SU(5) 10&10* multiplets of 16&16* are decoupled much above their masses (introducing an SO(10) 10-dim. multiplet in messenger sector) as a first step. In y > 0 region, M 3 is relatively light A Hu /M 3 > 0 These are welcome to EWSB We could easily find phenomenologically viable solution! 19

20 We use SuSpect & SusyBSG. The model can be applied for a broad range of Mx. Right-handed sleptons are very light, because sfermion soft masses ~0 at Mx & Bino is also light compared to Wino & Gluino. Anomalous magnetic moment of μ, The left-handed sleptons are so heavy that the SUSY contribution to aμ is suppressed. When the deviation is confirmed in future, this model would be disfavored. 20

21 Summary The sequestering of SUSY breaking parameters, which is induced by Superconformal hidden sector is one of the solutions for the μ/b μ problem in GMSB scenario. Minimal messenger model dose not derive correct EWSB. The Extension model (which has the coupling of the messenger with SO(10) GUT-sym. Higgs fields) is one of the realistic extensions of the gauge mediation model. This model is applicable for a broad range of conformality breaking scale. 21