in the MSSM with extra vectorlike matters Junji Hisano Nagoya Univ Focus Workshop on Particle Physics and Cosmology From 5 th to 9 th Dec 2016 IBS CTPU Based on collaboration with ID: 1001859
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1. Origin of large At in the MSSM with extra vector-like matters Junji Hisano (Nagoya Univ.)Focus Workshop on Particle Physics and CosmologyFrom 5th to 9th ,Dec., 2016 IBS-CTPU Based on collaboration with Kuwahara and Kuramoto (arXiv:1611.07670)
2. Hierarchy problem Gauge coupling unification WIMP dark matter Composition of UniverseHierarchy problem “Still” leading candidate for BSMsGrand Unified TheoriesSUSY standard model
3. 125 GeV Higgs mass in the MSSM3Tree levelLarge log correctionFinite correction One-loop correctionLarge stop mass ( )Large At term ( ) New interaction (New Yukawa, U(1)’, NMSSM, …)
4. Mass spectrum in High-scale SUSY4
5. Strategy to High-scale SUSYLightest SUSY particle (LSP):winoIndirect detection of wino dark matter. Wino pair annihilation is enhanced by the Sommerfeld effect. Line gamma rays from galactic center will be searched for at CTA.Direct detection of wino dark matter. The spin-independent cross section is ~ 10-47 cm2, which is not suppressed by wino mass itself.EDM induced by Barr-Zee diagrams. Even if Higgsino mass is 100TeV, electron EDM reach to ~ 10-30 e cm.If wino mass is lighter than ~1TeV, it may be discovered at LHC. 5
6. LHC still has possibility to find SUSY ? Large At scenario One loop correction to mh is maximized when . Here . Stop lighter than 1TeV is possible. Introduction of soft scalar masses at the GUT/Planck scale may have FCNC problems. The gaugino mediation predicts heavy gluino and squarks in MSSM.From Draper et al (11)
7. Extra mattersExtra maters are sometimes introduced to MSSM.SU(5) 5 and 5* from 27 in E6 GUTs and extra family in string theories.Gauge mediated SUSY breaking. Introduction of SU(5) complete multiplets does not disturb the gauge coupling unification. (SUSY primer by S.Martin)7 +5+5*+10+10*
8. Effects on Higgs mass from extra mattersAssumption: Soft scalar masses for squarks and sleptons, including A terms, are zero @ GUT scale.If extra matter have Yukawa coupling with Higgs, additional radiative correction to mh appears. (Moroi and Okada) If N5=3,4 (N5: number of pair of SU(5) 5 and 5*), large At is radiatively derived since SU(3)C is asymmetric non-free. (Moroi, Yanagida, Yokozaki) If extra scalars have soft mass much larger than gaugino masses, large At is effectively derived since stop masses are radiatvely reduced. (JH, Kuwahara, &Kuramoto) 8
9. Large At due to N5=3,4 RGE for At:At @SUSY scale : Mh (N5=3)Mh (N5=4)(Moroi, Yanagida, Yokozaki)
10. Large At due to N5=3,4 Gluino can be lighter than ~3TeV. LSP depend on models.(Moroi, Yanagida, Yokozaki)
11. Effects on Higgs mass from extra mattersAssumption: Soft scalar masses for squarks and sleptons, including A terms, are zero @ GUT scale.If extra matter have Yukawa coupling with Higgs, additional radiative correction to mh appears. (Moroi and Okada) If N5=3,4 (N5: number of pair of SU(5) 5 and 5*), large At is radiatively derived since SU(3)C is asymmetric non-free. (Moroi, Yanagida, Yokozaki) If extra scalars have soft mass much larger than gaugino masses, large At is effectively derived since stop masses are radiatvely reduced. (JH, Kuwahara, &Kuramoto) 11
12. Extra scalars with soft mass much larger than gaugino masses Assume N5=1 for simplicity. SUSY masses: Soft masses:Here, their soft masses are much larger than the gaugino masses, and the soft masses for squarks and sleptons are zero.Realization: variant gaugino mediation model in extra dimension.quarksleptons SUSY beakingextra scalars Gaugino masses are suppressed by U(1)R symmetry compared with extra scalar masses.
13. Extra scalars with soft mass much larger than gaugino masses RGEs for soft squark and slepton mass squareds :Squarks and slepton masses can be lighter than gaugino masses when 1 and 2-loop contributions cancel each other.At term is increased by larger gaugino masses. 125 GeV Higgs mass is realized in the large At scenario when stop masses are smaller due to the cancellation. 1 loop2 loopYukawas are ignored.
14. Extra scalars with soft mass much larger than gaugino masses Why one- and two-loop contributions are comparable?: AnthropicColor or charge breaking vacua are irrelevant to habitable universe for us.If probability of theory is an increasing function of extra soft scalar masses, our vacuum likely stays around the boundary.
15. Numerical results (Model 1)At GUT scale Higgs mass (GeV)Stop1 mass (TeV)Tachyonic StauTachyonic Stau
16. Gluino mass<1.9TeVBoundary of neutralino LPS Stau LSP regionTachyonic StauMh=125GeVStop1 mass (TeV)
17. Numerical results (Model 1)Stop mass larger than ~1.6 TeV.Stau LSP.Higgs mass (GeV)Stop1 mass (TeV)Tachyonic StauTachyonic Stau
18. Numerical results (Model 2)At GUT scale Higgs mass (GeV)Stop1 mass (TeV)Tachyonic StopTachyonic Stop
19. Numerical results (Model 2)Stop mass as large as 1 TeV.Stau LSP.Higgs mass (GeV)Stop1 mass (TeV)Tachyonic StopTachyonic Stop
20. Mass spectumStop can be around 1 TeV.Stau LSP is strongly constrained. R-parity breaking or axino LSP ?Wino or Higgsino LSP are possible , depending on the BCs.
21. Similar modelsEffective SUSY model1st and 2nd generation sfermion masses >> the other sparticle massesParticle contents are minimum while flavor structure must be finely-tuned.1st and 2nd generation sfermion masses 3rd generation sfermion masses (Badziak et al (02))
22. Proton decay in SUSY SU(5) GUTs EDMs induced by extra matter FCNC induced by Z’ boson in SUSY SO(10) GUTs (→ Yuji will talk)Phenomenology of Extra matter in SUSY SM
23. Proton decay in SUSY SU(5) GUTsIntroduction of extra matter makes the gauge coupling const. larger so that proton decay induced by X boson is enhanced. From top to bottom, four lines correspond to N5=0,1,2,3,4. We include one-loop threshold correction at GUT scale. (JH, Kuwahara, Omura)Takumi Kuwahara
24. Nucleon EDMs induced by extra matterIntegration of extra quarks induces gluino CEDM. By integrating out gluino, the Weinberg operator is generated.From naïve dimensional analysis, （JH, Kobayashi, Kuwahara, Kuramoto)
25. Summary of my talkLarge At term gives us chance to discover SUSY particles at LHC. The origin may be considered in MSSM with extra matters whenN5=3,4 (Moroi, Yokozaki, Yanagida) Extra matter with soft mass larger than gaugino masses. (JH, Kuwahara, Kuramoto) In those cases SUSY Flavor problems do not exit, and light stop or gluino accessible at LHC may be predicted. LSP is model-dependent. The second (our) scenario still has an ugly part (splitting of soft masses of D’ and L’). More devices may be possible in order to care tachyonic stau.
26.
27. Numerical results (Model 3)At GUT scale Higgs mass (GeV)Stop1 mass (TeV)Tachyonic StopTachyonic Stop
28. Numerical results (Model 3)Higgs mass (GeV)Stop1 mass (TeV)Stop mass as large as 1 TeV.Higgsino LSP is possible near boundary of no EWSB.Tachyonic StopTachyonic Stop
29. Numerical results (Model 4)At GUT scale Higgs mass (GeV)Stop1 mass (TeV)Tachyonic StopTachyonic Stop
30. Numerical results (Model 4)Higgs mass (GeV)Stop1 mass (TeV)Tachyonic StopTachyonic StopStop mass as large as 1 TeV.Wino LSP.Tachyonic StopTachyonic Stop