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Phenomenology of Supersymmetric Gauge-Higgs Unification

Phenomenology of Supersymmetric Gauge-Higgs Unification. Sylvain Fichet LPSC Grenoble PhD supervisor : Sabine Kraml (LPSC) Collaboration : Felix Brümmer (IPPP Durham) and Arthur Hebecker (Heidelberg) Arxiv : 0906.2957. Theory. Gauge-Higgs Unification. 2.

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Phenomenology of Supersymmetric Gauge-Higgs Unification

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  1. Phenomenology of Supersymmetric Gauge-Higgs Unification Sylvain Fichet LPSC Grenoble PhD supervisor : Sabine Kraml (LPSC) Collaboration : Felix Brümmer (IPPP Durham) and Arthur Hebecker (Heidelberg) Arxiv : 0906.2957

  2. Theory Gauge-Higgs Unification 2 • What is Gauge-Higgs Unification ? • And with supersymmetry ? [Review : 0704.0833 ] 4D spin 1 : gauge 4D spin 0 : Higgs 5D vector superfield 4D vector superfield & 4D chiral superfield 4D spin 1 : gauge 4D spin 0 : Higgs

  3. SUSY GUTs with Gauge-Higgs Unification Theory 3 • Where SUSY GHU can appear ? • In the low energy limit of heterotic strings models, and in orbifold SUSY GUTs. • Natural way to break SUSY ? • With Radion Mediated SUSY breaking (RMSB) • [Chacko, Luty ’00 hep-ph/0008103] • Radion T = field associated to extra dimension fluctuation • Compactification implies SUSY breaking : • (radion ) • (chiral compensator : gravity effect ) • Anomaly Mediation contributions are generated at one-loop

  4. Theory A 5D complete realization 4 • Orbifold SUSY GUT with GHU + RMSB implies generically : • We take the 5D SU(6) model [Burdman, Nomura ’03 hep-ph/0210257] • - Compactification scale : • Gauge-Higgs sector : • Matter sector : • Confinement of matter fields controls • mass hierarchies (yukawas couplings) and • soft scalar parameters. 2 Higgs doublets Bulk Brane(4D) 3rd gen Gauge-Higgs 1,2nd generation

  5. Theory 5D complete realization : gauge-Higgs sector 5 • The high scale parameters of the gauge-Higgs sector are : • [Hebecker et al. 0801.4101] • is the coefficient of the Chern-Simons term, fixed in a full theory but here parametrized. [Review : 0805.1778] • For theory consistency : and

  6. Phenomenology Spectrum calculation 6 • How to calculate the spectrum of such models ? • Use a spectrum calculator… (SuSpect) [hep-ph/0211331] • …appropriately modified : • Impose at high energy. • Stable an simple • Input parameters are : • and parameters of the matter sector. • In the ‘5D complete realization’, the matter sector depends on • 2 mixing angles : and

  7. Phenomenology Scans and constraints 7 • Scans over • with 4 sign combination : and • Constraints : • Theoretical (verified in Suspect) : EWSB, CCB, tachyons • Collider experiments : • Mass bounds from LEP [http://lepsusy.web.cern.ch/lepsusy/] • B-physics (2σ): • [CDF 0712.1708 hep-ex] • [HFAG hep-ex/0603003] • Dark matter (3σ): • [WMAP 0803.0586 astro-ph]

  8. Scans and constraints Phenomenology 8 Scan with • LSP : • red : • blue : • green : • Points excluded by B-physics or too light • ~ similar result with • No points for the 2 other combinations

  9. Phenomenology RMSB parameter space 9 • RMSB parameters for the same points : • is , is not too large wrt • No points for !

  10. Phenomenology Relic density 10 • Dark matter relic density : 3σ WMAP measurement • Assuming standard cosmology ! Not enough Good Too much !

  11. Phenomenology Mass spectrum and decays 11 • Masses : • 3 possible LSPs • small 2 1 0

  12. Phenomenology Mass spectrum and decays 11 • Masses : • 3 possible LSPs • small • SFOS dilepton 2 65 % 30 % 1 ~50 % 0

  13. 12 • CONCLUSION : • SUSY GHU works,… • …has a particular mass spectrum, • … and has a good potential of discovery at LHC • TO-DO LIST : • Discrimination among other models • See what happens in warped geometry (holographic models…) • See what happens with a massive right-handed neutrino

  14. Thanks for your attention !

  15. EXTRAS

  16. Examples of mass spectrum

  17. Fixed point vs dichotomy f(x) f(x) x x f(x)-x 2 3 1 x

  18. Choice of SuSy breaking model : high-scale boundary conditions GUT scale Phys. masses/couplings Check : EWSB EWSB scale Sparticles mass matrices diagonalization Check : Spectrum minization, compute or Mz scale SuSy finite corrections to τ, b, t & sparticles masses Low scale values modified iteration Exp. data & guess of The SuSpect Algorithm

  19. A mSUGRA example : Higgs Gauginos Sparticles Gluino dominated squark running Radiative EWSB

  20. Higgs sector Higgs potential (after some gauge rotations) : -potentiel bounded from below : -non-trivial minimum : Minimization : with

  21. Higgs sector • The bilinear parameter µ • The bilinear parameter B (susy breaking) • Higgs masses (susy breaking) with

  22. Interesting features of other RGES • Superpotential parameter corrections are proportional to the parameters themselves : • All susy-breaking parameters depend on gaugino masses . • Squark masses receive large negative corrections from the gluino mass : • mass receives large positive corrections from the top yukawa : with

  23. Couplings and sparticles masses • Yukawas • Trilinear couplings (susy breaking) • Sparticle masses (susy breaking)

  24. Why such sign combinations ? Big and positive At Small or negative At

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