Phenomenology of Supersymmetric GaugeHiggs Unification Sylvain Fichet LPSC

Phenomenology of Supersymmetric Gauge-Higgs Unification Sylvain Fichet LPSC Grenoble Ph. D supervisor : Sabine Kraml (LPSC) Collaboration : Felix Brümmer (IPPP Durham) and Arthur Hebecker (Heidelberg) Arxiv : 0906. 2957 Sylvain Fichet, LPSC Phenomenology of SUSY Gauge-Higgs Unification Théorie-LHC France

Theory Gauge-Higgs Unification What is Gauge-Higgs Unification ? 4 D spin 1 : gauge 2 [Review : 0704. 0833 ] 4 D spin 0 : Higgs And with supersymmetry ? 5 D vector superfield 4 D vector superfield & 4 D chiral superfield 4 D spin 1 : gauge Sylvain Fichet, LPSC Phenomenology of SUSY Gauge-Higgs Unification 4 D spin 0 : Higgs Théorie-LHC France

Theory SUSY GUTs with Gauge-Higgs Unification 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 Sylvain Fichet, LPSC Phenomenology of SUSY Gauge-Higgs Unification Théorie-LHC France 3

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

Theory 5 D complete realization : gauge-Higgs sector • 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 : Sylvain Fichet, LPSC and Phenomenology of SUSY Gauge-Higgs Unification Théorie-LHC France 5

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

Phenomenology Scans and constraints • Scans over with 4 sign combination : 7 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] Sylvain Fichet, LPSC Phenomenology of SUSY Gauge-Higgs Unification Théorie-LHC France

Phenomenology Scans and constraints 8 Scan with • LSP : red : blue : green : • Points excluded by Bphysics or too light • ~ similar result with • No points for the 2 other combinations Sylvain Fichet, LPSC Phenomenology of SUSY Gauge-Higgs Unification Théorie-LHC France

Phenomenology RMSB parameter space 9 • RMSB parameters for the same points : • is , • No points for Sylvain Fichet, LPSC is not too large wrt ! Phenomenology of SUSY Gauge-Higgs Unification Théorie-LHC France

Phenomenology Relic density 10 • Dark matter relic density : 3σ WMAP measurement Not enough Good Too much ! Assuming standard cosmology ! Sylvain Fichet, LPSC Phenomenology of SUSY Gauge-Higgs Unification Théorie-LHC France

Phenomenology Mass spectrum and decays 11 • Masses : 2 • 3 possible LSPs • small 1 • 0 Sylvain Fichet, LPSC Phenomenology of SUSY Gauge-Higgs Unification Théorie-LHC France

Phenomenology Mass spectrum and decays 11 • Masses : 2 65 % 1 • 3 possible LSPs • small 30 % ~50 % • SFOS dilepton 0 Sylvain Fichet, LPSC Phenomenology of SUSY Gauge-Higgs Unification Théorie-LHC France

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 Sylvain Fichet, LPSC Phenomenology of SUSY Gauge-Higgs Unification Théorie-LHC France

Thanks for your attention ! Sylvain Fichet, LPSC Phenomenology of SUSY Gauge-Higgs Unification Théorie-LHC France

EXTRAS Sylvain Fichet, LPSC Phenomenology of SUSY Gauge-Higgs Unification Théorie-LHC France

Examples of mass spectrum Sylvain Fichet, LPSC Phenomenology of SUSY Gauge-Higgs Unification Théorie-LHC France

Fixed point vs dichotomy f(x) x x f(x)-x 2 3 1 x Sylvain Fichet, LPSC Phenomenology of SUSY Gauge-Higgs Unification Théorie-LHC France

The Su. Spect Algorithm GUT scale Choice of Su. Sy breaking model : high-scale boundary conditions Check : EWSB Phys. masses/couplings EWSB scale minization, compute or Sparticles mass matrices diagonalization Mz scale Exp. data & guess of Sylvain Fichet, LPSC Low scale values modified iteration Phenomenology of SUSY Gauge-Higgs Unification Check : Spectrum Su. Sy finite corrections to τ, b, t & sparticles masses Théorie-LHC France

A m. SUGRA example : Higgs Gauginos Sparticles Radiative EWSB Sylvain Fichet, LPSC Gluino dominated squark running Phenomenology of SUSY Gauge-Higgs Unification Théorie-LHC France

Higgs sector Higgs potential (after some gauge rotations) : -potentiel bounded from below : -non-trivial minimum : Minimization : with Sylvain Fichet, LPSC Phenomenology of SUSY Gauge-Higgs Unification Théorie-LHC France

Higgs sector • The bilinear parameter µ • The bilinear parameter B (susy breaking) • Higgs masses (susy breaking) with Sylvain Fichet, LPSC Phenomenology of SUSY Gauge-Higgs Unification Théorie-LHC France

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 Sylvain Fichet, LPSC Phenomenology of SUSY Gauge-Higgs Unification Théorie-LHC France

Couplings and sparticles masses • Yukawas • Trilinear couplings (susy breaking) • Sparticle masses (susy breaking) Sylvain Fichet, LPSC Phenomenology of SUSY Gauge-Higgs Unification Théorie-LHC France

Why such sign combinations ? Big and positive At Small or negative At Sylvain Fichet, LPSC Phenomenology of SUSY Gauge-Higgs Unification Théorie-LHC France