1 / 16

On the correlation of extra MSSM Higgs to stringent flat directions in heterotic string theory

Jared Greenwald Baylor University. On the correlation of extra MSSM Higgs to stringent flat directions in heterotic string theory. Outline. (Very) brief look at Strings, WCFFH and NAHE Higgs: Question and Motivation EFT’s Scalar and Super- Potential, D- and F-terms Flatness

darby
Download Presentation

On the correlation of extra MSSM Higgs to stringent flat directions in heterotic string theory

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Jared Greenwald Baylor University On the correlation of extra MSSM Higgs to stringent flat directions in heterotic string theory

  2. Outline • (Very) brief look at Strings, WCFFH and NAHE • Higgs: Question and Motivation • EFT’s • Scalar and Super- Potential, D- and F-terms • Flatness • D- and F-flatness • Recent Results • Conclusion • Future Work

  3. (Heterotic) String Theory

  4. WCFFH (Weakly-coupled Free Fermionic Heterotic string theory) • E8obs x E8hidden • Worldsheet endowed with fermionic fields • EFT: • Rich Phenomenology • Near MSSM, BSM, Hidden Sector, Semi-GUT’s [R-L, PS, fSU(5)] • NAHE (Nanopoulos, Antoniadis, Hagelin and Ellis) • Set of (phases) boundary vectors • E8obs(in D=10) -> SO(10) or SU(5) (in D=4) • SUSY: N=1 , 3 generation ,Tachyon-free, 4D Lorentz Invariant, Unitary

  5. Question/Motivation • Cleaver, Faraggi, Manno and Timirgaziu (Phys. Rev. D 78 (2008) 046009) • Reduced Higgs = add basis vectors with both symmetric and asymmetric BC • SO(10) -> SO(6) x SO(4) • This projects out untwisted Higgs multiplets • Leaves an untwisted EW Higgs doublet • Suggested: reduced Higgs -> reduced number of all-order flat directions (Moduli Stabilization) • Was this a general pattern?

  6. Question/Motivation II • Faraggi (Liverpool) • June 2010 • Four reduced-Higgs models • EFT Analysis: F77 • Input: prebuilt models • States • U(1) & Gauge charges • RNS sectors • Calculates superpotential • To any finite order – scale of SUSY breaking • Looks for flat directions (not without some “help”)

  7. EFT: Scalar Potential • The scalar potential for a supersymmetric model (for L): • φ = fields • α = {groups (~forces)} • a = {generators (~group mediators)} NOTE: VEV -> |< φ >|^2

  8. EFT • Supersymmetry is broken if: <V(φ)> ≠ 0 • D- & F-terms must be zero • Flat direction: • Moduli space • Moduli not stabilized compactification geometry can change due to QM fluctuations. • Locus of VEV’ed fields • Points, curves, regions in the <φ_i> planes <V(φ)> <φ_ j> <φ_i>

  9. Heterotic Free-Fermionic flatness: F-flatness • Construct W to given order • Calculate F-terms • F-flatness • Linear combinations of D-flat directions • Multiple terms • Cancelling between • Complicated • Might lose flatness at next order

  10. Heterotic Free-Fermionic flatness: F-flatness • Stringent F-flatness • Each term individually zero • More constraining • Flatness analysis • 1st: Look at potential ‘dangerous’ terms up to 6th order (10^17 GeV) • <2 unVeV’ed fields • 2nd:All-order test • Available only with stringent flatness • Constraints on Basis of allowed terms

  11. Heterotic Free-Fermionic flatness: F-flatness <V(φ)> • Isn’t “stringence”, well… too stringent? • Stringent flat directions are ‘roots’ to other flat directions • Not rigorously proved • General pattern <φ_j> <φ_i> <V(φ)> <φ_j> <φ_i>

  12. Results

  13. Conclusion • Reduced # of flat direction ≠ Reduced Higgs • Bad • # Higgs doesn’t yield any predictive power concerning flat direction moduli space • Good • Leaves more models open to be analyzed  • A closer look may yield other connections involving flat directions • Hidden sector • Exotic Higgs

  14. Future Work • Continued conversion F77 -> C++ • Single or multiple model analysis • Stand-alone and used with Baylor model building programs (FF and Gauge Frameworks) • Scan moduli space • Phenomenological calculations • Buzzword: Predictions… • Create or incorporate existing Pheno-programs • Mass matrices, Decay channels, Cross sections, Ω, Dark Matter & Forces • Constraining WCFFHS Landscape with experiment

  15. References • Cleaver, Faraggi, Manno and Timirgaziu ; Quasi–realistic heterotic–string models with vanishing one–loop cosmological constant and perturbatively broken supersymmetry?, Phys. Rev. D 78 (2008) 046009. • Cleaver, Faraggi, Greenwald, Moore, Pechan, Remkus, Renner; Investigation of Quasi–Realistic Heterotic String Models with Reduced Higgs Spectrum, arXiv:1105.0447 [hep-th]. • Cleaver, Nanopoulos, Perkins, Walker; On Geometrical Interpretation of Non-Abelian Flat Direction Constraints, Int. J Mod. Phys, Vol. 23 num. 22. • Cleaver, Supersymmetries in free fermionic strings, Nucl Phys B 456 (1995), pgs 219-256. • Kristen Pechan, Master’s Thesis: Investigation of Low Higgs Models in Weakly Coupled Free Fermionic Heterotic String Theory

  16. Acknowledgments • Dr. Gerald Cleaver • Dr. AlonFaraggi • Doug Moore • Kristen Pechan, MS • Dr. Tim Renner homepages.baylor.edu/eucos/

More Related