Superpotential

About: Superpotential is a research topic. Over the lifetime, 3836 publications have been published within this topic receiving 137867 citations.

New fat Higgs: Increasing the MSSM Higgs mass with natural gauge unification

Abstract: In this paper we increase the minimal supersymmetric standard model tree level Higgs mass bound to a value that is naturally larger than the LEP-II search constraint by adding to the superpotential a $\ensuremath{\lambda}S{H}_{u}{H}_{d}$ term, as in the next to minimal supersymmetric standard model, and UV completing with new strong dynamics before $\ensuremath{\lambda}$ becomes nonperturbative. Unlike other models of this type, the Higgs fields remain elementary, alleviating the supersymmetric fine-tuning problem while maintaining unification in a natural way.

Effective Mu-Term in Superstring Theory

Abstract: In four-dimensional compactifications of the heterotic superstring theory the Kahler potential has a form which generically induces a superpotential mass term for Higgs particles once supersymmetry is broken at low energies. This ``$\mu$-term'' is analyzed in a model-independent way at the tree level and in the one-loop approximation, and explicit expressions are obtained for orbifold compactifications. Additional contributions which arise in the case of supersymmetry breaking induced by gaugino condensation are also discussed.

Superpotentials, A ∞ Relations and WDVV Equations for Open Topological Strings

Abstract: We give a systematic derivation of the consistency conditions which constrain open-closed disk amplitudes of topological strings. They include the A∞ relations (which generalize associativity of the boundary product of topological field theory), as well as certain homotopy versions of bulk-boundary crossing symmetry and Cardy constraint. We discuss integrability of amplitudes with respect to bulk and boundary deformations, and write down the analogs of WDVV equations for the space-time superpotential. We also study the structure of these equations from a string field theory point of view. As an application, we determine the effective superpotential for certain families of D-branes in B-twisted topological minimal models, as a function of both closed and open string moduli. This provides an exact description of tachyon condensation in such models, which allows one to determine the truncation of the open string spectrum in a simple manner.

Yukawa coupling unification in supersymmetric models

Abstract: We present an updated assessment of the viability of t−b−τ Yukawa coupling unification in supersymmetric models. For the superpotential Higgs mass parameter μ > 0, we find unification to less than 1% is possible, but only for GUT scale scalar mass parameter m 16 ~ 8−20 TeV, and small values of gaugino mass m 1/2400 GeV. Such models require that a GUT scale mass splitting exists amongst Higgs scalars with m H u 2 < m H d 2 . Viable solutions lead to a radiatively generated inverted scalar mass hierarchy, with third generation and Higgs scalars being lighter than other sfermions. These models have very heavy sfermions, so that unwanted flavor changing and CP violating SUSY processes are suppressed, but may suffer from some fine-tuning requirements. While the generated spectra satisfy b→sγ and (g−2)μ constraints, there exists tension with the dark matter relic density unless m 163 TeV. These models offer prospects for a SUSY discovery at the Fermilab Tevatron collider via the search for 12→3l events, or via gluino pair production. If μ < 0, Yukawa coupling unification to less than 5% can occur for m 16 and m 1/21−2 TeV. Consistency of negative μ Yukawa unified models with b→sγ, (g−2)μ , and relic density Ωh 2 all imply very large values of m 1/2 typically greater than about 2.5 TeV, in which case direct detection of sparticles may be a challenge even at the LHC.