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Pran Nath

2012

Symmetry breaking

Articles 1 - 2 of 2

Full-Text Articles in Physical Sciences and Mathematics

R-B In Supergravity Grand Unification With Nonuniversal Soft Supersymmetry Breaking, Tarakeshwar Dasgupta, Pran Nath Apr 2012

R-B In Supergravity Grand Unification With Nonuniversal Soft Supersymmetry Breaking, Tarakeshwar Dasgupta, Pran Nath

Pran Nath

An analysis of supersymmetric contributions to Rb in supergravity grand unification with nonuniversal boundary conditions on soft supersymmetry breaking in the scalar sector is given. Effects on Rb of Planck scale corrections on gaugino masses are also analyzed. It is found that there exist regions of the parameter space where positive corrections to Rb of size ∼1σ can be gotten. The region of the parameter space where enhancement of Rb occurs is identified. Predictions of sparticle masses for the maximal Rb case are given. The analysis has implications for the discovery of supersymmetric particles at colliders.


Symmetry Breaking In Three-Generation Calabi-Yau Manifolds, Pran Nath, R. Arnowitt Apr 2012

Symmetry Breaking In Three-Generation Calabi-Yau Manifolds, Pran Nath, R. Arnowitt

Pran Nath

The spontaneous breaking of [SU(3)]3 symmetry to SU(3)×SU(2)×U(1) due to nonrenormalizable interactions in the three-generation Calabi-Yau superstring model is considered. It is seen that these models lead naturally to intermediate scales MI∼101⁵ GeV with simultaneous formation of N and νc vacuum expectation values (VEV’s). The lowest-lying extrema automatically preserve matter parity and hence protect the model against too rapid proton decay. Models with matter parity also protect against electroweak Higgs VEV’s from forming at MI. The intermediate mass scale produces some particles with mass O(MI). It also implies the existence of others with mass ∼1 TeV, which are possibly accessible …