A complete and minimal catalogue of MSSM gauge invariant monomials

Details A complete and minimal catalogue of MSSM gauge invariant monomials A complete and minimal catalogue of MSSM gauge invariant monomials

2009-10-02

arxiv.org/abs/0910.0244v3

Int.J.Mod.Phys.A25:3375-3387,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages. v2: References added. v2+v3: Typos corrected

Scientific paper

10.1142/S0217751X10049815

We present a complete and minimal catalogue of MSSM gauge invariant monomials. That is, the catalogue of Gherghetta, Kolda and Martin is elaborated to include generational structure for all monomials. Any gauge invariant operator can be built as a linear combination of elements of the catalogue lifted to nonnegative integer powers. And the removal of any one of the monomials would deprive the catalogue of this feature. It contains 712 monomials - plus 3 generations of righthanded neutrinos if one extends the model to the $\nu$MSSM. We note that $\nu$MSSM flat directions can all be lifted by the 6th order superpotential - compared to the 9th order needed in MSSM.

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