A complete and minimal catalogue of MSSM gauge invariant monomials

Abstract

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.

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

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• Gauge invariant MSSM inflaton
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• Reheating in supersymmetric high scale inflation
• The Fate of SUSY Flat Directions and their Role in Reheating
• The nonperturbative decay of SUSY flat directions
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• Supersymmetric Leptogenesis and the Gravitino Bound
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Cited by in corpus (5)

• Higgs, Moduli Problem, Baryogenesis and Large Volume Compactifications
• Affleck-Dine Baryogenesis and Inflation in Supergravity with Strongly Stabilized Moduli
• Asymmetric Dark Matter from Spontaneous Cogenesis in the Supersymmetric Standard Model
• Towards Constraining Affleck-Dine Baryogenesis
• $\nu$MSSM superpotential to 6th order - normalised and with no superfluous couplings