$\nu$MSSM superpotential to 6th order - normalised and with no superfluous couplings

Abstract

We expand the superpotential of $\nu$MSSM to 6th order. This is the order at which all flat directions can be lifted. All 5179 couplings are independent ie. the superpotential cannot be zero for all fields, without all couplings being zero. Likewise, any gauge invariant potential to the 6th order can be made by fixing the constants. A specific and welldefined choice of normalisation has been adopted. The case for investigating this potential, rather than looking at one or several generalised flat directions is made.

10 pages. v2+v3+v4: typos corrected. v3: small expansion of section IIB. v5: Small rephrasing of II (before II A), commas added.

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