Higgsino mass matrix ansatz for MSSM

Abstract

An ansatz, Det. MH = 0, for the Higgsino mass matrix in string orbifold trinification is suggested toward the minimal supersymmetric standard model(MSSM). Small instanton solutions effective around the GUT scale can fulfil this condition. An argument that the couplings contain a moduli field is given for a dynamical realization of this Higgsino mass matrix ansatz.

Dynamicalμand MSSM

“…However, the form (1.2) is not the one we expect toward a pair of light Higgs doublets since the minima generally do not choose a massless doublet. If the potential is of the form Det.M f as suggested in [5], then a massless Higgsino doublet (s) and hence a massless pair(s) of Higgs bosons will follow. A possibility for this kind of determinental interaction is present if small scale instantons are important.…”

“…On the other hand, recently an ansatz was suggested so that that the MSSM problem can be understood dynamically [5]. In this spirit, we promote the µ term as a dynamical field [5].…”

“…It is the dynamical realization of the doublettriplet splitting, which was first put forward as an ansatz in Ref. [5]. If Case (i) of (3.12) is chosen, then the MSSM results.…”

“…5 The color triplet Higgsinos are made superheavy not affected by the determinental interaction. But, for this scenario to be made successful, the one loop contribution will not spoil the condition of m 1 ≃ 0.…”

“…5 Here, N c corresponds to the nonabelian group SU(N c ). Our interest is to find out some instantons by whichH is emitted but quarks and leptons are not.…”