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We investigate the possibility of generating the $\mu$-term in the MSSM bythe condensation of a field that is a singlet under the SM gauge group butcharged under an additional family-independent $U(1)_X$ gauge symmetry. Weattempt to do so while preserving the gauge coupling unification of the MSSM.For this, we find that SM non-singlet exotics must be present in the spectrum.We also prove that the pure $U(1)_X$ anomalies can always be solved withrationally charged fields, but that a large number of SM singlets are oftenrequired. For $U(1)_X$ charges that are consistent with an embedding of theMSSM in SU(5) or SO(10), we show that the $U(1)_X$ charges of the MSSM statescan always be expressed as a linear combination of abelian subgroups of $E_6$.However, the SM exotics do not appear to have a straightforward embedding intoGUT multiplets. We conclude from this study that if this approach to the$\mu$-term is correct, as experiment can probe, it will necessarily complicatethe standard picture of supersymmetric grand unification.Comment: 10 pages, no figure

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Tension between gauge coupling unification, the Higgs boson mass, and a gauge-breaking origin of the supersymmetric<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>μ</mml:mi></mml:math>-term

Tension between gauge coupling unification, the Higgs boson mass, and a gauge-breaking origin of the supersymmetricμ-term