The photon, while it has a spin of 1, has only two spin states (polarizations) allowd -- most spin-1 objects can be in three states, +1, 0, and -1, but the photon is massless and is missing the 0-spin state. The W and Z also have spin one, but they have all three spin states allowed. The gluon and the graviton are also missing the zero-spin state.

In addition, in the MSSM, there are five (!) Higgs bosons, three neutral ones, h, H, and A, and two charged ones, H+ and H-.

Here's the boson counting for superpartners:

Neutral Standard Model bosons (and extra Higgs for the MSSM)

photon (2 spin states)
Higgs (3 particles, each with no spin)
Z(3 spin states)

Their superpartners have the same quantum numbers and can mix. There are therefore four spin-1/2 "neutralinos" in the MSSM (each has two states, for a total of eight states, to match the eight total states above). Each of the four neutralinos can have a different mass.

The gluino (superpartner of the gluon) has spin 1/2, with two states to match the 2 polarization states of the gluon. These all have the 8 color states. This one doesn't mix with the others because it has color charge.

The gravitino (superpartner of the graviton) has spin 3/2, and so has four allowed spin states, to match the four spin states of the graviton. The gravitino doesn't mix either; it has different interactions from the neutralinos.

The charged bosons are the

W+ (3 spin states)
H+ (1 particle with no spin)

and there are two spin-1/2 "charginos" (mixtures of the superparters of these four states). The negatively-charged bosons correspond to negatively-charged charginos.

That just about does it!


I'll say!!


A