Quarks and leptons are members of the family of particles called fermions, come in pairs and are each divided into three generations. Force carriers are the intermediate vector bosons which transmit the three fundamental forces through which matter interacts. The gluon handles the strong atomic force. The photon handles the electromagnetic force. And the W and Z bosons handle the weak force.
The Standard Model works beautifully as long as the physicists add the Higgs field/boson particle to the quarks and leptons. The bottom line is that nobody has been able to make a Higgs or see one and thus the Standard Model might fail for absence of evidence.
The indirect effects of the Higgs (or whatever it might be) include the connection of the mass of the W boson to those of the quarks. The top quark, with a large mass, has a detectable impact on the W whose magnitude of impact depends on the (yet unobserved) Higgs. Without it, the Ws mass would be significantly lower.
But even if we find the Higgs, all the mysteries are not solved. Whereas the Standard Model would be self-consistent, it would make the Higgs mass very large whereas the indirect evidence is that it is not large. The Standard Model itself would still have no particles to explain dark matter or dark energy it would only address ordinary matter, the 5% of the critical density of the universe.
The answer may lie in the supersymmetry theory of which the Standard Model would be one part. In this model each particle has a corresponding superparticle with a greater mass. As the theory goes, the superparticles which remained after the big bang form the remaining critical density of the universe.
Strangely, because of the capabilities of the accelerators we currently have it may well be that we are able to prove the superparticles before the Higgs boson (because superparticles have a greater mass).
Even now physicists often refer the standard model in past tense preferring to concentrate on supersymmetry or higher dimensionality as Physicist remarked on The mysteries of mass, post 17
It is possible that the particles we see are all actually massless, their apparent masses corresponding to extra-dimensional momentum components we can't as yet detect.
It was rhetorical question.