Why do particles have mass?

1) they are made from constituents with mass

but why do constituents have mass?

2) deus ex machina

generated by couplings to higgs,

but what determines the couplings?

3) generated by interactions

The masses of light hadrons are mostly generated by the glue binding the light quarks together, with small contributions from the bare quark up and down quark masses, and electromagnetic interactions.

e.g. energy in electromagnetic fields of a charged particle

e.g. energy in fields binding together composite systems

e.g. photon mass in a medium (i.e. n>1, vg<c)

e.g. Higgs field? (see deus ex machina above)

e.g. technicolour