  Pion and kaon structural properties provide insights into the emergence of
mass within the Standard Model and attendant modulations by the Higgs boson.
Novel expressions of these effects, in impact parameter space and in mass and
pressure profiles, are exposed via $\pi$ and $K$ generalised parton
distributions, built using the overlap representation from light-front wave
functions constrained by one-dimensional valence distribution functions that
describe available data. Notably, e.g. $K$ pressure profiles are spatially more
compact than $\pi$ profiles and both achieve near-core pressures of similar
magnitude to that found in neutron stars.
