  We calculate the meson spectrum of the Sp(4) lattice gauge theory coupled to
two fundamental flavours of dynamical Dirac fermions. We focus on some of the
lightest (flavoured) spin-0 and spin-1 states. This theory provides an
ultraviolet completion for composite Higgs models based upon the SU(4)/Sp(4)
coset. We analyse the strongly coupled dynamics in isolation, without explicit
coupling to the standard model. We carry out continuum extrapolations using
dynamical ensembles generated at five different values of bare lattice
coupling, and for several values of the bare fermion mass. We fit the resulting
meson masses and decay constants to a low-energy effective field theory built
along the ideas of hidden local symmetry. We also compare our results to those
of other closely related lattice gauge theories, which have matter content
consisting of two fundamental Dirac flavours.
