  The recently developed semi-local improved chiral nucleon-nucleon interaction
is used for the first time to study several electromagnetic and weak processes
at energies below the pion production threshold. Cross sections and selected
polarization observables for deuteron photodisintegration, nucleon-deuteron
radiative capture, three-body $^3$He photodisintegration as well as capture
rates for decays of the muonic $^2$H and $^3$He atoms are calculated. The
Lippmann-Schwinger and Faddeev equations in momentum space are solved to obtain
nuclear states. The electromagnetic current operator is taken as a single
nucleon current supplemented by many-body contributions induced via the Siegert
theorem. For muon capture processes the nonrelativistic weak current together
with the dominant relativistic corrections is used. Our results compare well
with experimental data, demonstrating the same quality as is observed for the
semi-phenomenological AV18 potential. Compared to the older version of the
chiral potential with a nonlocal regularization, a much smaller cut-off
dependence is found for the state-of-art chiral local interaction employed in
this paper. Finally, estimates of errors due to the truncation of the chiral
expansion are given.
