The ''screening and renormalization'' approach allows for a mathematic
ally correct incorporation, in three-body scattering theory, of the lo
ng-ranged Coulomb interaction between charged particles. It is based o
n first calculating the transition amplitudes using screened Coulomb p
otentials. Then, after renormalization the zero-screening limit, leadi
ng to the amplitudes pertaining to unscreened Coulomb potentials, is p
erformed numerically. Within this formalism the proton-induced breakup
of deuterons is investigated, with the Coulomb repulsion between the
two protons taken into account. Kinematically complete differential cr
oss sections in various kinematic configurations are calculated and co
mpared with the results of an identical calculation but for the neutro
n-induced reaction. In this way information on the size of the Coulomb
effects in the proton-deuteron reaction can be extracted. Comparison
is made with experimental data at 13.0 MeV projectile energy. In addit
ion, the quality of approximate ways of including the Coulomb interact
ion is studied.