  Dimensional regularization is applied to the Lippmann-Schwinger equation for
a separable potential which gives rise to logarithmic singularities in the Born
series. For this potential a subtraction at a fixed energy can be used to
renormalize the amplitude and produce a finite solution to the integral
equation for all energies. This can be done either algebraically or
numerically. In the latter case dimensional regularization can be implemented
by solving the integral equation in a lower number of dimensions, fixing the
potential strength, and computing the phase shifts, while taking the limit as
the number of dimensions approaches three. We demonstrate that these steps can
be carried out in a numerically stable way, and show that the results thereby
obtained agree with those found when the renormalization is performed
algebraically to four significant figures.
