  We study the zero temperature BCS gaps for the triplet channel in pure
neutron matter using Similarity Renormalization Group (SRG) evolved
interactions. We use the dependence of the results on the SRG resolution scale,
as a tool to analyze medium and many-body corrections. In particular, we study
the effects of including the three-body interactions at leading order, which
appear at N2LO in the Chiral EFT, as well as that of the first-order
self-energy corrections on the zero temperature gap. In addition we also
extract the transition temperature as a function of densities and verify the
BCS scaling of the zero temperature gaps to the transition temperature. We
observe that the self-energy effects are very crucial in order to reduce the
SRG resolution scale dependence of the results, while the three-body effects at
the leading order do not change the two-body resolution scale dependence. On
the other hand, the results depend strongly on the three-body cut-off,
emphasizing the importance of the missing higher-order three-body effects. We
also observe that self-energy effects reduce the overall gap as well as shift
the gap closure to lower densities.
