Chiral interactions with Similarity Renormalization Group at the three-body level and beyond

Chiral effective field theory provides a systematic scheme to obtain two- (NN), three-body (3N) and higher-body interactions based on the fundamental symmetries of QCD. In the past years several chiral interactions were developed using different regulator functions, cutoffs and chiral expansion orders. Due to the recent extension of the Similarity Renormalization Group (SRG) beyond the two-body level, we are able to probe these interactions in ab initio nuclear structure calculations for nuclei in the p- and lower sd-shell. By applying the importance-truncated no-core shell model (IT-NSCM) to specific nuclei in the p-shell, we provide an uncertainty quantification for various NN+3N interaction e.g. by varying the cutoffs of the chiral order. In this context we demonstrate the importance of the three- and four-body contributions induced during the SRG transformation and give a perspective for the handling of SRG transformed chiral interactions including four-body contributions.