In this work, we expand on the XENON1T nuclear recoil searches to study the individual signals of dark matter interactions from operators up to dimension eight in a chiral effective field theory (ChEFT) and a model of inelastic dark matter (iDM). We analyze data from two science runs of the XENON1T detector totaling
1 t×yr exposure. For these analyses, we extended the region of interest from
[4.9,40.9] keVNR to
[4.9,54.4] keVNR to enhance our sensitivity for signals that peak at nonzero energies. We show that the data are consistent with the background-only hypothesis, with a small background overfluctuation observed peaking between 20 and
50 keVNR, resulting in a maximum local discovery significance of
1.7σ for the
Vector⊗Vectorstrange ChEFT channel for a dark matter particle of
70 GeV/c2 and
1.8σ for an iDM particle of
50 GeV/c2 with a mass splitting of
100 keV/c2. For each model, we report 90% confidence level upper limits. We also report upper limits on three benchmark models of dark matter interaction using ChEFT where we investigate the effect of isospin-breaking interactions. We observe rate-driven cancellations in regions of the isospin-breaking couplings, leading to up to 6 orders of magnitude weaker upper limits with respect to the isospin-conserving case. Published by the American Physical Society 2024