  We consider Drell-Yan production and QCD-induced diphoton production and
compute their rapidity distributions up to next-to-leading power (NLP) in the
threshold variable. We give results for rapidity distributions of the Drell-Yan
process up to NNLO accuracy and show that a factorised structure occurs for the
leading logarithms (LL) at NLP, generalising the result at leading power. For
diphoton production, we generalise methods based on kinematical shifts to find
the NLO cross section up to NLP for rapidity distributions. From the results
for these two processes, we derive resummed cross sections at NLP LL accuracy
that are double differential in the threshold variable and the rapidity
variable, which generalise results for single differential resummed cross
sections.
