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LHC measurements involve cuts on several observables, but resummedcalculations are mostly restricted to single variables. We show how theresummation of a class of double-differential measurements can be achievedthrough an extension of Soft-Collinear Effective Theory (SCET). A prototypicalapplication is $pp \to Z + 0$ jets, where the jet veto is imposed through thebeam thrust event shape ${\mathcal T}$, and the transverse momentum $p_T$ ofthe $Z$ boson is measured. A standard SCET analysis suffices for $p_T \simm_Z^{1/2} {\mathcal T}^{1/2}$ and $p_T \sim {\mathcal T}$, but additionalcollinear-soft modes are needed in the intermediate regime. We show how tomatch the factorization theorems that describe these three different regions ofphase space, and discuss the corresponding relations between fully-unintegratedparton distribution functions, soft functions and the newly definedcollinear-soft functions. The missing ingredients needed at NNLL/NLO accuracyare calculated, providing a check of our formalism. We also revisit thecalculation of the measurement of two angularities on a single jet in JHEP 1409(2014) 046, finding a correction to their conjecture for the NLL cross sectionat ${\mathcal O}(\alpha_s^2)$.

Resummation of Double-Differential Cross Sections and Fully-Unintegrated Parton Distribution Functions