Every iε matters
by
Color coherence, together with soft-collinear factorization, forms the cornerstone of our understanding of factorization theorems, thus underpinning precision collider phenomenology. While these concepts work very well for lepton colliders, it is known that strict collinear factorization breaks already at the one-loop level for hadron colliders. This has interesting consequences for our current treatment of such observables, and we recently discovered that even the simplest, global observables are affected.
In my talk I will derive a factorization theorem for N-jettiness at hadron colliders which accounts for the subtleties arising from space-like splittings, leading to coherence violating logarithms (CVLs). As PDF factorization becomes highly non-trivial for global observables under these circumstances, I will showcase how a similar reconciliation of PDF factorization with space-like collinear splittings was achieved in the case of non-global observables.