Resummation of super-leading Logarithms and PDF Factorisation

by Patrick Hager (JGU Mainz)

Monday 16 Jun 2025, 16:00 → 17:00 Europe/Berlin

ENC-D308

Non-global observables receive intricate logarithmic corrections due to restrictions on the phase space for soft radiation. At hadron colliders, phase factors in the hard amplitude spoil collinear factorisation. This gives rise to double-logarithmic corrections, the so-called super-leading logarithms (SLLs), starting at four-loop order. In this talk, I present the first resummation of SLLs using renormalisation group techniques within an effective field theory framework, applied to gap-between-jets cross sections. I further demonstrate by explicit consistency checks at the three-loop level how the perturbative contributions from Glauber gluons precisely cancel the double-logarithmic running and non-DGLAP collinear evolution above the veto scale. This mechanism restores the standard DGLAP evolution required for consistency with parton distribution function (PDF) factorisation, and serves as an example how collinear factorisation breaking at high scales can be compatible with PDF factorisation at the hadronic scale.