Speaker
Description
We present two complementary advances toward precision QCD predictions for multi-jet processes at the LHC, both based on observables constructed with the Winner-Take-All (WTA) recombination scheme. First, we develop two generalizations of the transverse-momentum slicing variable $q_T$ applicable to jet final states, enabling a slicing approach for processes like $pp \to 2$ jets. A proof of concept is provided at NLO, along with factorization formulae that pave the way for NNLO extensions, demonstrated explicitly for $e^+e^- \to 2$ jets. The validation of these $q_T$-like variables crucially relies on the use of WTA axis definition. Second, we perform NNLL resummation for both the $\delta\phi$ and $q_T$ distributions in WTA dijet production, uncovering a novel structure of scale hierarchies in impact-parameter space. We show that large logarithms involving an auxiliary angle $\phi_b$ can be eliminated through refactorization of the soft function and the introduction of additional scale evolution. Together, these developments advance the theoretical toolkit for precision collider phenomenology involving jet observables.
