Factorization and Resummation for Jet Processes

TL;DR

This paper develops a new effective field theory framework for jet processes that enables the resummation of complex logarithmic contributions, including non-global logarithms, through novel factorization theorems and renormalization-group equations.

Contribution

It introduces a multi-Wilson-line factorization approach for narrow-cone jets, allowing higher-order resummation of non-global logarithms in jet cross sections.

Findings

Derived explicit two-loop results for logarithmically enhanced terms.

Verified theoretical predictions against numerical fixed-order computations.

Provided a basis for higher-order resummation of jet observables.

Abstract

From a detailed analysis of cone-jet cross sections in effective field theory, we obtain novel factorization theorems which separate the physics associated with different energy scales present in such processes. The relevant low-energy physics is encoded in Wilson lines along the directions of the energetic particles inside the jets. This multi-Wilson-line structure is present even for narrow-cone jets due to the relevance of small-angle soft radiation. We discuss the renormalization-group equations satisfied by these operators. Their solution resums all logarithmically enhanced contributions to such processes, including non-global logarithms. Such logarithms arise in many observables, in particular whenever hard phase-space constraints are imposed, and are not captured with standard resummation techniques. Our formalism provides the basis for higher-order logarithmic resummations of jet and other non-global observables. As a nontrivial consistency check, we use it to obtain explicit two-loop results for all logarithmically enhanced terms in cone-jet cross sections and verify those against numerical fixed-order computations.