Constructing All-Order Corrections to Multi-Jet Rates

TL;DR

This paper develops a universal, all-order approximation for multi-jet production cross sections at high rapidity separations, matching fixed-order results and including both real and virtual corrections.

Contribution

It introduces a set of rules for constructing exact in the high-rapidity limit scattering cross sections that are simple enough for explicit all-order summation.

Findings

The approximation accurately reproduces fixed-order results.

The method includes both real and virtual corrections.

It is applicable to various multi-jet processes at the LHC.

Abstract

We discuss the universal behaviour of scattering cross sections in the limit of infinite rapidity separation between all produced particles, and illustrate the behaviour explicitly for the production of n jets, W+n jets, Z+n jets for n=2,3,4, and for H+2,3 jets. We give a set of rules for constructing scattering cross sections, which are exact in the given limit, and order-by-order reproduce well the full fixed order results when applied to LHC phenomenology. The approximation includes both real and virtual corrections, and is sufficiently simple to allow for the regulated all-order perturbative sum to be explicitly constructed. We test the expected accuracy by comparing results order-by-order with full fixed-order perturbation theory for the processes mentioned above.