Constructing All-Order Corrections to Multi-Jet Rates

Details Constructing All-Order Corrections to Multi-Jet Rates Constructing All-Order Corrections to Multi-Jet Rates

2009-08-19

arxiv.org/abs/0908.2786v2

JHEP 1001:039,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

35 pages, v2: typos corrected

Scientific paper

10.1007/JHEP01(2010)039

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.

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