University of Cambridge > Talks.cam > HEP phenomenology joint Cavendish-DAMTP seminar > Local Unitarity: a representation of differential cross-sections that is locally free of infrared singularities at any order

Local Unitarity: a representation of differential cross-sections that is locally free of infrared singularities at any order

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If you have a question about this talk, please contact Rene Poncelet.

The seminar will take place via vidyo here. The explicit url is: https://indico.cern.ch/event/978127/.

Abstract: One of the major challenges in computing higher-order corrections of collider observables is the treatment of infrared singularities. Local Unitarity is a novel representation of differential scattering cross-sections that locally realises the direct cancellation of infrared singularities exhibited by its so-called real-emission and virtual degrees of freedom. We take advantage of the Loop-Tree Duality representation of each individual forward-scattering diagram and we prove that the ensuing expression is locally free of infrared divergences, applies at any perturbative order and for any process without initial-state collinear singularities. Our representation is especially suited for a numerical implementation and we demonstrate its practical potential by computing fully numerically and without any IR counterterm the next-to-leading order accurate differential cross-section for the process e+ e− → d d. We also show first results beyond next-to-leading order by computing interference terms part of the N4LO -accurate inclusive cross-section of a 1 → 2 + X scalar scattering process.

This talk is part of the HEP phenomenology joint Cavendish-DAMTP seminar series.

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