The Unresolved Behaviour of Polarized Scattering Matrix Elements at NNLO in QCD

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Hauptverfasser: Gehrmann, Thomas, Löchner, Markus
Format: Preprint
Veröffentlicht: 2025
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author Gehrmann, Thomas
Löchner, Markus
author_facet Gehrmann, Thomas
Löchner, Markus
contents Spin asymmetries in collisions of spin-polarized hadrons probe polarized parton distributions, which encode the spin structure of the colliding hadrons. To perform precision physics studies with spin asymmetries, higher order QCD corrections to the underlying polarized cross sections are required. Their numerical implementation relies on the use of an infrared subtraction scheme, which extracts the infrared singular pieces from the real and virtual subprocesses. We derive the universal behaviour of longitudinally polarized real radiation matrix elements in their infrared-singular limits up to next-to-next-to-leading order (NNLO) in QCD, thereby enabling the construction of infrared subtraction schemes for generic polarized cross sections at NNLO.
format Preprint
id arxiv_https___arxiv_org_abs_2511_09691
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The Unresolved Behaviour of Polarized Scattering Matrix Elements at NNLO in QCD
Gehrmann, Thomas
Löchner, Markus
High Energy Physics - Phenomenology
Spin asymmetries in collisions of spin-polarized hadrons probe polarized parton distributions, which encode the spin structure of the colliding hadrons. To perform precision physics studies with spin asymmetries, higher order QCD corrections to the underlying polarized cross sections are required. Their numerical implementation relies on the use of an infrared subtraction scheme, which extracts the infrared singular pieces from the real and virtual subprocesses. We derive the universal behaviour of longitudinally polarized real radiation matrix elements in their infrared-singular limits up to next-to-next-to-leading order (NNLO) in QCD, thereby enabling the construction of infrared subtraction schemes for generic polarized cross sections at NNLO.
title The Unresolved Behaviour of Polarized Scattering Matrix Elements at NNLO in QCD
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2511.09691