Phase-space sectors for colour-ordered momentum mappings in local subtraction up to N3LO.
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| Title: | Phase-space sectors for colour-ordered momentum mappings in local subtraction up to N3LO. |
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| Authors: | Chen, Xuan1 (AUTHOR) xuan.chen@sdu.edu.cn, Marcoli, Matteo2 (AUTHOR) matteo.marcoli@durham.ac.uk |
| Source: | European Physical Journal C -- Particles & Fields. Feb2026, Vol. 86 Issue 2, p1-21. 21p. |
| Subjects: | Phase space, Quantum chromodynamics |
| Abstract: | Momentum maps connecting phase spaces of different multiplicities are widely used in precision calculations in QCD and collider phenomenology in general. The antenna mapping is a colour-ordered map which allows to absorb the recoil of an arbitrary number of emissions onto two hard radiators. Due to the rapid convergence in soft and collinear configurations, the antenna mapping is extensively used for fixed-order calculations within the antenna subtraction method, as well as in parton showers such as the VINCIA shower. However, colour-ordered momentum mappings cannot be directly applied in the presence of multiple unordered emissions of quarks and gluons, which typically appear beyond the leading-colour approximation. To address this technical challenge, we present, in the context of the antenna subtraction method, a simple decomposition of the phase space into sectors to isolate classes of infrared configurations which can be unambiguously assigned to a specific momentum ordering. In each sector, the singularities of any matrix element can be subtracted relying on a colour-ordered map. We illustrate the required phase-space sectors for up to three unordered emissions. The mapping algorithm described here has been recently employed for the first differential N 3 LO calculation of jet production at electron–positron colliders. [ABSTRACT FROM AUTHOR] |
| Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 192428966 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Phase-space sectors for colour-ordered momentum mappings in local subtraction up to N3LO. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Chen%2C+Xuan%22">Chen, Xuan</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> xuan.chen@sdu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Marcoli%2C+Matteo%22">Marcoli, Matteo</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> matteo.marcoli@durham.ac.uk</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22European+Physical+Journal+C+--+Particles+%26+Fields%22">European Physical Journal C -- Particles & Fields</searchLink>. Feb2026, Vol. 86 Issue 2, p1-21. 21p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Phase+space%22">Phase space</searchLink><br /><searchLink fieldCode="DE" term="%22Quantum+chromodynamics%22">Quantum chromodynamics</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Momentum maps connecting phase spaces of different multiplicities are widely used in precision calculations in QCD and collider phenomenology in general. The antenna mapping is a colour-ordered map which allows to absorb the recoil of an arbitrary number of emissions onto two hard radiators. Due to the rapid convergence in soft and collinear configurations, the antenna mapping is extensively used for fixed-order calculations within the antenna subtraction method, as well as in parton showers such as the VINCIA shower. However, colour-ordered momentum mappings cannot be directly applied in the presence of multiple unordered emissions of quarks and gluons, which typically appear beyond the leading-colour approximation. To address this technical challenge, we present, in the context of the antenna subtraction method, a simple decomposition of the phase space into sectors to isolate classes of infrared configurations which can be unambiguously assigned to a specific momentum ordering. In each sector, the singularities of any matrix element can be subtracted relying on a colour-ordered map. We illustrate the required phase-space sectors for up to three unordered emissions. The mapping algorithm described here has been recently employed for the first differential N 3 LO calculation of jet production at electron–positron colliders. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1140/epjc/s10052-026-15342-7 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 21 StartPage: 1 Subjects: – SubjectFull: Phase space Type: general – SubjectFull: Quantum chromodynamics Type: general Titles: – TitleFull: Phase-space sectors for colour-ordered momentum mappings in local subtraction up to N3LO. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Chen, Xuan – PersonEntity: Name: NameFull: Marcoli, Matteo IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 02 Text: Feb2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 14346044 Numbering: – Type: volume Value: 86 – Type: issue Value: 2 Titles: – TitleFull: European Physical Journal C -- Particles & Fields Type: main |
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