A general algorithm to build real-radiation antenna functions for higher-order calculations

A bstract The antenna subtraction method has been successfully applied to a wide range of processes relevant for the Large Hadron Collider at next-to-next-to-leading order in α s (NNLO). We propose an algorithm for building antenna functions for any number of real emissions from an identified pair o...

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Published inThe journal of high energy physics Vol. 2023; no. 6; pp. 65 - 56
Main Authors Braun-White, Oscar, Glover, Nigel, Preuss, Christian T
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 13.06.2023
Springer Nature B.V
SpringerOpen
Subjects
Algorithms
Antennas
Automation
Classical and Quantum Gravitation
Elementary Particles
High energy physics
Higher-Order Perturbative Calculations
Integrals
Large Hadron Collider
Parton Shower
Partons
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Quarks
Radiation
Radiators
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Subtraction
Parton Shower
Higher-Order Perturbative Calculations
Online AccessGet full text
ISSN1029-8479
1126-6708
1127-2236
1029-8479
DOI10.1007/JHEP06(2023)065

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Abstract A bstract The antenna subtraction method has been successfully applied to a wide range of processes relevant for the Large Hadron Collider at next-to-next-to-leading order in α s (NNLO). We propose an algorithm for building antenna functions for any number of real emissions from an identified pair of hard radiator partons directly from a specified list of unresolved limits. We use the algorithm to explicitly build all single- and double-real QCD antenna functions and compare them to the previous antenna functions, which were extracted from matrix elements. The improved antenna functions should be more easily applicable to NNLO subtraction terms. Finally, we match the integration of the antenna functions over the final-final unresolved phase space to the previous incarnation, serving as an independent check on our results.
AbstractList A bstract The antenna subtraction method has been successfully applied to a wide range of processes relevant for the Large Hadron Collider at next-to-next-to-leading order in α s (NNLO). We propose an algorithm for building antenna functions for any number of real emissions from an identified pair of hard radiator partons directly from a specified list of unresolved limits. We use the algorithm to explicitly build all single- and double-real QCD antenna functions and compare them to the previous antenna functions, which were extracted from matrix elements. The improved antenna functions should be more easily applicable to NNLO subtraction terms. Finally, we match the integration of the antenna functions over the final-final unresolved phase space to the previous incarnation, serving as an independent check on our results.
Abstract The antenna subtraction method has been successfully applied to a wide range of processes relevant for the Large Hadron Collider at next-to-next-to-leading order in α s (NNLO). We propose an algorithm for building antenna functions for any number of real emissions from an identified pair of hard radiator partons directly from a specified list of unresolved limits. We use the algorithm to explicitly build all single- and double-real QCD antenna functions and compare them to the previous antenna functions, which were extracted from matrix elements. The improved antenna functions should be more easily applicable to NNLO subtraction terms. Finally, we match the integration of the antenna functions over the final-final unresolved phase space to the previous incarnation, serving as an independent check on our results.
The antenna subtraction method has been successfully applied to a wide range of processes relevant for the Large Hadron Collider at next-to-next-to-leading order in αs (NNLO). We propose an algorithm for building antenna functions for any number of real emissions from an identified pair of hard radiator partons directly from a specified list of unresolved limits. We use the algorithm to explicitly build all single- and double-real QCD antenna functions and compare them to the previous antenna functions, which were extracted from matrix elements. The improved antenna functions should be more easily applicable to NNLO subtraction terms. Finally, we match the integration of the antenna functions over the final-final unresolved phase space to the previous incarnation, serving as an independent check on our results.
The antenna subtraction method has been successfully applied to a wide range of processes relevant for the Large Hadron Collider at next-to-next-to-leading order in α s (NNLO). We propose an algorithm for building antenna functions for any number of real emissions from an identified pair of hard radiator partons directly from a specified list of unresolved limits. We use the algorithm to explicitly build all single- and double-real QCD antenna functions and compare them to the previous antenna functions, which were extracted from matrix elements. The improved antenna functions should be more easily applicable to NNLO subtraction terms. Finally, we match the integration of the antenna functions over the final-final unresolved phase space to the previous incarnation, serving as an independent check on our results.
ArticleNumber 65
Author Braun-White, Oscar
Glover, Nigel
Preuss, Christian T
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  orcidid: 0000-0001-5417-598X
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  organization: Institute for Particle Physics Phenomenology, Department of Physics, Durham University
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  surname: Glover
  fullname: Glover, Nigel
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  givenname: Christian T
  orcidid: 0000-0003-1254-0250
  surname: Preuss
  fullname: Preuss, Christian T
  organization: Institute for Theoretical Physics, ETH
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SSID ssj0015190
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Snippet A bstract The antenna subtraction method has been successfully applied to a wide range of processes relevant for the Large Hadron Collider at...
The antenna subtraction method has been successfully applied to a wide range of processes relevant for the Large Hadron Collider at next-to-next-to-leading...
Abstract The antenna subtraction method has been successfully applied to a wide range of processes relevant for the Large Hadron Collider at...
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StartPage 65
SubjectTerms Algorithms
Antennas
Automation
Classical and Quantum Gravitation
Elementary Particles
High energy physics
Higher-Order Perturbative Calculations
Integrals
Large Hadron Collider
Parton Shower
Partons
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Quarks
Radiation
Radiators
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Subtraction
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Title A general algorithm to build real-radiation antenna functions for higher-order calculations
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