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Two-Loop Hexa-Box Integrals for Non-Planar Five-Point One-Mass Processes
We present the calculation of the three distinct non-planar hexa-box topologies for five-point one-mass processes. These three topologies are required to obtain the two-loop virtual QCD corrections for two-jet-associated W, Z or Higgs-boson production. Each topology is solved by obtaining a pure bas...
Autores principales: | , , , |
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Lenguaje: | eng |
Publicado: |
2021
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.1007/JHEP03(2022)182 http://cds.cern.ch/record/2777344 |
_version_ | 1780971690232119296 |
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author | Abreu, Samuel Ita, Harald Page, Ben Tschernow, Wladimir |
author_facet | Abreu, Samuel Ita, Harald Page, Ben Tschernow, Wladimir |
author_sort | Abreu, Samuel |
collection | CERN |
description | We present the calculation of the three distinct non-planar hexa-box topologies for five-point one-mass processes. These three topologies are required to obtain the two-loop virtual QCD corrections for two-jet-associated W, Z or Higgs-boson production. Each topology is solved by obtaining a pure basis of master integrals and efficiently constructing the associated differential equation with numerical sampling and unitarity-cut techniques. We present compact expressions for the alphabet of these non-planar integrals, and discuss some properties of their symbol. Notably, we observe that the extended Steinmann relations are in general not satisfied. Finally, we solve the differential equations in terms of generalized power series and provide high-precision values in different regions of phase space which can be used as boundary conditions for subsequent evaluations. |
id | cern-2777344 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2021 |
record_format | invenio |
spelling | cern-27773442023-10-04T06:39:48Zdoi:10.1007/JHEP03(2022)182http://cds.cern.ch/record/2777344engAbreu, SamuelIta, HaraldPage, BenTschernow, WladimirTwo-Loop Hexa-Box Integrals for Non-Planar Five-Point One-Mass ProcessesParticle Physics - TheoryParticle Physics - PhenomenologyWe present the calculation of the three distinct non-planar hexa-box topologies for five-point one-mass processes. These three topologies are required to obtain the two-loop virtual QCD corrections for two-jet-associated W, Z or Higgs-boson production. Each topology is solved by obtaining a pure basis of master integrals and efficiently constructing the associated differential equation with numerical sampling and unitarity-cut techniques. We present compact expressions for the alphabet of these non-planar integrals, and discuss some properties of their symbol. Notably, we observe that the extended Steinmann relations are in general not satisfied. Finally, we solve the differential equations in terms of generalized power series and provide high-precision values in different regions of phase space which can be used as boundary conditions for subsequent evaluations.We present the calculation of the three distinct non-planar hexa-box topologies for five-point one-mass processes. These three topologies are required to obtain the two-loop virtual QCD corrections for two-jet-associated W, Z or Higgs-boson production. Each topology is solved by obtaining a pure basis of master integrals and efficiently constructing the associated differential equation with numerical sampling and unitarity-cut techniques. We present compact expressions for the alphabet of these non-planar integrals, and discuss some properties of their symbol. Notably, we observe that the extended Steinmann relations are in general not satisfied. Finally, we solve the differential equations in terms of generalized power series and provide high-precision values in different regions of phase space which can be used as boundary conditions for subsequent evaluations.arXiv:2107.14180oai:cds.cern.ch:27773442021-07-29 |
spellingShingle | Particle Physics - Theory Particle Physics - Phenomenology Abreu, Samuel Ita, Harald Page, Ben Tschernow, Wladimir Two-Loop Hexa-Box Integrals for Non-Planar Five-Point One-Mass Processes |
title | Two-Loop Hexa-Box Integrals for Non-Planar Five-Point One-Mass Processes |
title_full | Two-Loop Hexa-Box Integrals for Non-Planar Five-Point One-Mass Processes |
title_fullStr | Two-Loop Hexa-Box Integrals for Non-Planar Five-Point One-Mass Processes |
title_full_unstemmed | Two-Loop Hexa-Box Integrals for Non-Planar Five-Point One-Mass Processes |
title_short | Two-Loop Hexa-Box Integrals for Non-Planar Five-Point One-Mass Processes |
title_sort | two-loop hexa-box integrals for non-planar five-point one-mass processes |
topic | Particle Physics - Theory Particle Physics - Phenomenology |
url | https://dx.doi.org/10.1007/JHEP03(2022)182 http://cds.cern.ch/record/2777344 |
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