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  Leading-Color Two-Loop Amplitudes for Four Partons and a W Boson in QCD

Abreu, S., Febres Cordero, F., Ita, H., Klinkert, M., Page, B., & Sotnikov, V. (2022). Leading-Color Two-Loop Amplitudes for Four Partons and a W Boson in QCD. Journal of High Energy Physics, 04, 042. Retrieved from https://publications.mppmu.mpg.de/?action=search&mpi=MPP-2021-181.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000C-B5A1-1 Version Permalink: https://hdl.handle.net/21.11116/0000-000C-B5A2-0
Genre: Journal Article

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 Creators:
Abreu, S.1, Author
Febres Cordero, F.1, Author
Ita, H.1, Author
Klinkert, M.1, Author
Page, B.1, Author
Sotnikov, V.1, Author
Affiliations:
1Max Planck Institute for Physics, Max Planck Society and Cooperation Partners, ou_2253650              

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Free keywords: Theoretical Physics
 Abstract: We present the leading-color two-loop QCD corrections for the scattering of four partons and a $W$ boson, including its leptonic decay. The amplitudes are assembled from the planar two-loop helicity amplitudes for four partons and a vector boson decaying to a lepton pair, which are also used to determine the planar two-loop amplitudes for four partons and a $Z/\gamma^*$ boson with a leptonic decay. The analytic expressions are obtained by setting up a dedicated Ansatz and constraining the free parameters from numerical samples obtained within the framework of numerical unitarity. The large linear systems that must be solved to determine the analytic expressions are constructed to be in Vandermonde form. Such systems can be very efficiently solved, bypassing the bottleneck of Gaussian elimination. Our results are expressed in a basis of one-mass pentagon functions, which opens the possibility of their efficient numerical evaluation.

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 Dates: 2022
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: Other: MPP-2021-181
URI: https://publications.mppmu.mpg.de/?action=search&mpi=MPP-2021-181
arXiv: arxiv:2110.07541
URI: https://inspirehep.net/literature?q=find%20eprint%202110.07541
 Degree: -

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Title: Journal of High Energy Physics
  Abbreviation : JHEP
Source Genre: Journal
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Pages: - Volume / Issue: 04 Sequence Number: - Start / End Page: 042 Identifier: -