Leading-color two-loop amplitudes for four partons and a $\textit{W}$ boson in QCD

Abreu, S.; Cordero, F. Febres; Ita, H.; Klinkert, M.; Page, B.; Sotnikov, V.

doi:10.1007/jhep04(2022)042

Title: Leading-color two-loop amplitudes for four partons and a $$\textit{W}$$ boson in QCD

Journal Article · Thu Apr 07 00:00:00 EDT 2022 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep04(2022)042· OSTI ID:1865596

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European Organization for Nuclear Research (CERN), Geneva (Switzerland); Univ. of Edinburgh, Scotland (United Kingdom); Univ. of California, Los Angeles, CA (United States)
Florida State Univ., Tallahassee, FL (United States)
Albert-Ludwigs-Universität Freiburg (Germany)
European Organization for Nuclear Research (CERN), Geneva (Switzerland)
Max Planck Institute for Physics, Munich (Germany); Univ. of Zurich (Switzerland)

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 $$Z/γ^\ast$$ 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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Research Organization:: Florida State Univ., Tallahassee, FL (United States)

Sponsoring Organization:: USDOE; European’s Union Horizon 2020; German Research Foundation (DFG); Ministry of Science, Research and the Arts Baden-Württemberg

Grant/Contract Number:: SC0010102; 896690; 725110

OSTI ID:: 1865596

Journal Information:: Journal of High Energy Physics (Online), Vol. 2022, Issue 4; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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