Two-loop leading-color helicity amplitudes for three-photon production at the LHC
We calculate all planar contributions to the two-loop massless helicity amplitudes for the process qq¯¯ → γγγ. The results are presented in fully analytic form in terms of the functional basis proposed recently by Chicherin and Sotnikov. With this publication we provide the two-loop contributions al...
| Main Authors: | , , , |
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| Format: | Journal article |
| Language: | English |
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Springer Nature
2021
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| _version_ | 1797059761148002304 |
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| author | Chawdhry, HA Czakon, M Mitov, A Poncelet, R |
| author_facet | Chawdhry, HA Czakon, M Mitov, A Poncelet, R |
| author_sort | Chawdhry, HA |
| collection | OXFORD |
| description | We calculate all planar contributions to the two-loop massless helicity amplitudes for the process qq¯¯ → γγγ. The results are presented in fully analytic form in terms of the functional basis proposed recently by Chicherin and Sotnikov. With this publication we provide the two-loop contributions already used by us in the NNLO QCD calculation of the LHC process pp → γγγ [Chawdhry et al. (2019)]. Our results agree with a recent calculation of the same amplitude [Abreu et al. (2020)] which was performed using different techniques. We combine several modern computational techniques, notably, analytic solutions for the IBP identities, finite-field reconstruction techniques as well as the recent approach [Chen (2019)] for efficiently projecting helicity amplitudes. Our framework appears well-suited for the calculation of two-loop multileg amplitudes for which complete sets of master integrals exist. |
| first_indexed | 2024-03-06T20:08:50Z |
| format | Journal article |
| id | oxford-uuid:29d95438-4328-46fd-af07-5466d5358cb3 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T20:08:50Z |
| publishDate | 2021 |
| publisher | Springer Nature |
| record_format | dspace |
| spelling | oxford-uuid:29d95438-4328-46fd-af07-5466d5358cb32022-03-26T12:21:40ZTwo-loop leading-color helicity amplitudes for three-photon production at the LHCJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:29d95438-4328-46fd-af07-5466d5358cb3EnglishSymplectic ElementsSpringer Nature2021Chawdhry, HACzakon, MMitov, APoncelet, RWe calculate all planar contributions to the two-loop massless helicity amplitudes for the process qq¯¯ → γγγ. The results are presented in fully analytic form in terms of the functional basis proposed recently by Chicherin and Sotnikov. With this publication we provide the two-loop contributions already used by us in the NNLO QCD calculation of the LHC process pp → γγγ [Chawdhry et al. (2019)]. Our results agree with a recent calculation of the same amplitude [Abreu et al. (2020)] which was performed using different techniques. We combine several modern computational techniques, notably, analytic solutions for the IBP identities, finite-field reconstruction techniques as well as the recent approach [Chen (2019)] for efficiently projecting helicity amplitudes. Our framework appears well-suited for the calculation of two-loop multileg amplitudes for which complete sets of master integrals exist. |
| spellingShingle | Chawdhry, HA Czakon, M Mitov, A Poncelet, R Two-loop leading-color helicity amplitudes for three-photon production at the LHC |
| title | Two-loop leading-color helicity amplitudes for three-photon production at the LHC |
| title_full | Two-loop leading-color helicity amplitudes for three-photon production at the LHC |
| title_fullStr | Two-loop leading-color helicity amplitudes for three-photon production at the LHC |
| title_full_unstemmed | Two-loop leading-color helicity amplitudes for three-photon production at the LHC |
| title_short | Two-loop leading-color helicity amplitudes for three-photon production at the LHC |
| title_sort | two loop leading color helicity amplitudes for three photon production at the lhc |
| work_keys_str_mv | AT chawdhryha twoloopleadingcolorhelicityamplitudesforthreephotonproductionatthelhc AT czakonm twoloopleadingcolorhelicityamplitudesforthreephotonproductionatthelhc AT mitova twoloopleadingcolorhelicityamplitudesforthreephotonproductionatthelhc AT ponceletr twoloopleadingcolorhelicityamplitudesforthreephotonproductionatthelhc |