Analytic amplitudes for a pair of Higgs bosons in association with three partons
Abstract The pair production of Higgs bosons at the LHC can give information about the triple Higgs boson coupling. We perform an analytic one-loop calculation of the amplitudes for a pair of Higgs bosons in association with three partons, retaining the exact dependence on the quark mass circulating...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-10-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP10(2024)230 |
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| author | John M. Campbell Giuseppe De Laurentis R. Keith Ellis |
| author_facet | John M. Campbell Giuseppe De Laurentis R. Keith Ellis |
| author_sort | John M. Campbell |
| collection | DOAJ |
| description | Abstract The pair production of Higgs bosons at the LHC can give information about the triple Higgs boson coupling. We perform an analytic one-loop calculation of the amplitudes for a pair of Higgs bosons in association with three partons, retaining the exact dependence on the quark mass circulating in the loop. These amplitudes constitute the real radiation corrections in the calculation of Higgs boson pair production at next-to-leading order in the strong coupling. The results of an analytic generalised-unitarity computation are simplified via analytic reconstruction in spinor variables. Compact ansätze for kinematic pole residues are iteratively fitted via p-adic evaluations near said poles and subtracted until no pole remains. A new ansatz construction is introduced to minimally parametrise coefficients of amplitudes with multiple massive external legs. The simplified expressions are faster to evaluate than automatic codes and can lead to more stable results near singular regions. |
| format | Article |
| id | doaj-art-8027c5dea25c408ea40cff4ff122fbc0 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-8027c5dea25c408ea40cff4ff122fbc02024-12-08T12:10:41ZengSpringerOpenJournal of High Energy Physics1029-84792024-10-0120241014910.1007/JHEP10(2024)230Analytic amplitudes for a pair of Higgs bosons in association with three partonsJohn M. Campbell0Giuseppe De Laurentis1R. Keith Ellis2FermilabHiggs Centre for Theoretical Physics, University of EdinburghInstitute for Particle Physics Phenomenology, Durham UniversityAbstract The pair production of Higgs bosons at the LHC can give information about the triple Higgs boson coupling. We perform an analytic one-loop calculation of the amplitudes for a pair of Higgs bosons in association with three partons, retaining the exact dependence on the quark mass circulating in the loop. These amplitudes constitute the real radiation corrections in the calculation of Higgs boson pair production at next-to-leading order in the strong coupling. The results of an analytic generalised-unitarity computation are simplified via analytic reconstruction in spinor variables. Compact ansätze for kinematic pole residues are iteratively fitted via p-adic evaluations near said poles and subtracted until no pole remains. A new ansatz construction is introduced to minimally parametrise coefficients of amplitudes with multiple massive external legs. The simplified expressions are faster to evaluate than automatic codes and can lead to more stable results near singular regions.https://doi.org/10.1007/JHEP10(2024)230Higgs ProductionHigher-Order Perturbative CalculationsScattering Amplitudes |
| spellingShingle | John M. Campbell Giuseppe De Laurentis R. Keith Ellis Analytic amplitudes for a pair of Higgs bosons in association with three partons Journal of High Energy Physics Higgs Production Higher-Order Perturbative Calculations Scattering Amplitudes |
| title | Analytic amplitudes for a pair of Higgs bosons in association with three partons |
| title_full | Analytic amplitudes for a pair of Higgs bosons in association with three partons |
| title_fullStr | Analytic amplitudes for a pair of Higgs bosons in association with three partons |
| title_full_unstemmed | Analytic amplitudes for a pair of Higgs bosons in association with three partons |
| title_short | Analytic amplitudes for a pair of Higgs bosons in association with three partons |
| title_sort | analytic amplitudes for a pair of higgs bosons in association with three partons |
| topic | Higgs Production Higher-Order Perturbative Calculations Scattering Amplitudes |
| url | https://doi.org/10.1007/JHEP10(2024)230 |
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