Analytic amplitudes for a pair of Higgs bosons in association with three partons

Campbell, John M.; De Laurentis, Giuseppe; Ellis, R. Keith

doi:10.1007/jhep10(2024)230

Title: Analytic amplitudes for a pair of Higgs bosons in association with three partons

Journal Article · 29 October 2024 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep10(2024)230 · OSTI ID:2446910

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Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
Univ. of Edinburgh, Scotland (United Kingdom)
Durham Univ. (United Kingdom)

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.

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Research Organization:: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)

Sponsoring Organization:: Royal Society; USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC); USDOE Office of Science (SC), High Energy Physics (HEP); USDOE Office of Science (SC), Office of Workforce Development for Teachers & Scientists (WDTS)

Grant/Contract Number:: AC02-07CH11359

OSTI ID:: 2446910

Report Number(s):: FERMILAB-PUB--24-0498-T; IPPP/24/56; arXiv:2408.12686; oai:inspirehep.net:2821186

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 10 Vol. 2024; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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