Abstract
We compute the one-loop corrections to gg → \(t\overline{t }H\) up to order \(\mathcal{O}\left({\epsilon }^{2}\right)\) in the dimensional-regularization parameter. We apply the projector method to compute polarized amplitudes, which generalize massless helicity amplitudes to the massive case. We employ a semi-numerical strategy to evaluate the scattering amplitudes. We express the form factors through scalar integrals analytically, and obtain separately integration by parts reduction identities in compact form. We integrate numerically the corresponding master integrals with an enhanced implementation of the Auxiliary Mass Flow algorithm. Using a numerical fit method, we concatenate the analytic and the numeric results to obtain fast and reliable evaluation of the scattering amplitude. This approach improves numerical stability and evaluation time. Our results are implemented in the Mathematica package TTH.
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Acknowledgments
We thank Fabrizio Caola, Cesare Carlo Mella, Nicolas Müller, Dennis Ossipov, Tiziano Peraro, and Nikolaos Syrrakos for useful discussions on various aspects of the calculation. This research was partly supported by the Excellence Cluster ORIGINS funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy — EXC-2094 — 390783311, and by the European Research Council (ERC) under the European Union’s research and innovation programme grant agreements ERC Starting Grant 949279 HighPHun and ERC Starting Grant 804394 hipQCD. The research of XL was also supported by the U.K. Science and Technology Facilities Council (STFC) under grant ST/T000864/1.
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Buccioni, F., Kreer, P.A., Liu, X. et al. One loop QCD corrections to gg → \(t\overline{t }H\) at \(\mathcal{O}\left({\epsilon }^{2}\right)\). J. High Energ. Phys. 2024, 93 (2024). https://doi.org/10.1007/JHEP03(2024)093
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DOI: https://doi.org/10.1007/JHEP03(2024)093