Abstract
We consider two-loop corrections to 2 → 2 scattering processes with massive particles in the final state and massive particles in the loop. We discuss the combination of analytic expansions in the high-energy limit and for small Mandelstam variable t. For the example of double Higgs boson production we show that the whole phase space can be covered and time-consuming numerical integrations can be avoided.
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Acknowledgments
We would like to thanks Gudrun Heinrich and Stephen Jones for helpful comments on the draft of this manuscript. This research was supported by the Deutsche Forschungs-gemeinschaft (DFG, German Research Foundation) under grant 396021762 — TRR 257 “Particle Physics Phenomenology after the Higgs Discovery” and has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme grant agreement 101019620 (ERC Advanced Grant TOPUP). The work of GM was supported by JSPS KAKENHI (No. JP20J00328). The work of JD was supported by the Science and Technology Facilities Council (STFC) under the Consolidated Grant ST/T00102X/1.
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Davies, J., Mishima, G., Schönwald, K. et al. Analytic approximations of 2 → 2 processes with massive internal particles. J. High Energ. Phys. 2023, 63 (2023). https://doi.org/10.1007/JHEP06(2023)063
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DOI: https://doi.org/10.1007/JHEP06(2023)063