Abstract
In this note, we propose a factorization formula for gauge-theory scattering amplitudes up to two loops in the high-energy boosted limit. Our formula extends existing results in the literature by incorporating the contributions from massive loops. We derive the new ingredients in our formula using the method of regions with analytic regulators for the rapidity divergences. We verify our results with various form factors and the scattering amplitudes for top-quark pair production. Our results can be used to obtain approximate expressions for complicated two-loop massive amplitudes from simpler massless ones, and can be used to resum the mass logarithms to all orders in the coupling constant.
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Acknowledgments
Li-Lin Yang would like to thank Andrea Ferroglia and Ben Pecjak for earlier collaborations on related subjects. This work was supported in part by the National Natural Science Foundation of China under Grant No. 12375097, 12347103 and 11975030, and the Fundamental Research Funds for the Central Universities. The research of G. Wang was supported in part by the grant from the ERC (grant 101041109 ‘BOSON’).
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Wang, G., Xia, T., Yang, L.L. et al. On the high-energy behavior of massive QCD amplitudes. J. High Energ. Phys. 2024, 82 (2024). https://doi.org/10.1007/JHEP05(2024)082
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DOI: https://doi.org/10.1007/JHEP05(2024)082