Abstract
Hard thermal loops describe how soft gauge fields are screened and damped in hot plasmas. As such they are used to calculate transport coefficients, Sphaleron rates, equations of state, and particle production. However, most calculations are done using one-loop hard thermal loop self-energies. And two-loop contributions can be large. To that end this paper provides vector two-loop self-energies for generic models: any scalar, fermion, or vector representation; and all possible renormalizable terms. Several examples are given to showcase the results. Two-loop results for higher-point functions are also given.
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Acknowledgments
I am grateful to the high-energy physics group at the University of Granada for their hospitality as this work was being finished. I also want to thank Geraldine Servant for help with the manuscript. I am also grateful to Tyler Gorda, Risto Paatelainen, Saga Säppi, and Kaapo Seppänen for performing cross-checks with their independent result. This work has been supported by the Swedish Research Council, project number VR:2021-00363 and by the Deutsche Forschungsgemeinschaft under Germany’s Excellence Strategy — EXC 2121 Quantum Universe — 390833306.
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Ekstedt, A. Two-loop hard thermal loops for vector bosons in general models. J. High Energ. Phys. 2023, 135 (2023). https://doi.org/10.1007/JHEP06(2023)135
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DOI: https://doi.org/10.1007/JHEP06(2023)135