Abstract
The high energy (Regge) limit provides a playground for understanding all loop structures of scattering amplitudes, and plays an important role in the description of many phenomenologically relevant cross-sections. While well understood in the planar limit, the structure of non-planar corrections introduces many fascinating complexities, for which a general organizing principle is still lacking. We study the structure of multi-reggeon exchanges in the context of the effective field theory for forward scattering, and derive their factorization into collinear operators (impact factors) and soft operators. We derive the structure of the renormalization group consistency equations in the effective theory, showing how the anomalous dimensions of the soft operators are related to those of the collinear operators, allowing us to derive renormalization group equations in the Regge limit purely from a collinear perspective. The rigidity of the consistency equations provides considerable insight into the all orders organization of Regge amplitudes in the effective theory, as well as its relation to other approaches. Along the way we derive a number of technical results that improve the understanding of the effective theory. We illustrate this collinear perspective by re-deriving all the standard BFKL equations for two-Glauber exchange from purely collinear calculations, and we show that this perspective provides a number of conceptual and computational advantages as compared to the standard view from soft or Glauber physics. We anticipate that this formulation in terms of collinear operators will enable a better understanding of the relation between BFKL and DGLAP in gauge theories, and facilitate the analysis of renormalization group evolution equations describing Reggeization beyond next-to-leading order.
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Acknowledgments
We thank Simon Caron-Huot, Einan Gardi and Aniruddha Venkata for useful discussions. This work was supported by the U.S. Department of Energy, Office of Science, Office of Nuclear Physics, from DE-SC0011090. I.M. was supported by start-up funds from Yale University. I.S. was also supported in part by the Simons Foundation through the Investigator grant 327942. We also thank the Erwin-Schrödinger Institute and QFT at the Frontiers of the Strong Interaction workshop for support and hospitality while parts of this work were completed.
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Gao, A., Moult, I., Raman, S. et al. A collinear perspective on the Regge limit. J. High Energ. Phys. 2024, 328 (2024). https://doi.org/10.1007/JHEP05(2024)328
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DOI: https://doi.org/10.1007/JHEP05(2024)328