Abstract
Dynamics of high energy scattering in Quantum Chromodynamics (QCD) are primarily probed through detector energy flow correlations. One important example is the Energy-Energy Correlator (EEC), whose back-to-back limit probes correlations of QCD on the lightcone and can be described by a transverse-momentum dependent factorization formula in the leading power approximation. In this work, we develop a systematic method to go beyond this approximation. We identify the origin of logarithmically enhanced contributions in the back-to-back limit as the exchange of operators with low twists and large spins in the local operator product expansion. Using techniques from the conformal bootstrap, the large logarithms beyond leading power can be resummed to all orders in the perturbative coupling. As an illustration of this method, we perform an all-order resummation of the leading and next-to-leading logarithms beyond the leading power in \( \mathcal{N} \) = 4 Super Yang-Mills theory.
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Acknowledgments
We thank Zhongjie Huang, Kai Yan, and Xiaoyuan Zhang for useful discussions. H.C. and H.X.Z. are supported by the Natural Science Foundation of China under contract No. 11975200 and No. 12147103. X.N.Z. is supported by funds from UCAS and KITS, and by the Fundamental Research Funds for the Central Universities.
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Chen, H., Zhou, X. & Zhu, H.X. Power corrections to energy flow correlations from large spin perturbation. J. High Energ. Phys. 2023, 132 (2023). https://doi.org/10.1007/JHEP10(2023)132
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DOI: https://doi.org/10.1007/JHEP10(2023)132