Abstract
A framework for an improved TMD (iTMD) factorization scheme at small x, involving off-shell perturbative subamplitudes, was recently developed as an interpolation between the TMD kt ≪ Q regime and the BFKL kt ∼ Q regime. In this article, we study the relation between CGC and iTMD amplitudes. We first show how the dipole-size expansion of CGC amplitudes resembles the twist expansion of a TMD amplitude. Then, by isolating kinematic twists, we prove that iTMD amplitudes are obtained with infinite kinematic twist accuracy by simply getting rid of all genuine twist contributions in a CGC amplitude. Finally we compare the amplitudes obtained via a proper kinematic twist expansion to those obtained via a more standard dilute expansion to show the relation between the iTMD framework and the dilute low x framework. This allows to reinterpret the dilute expansion as a Wandzura-Wilczek approximation in the large kt regime.
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Altinoluk, T., Boussarie, R. & Kotko, P. Interplay of the CGC and TMD frameworks to all orders in kinematic twist. J. High Energ. Phys. 2019, 156 (2019). https://doi.org/10.1007/JHEP05(2019)156
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DOI: https://doi.org/10.1007/JHEP05(2019)156