Abstract
We present a factorization theorem valid near the kinematic threshold \( z={Q}^2/\hat{s}\to 1 \) of the partonic Drell-Yan process \( q\overline{q}\to {\gamma}^{\ast }+X \) for general subleading powers in the (1 − z) expansion. We then consider the specific case of next-to-leading power. We discuss the emergence of collinear functions, which are a key ingredient to factorization starting at next-to-leading power. We calculate the relevant collinear functions at \( \mathcal{O}\left({\alpha}_s\right) \) by employing an operator matching equation and we compare our results to the expansion-by- regions computation up to the next-to-next-to-leading order, finding agreement. Factorization holds only before the dimensional regulator is removed, due to a divergent convolution when the collinear and soft functions are first expanded around d = 4 before the convolution is performed. This demonstrates an issue for threshold resummation beyond the leading-logarithmic accuracy at next-to-leading power.
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Beneke, M., Broggio, A., Jaskiewicz, S. et al. Threshold factorization of the Drell-Yan process at next-to-leading power. J. High Energ. Phys. 2020, 78 (2020). https://doi.org/10.1007/JHEP07(2020)078
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DOI: https://doi.org/10.1007/JHEP07(2020)078