We present a factorization theorem valid near the kinematic threshold =2/̂ →1 of the partonic Drell-Yan process ⎯⎯⎯→∗+ 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 () 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.
Beneke, M., Broggio, A., Jaskiewicz, S., Vernazza, L. (2020). Threshold factorization of the Drell-Yan process at next-to-leading power. JOURNAL OF HIGH ENERGY PHYSICS, 2020(7) [10.1007/JHEP07(2020)078].
Threshold factorization of the Drell-Yan process at next-to-leading power
Broggio,A;
2020
Abstract
We present a factorization theorem valid near the kinematic threshold =2/̂ →1 of the partonic Drell-Yan process ⎯⎯⎯→∗+ 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 () 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.File | Dimensione | Formato | |
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