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Analytic results for Sudakov form factors in QCD

MPS-Authors

Ebert,  Markus A.
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

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Citation

Ebert, M. A. (2022). Analytic results for Sudakov form factors in QCD. Journal of High Energy Physics, 02, 136.


Cite as: https://hdl.handle.net/21.11116/0000-000C-B54F-0
Abstract
Sudakov form factors appear ubiquitously in factorized cross sections where they allow one to resum large logarithms to all orders in perturbation theory. Their exact evaluation requires numerical integrals over anomalous dimensions, which in practice can hamper efficiency. Alternatively, one can use approximate analytic solutions, which provide fast evaluation at the cost of numerical precision and loss of properties such as renormalization group invariance. We provide an exact analytic expression of the QCD Sudakov form factor which allows one to obtain fast and numerically exact results.