We derive a general expression for the threshold resummation of transverse momentum distributions for processes with a colorless final state, by suitably generalizing the renormalization-group based approach to threshold resummation previously pursued by two of us. The ensuing expression holds to all logarithmic orders, and it can be used to extend available results in the literature, which only hold up to the next-to-leading log (NLL) level. We check agreement of our result with the existing NLL result, as well as against the known fixed next-to-leading order results for the Higgs transverse momentum distribution in gluon fusion, and we provide explicit expressions at the next-to-next-to-leading log level.

Threshold resummation of transverse momentum distributions beyond next-to-leading log / S. Forte, G. Ridolfi, S. Rota. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2021:8(2021 Aug 23), pp. 110.1-110.23. [10.1007/JHEP08(2021)110]

Threshold resummation of transverse momentum distributions beyond next-to-leading log

Forte, Stefano;Rota, Simone
2021-08-23

Abstract

We derive a general expression for the threshold resummation of transverse momentum distributions for processes with a colorless final state, by suitably generalizing the renormalization-group based approach to threshold resummation previously pursued by two of us. The ensuing expression holds to all logarithmic orders, and it can be used to extend available results in the literature, which only hold up to the next-to-leading log (NLL) level. We check agreement of our result with the existing NLL result, as well as against the known fixed next-to-leading order results for the Higgs transverse momentum distribution in gluon fusion, and we provide explicit expressions at the next-to-next-to-leading log level.
Resummation; Perturbative QCD;
Settore FIS/02 - Fisica Teorica, Modelli e Metodi Matematici
H2020_ERC17SFORT_01 - Proton strucure for discovery at the Large Hadron Collider (NNNPDF) - FORTE, STEFANO - H2020_ERC - Horizon 2020_Europern Research Council - 2017
JOURNAL OF HIGH ENERGY PHYSICS
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/868043
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