Threshold resummation of transverse momentum distributions beyond next-to-leading log
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.
Keywords
Cite
@article{arxiv.2106.11321,
title = {Threshold resummation of transverse momentum distributions beyond next-to-leading log},
author = {Stefano Forte and Giovanni Ridolfi and Simone Rota},
journal= {arXiv preprint arXiv:2106.11321},
year = {2021}
}
Comments
21 pages, no figures. Final version, to be published in JHEP. References 2-3 added, clarification at the end of sect 4.1 added, typo in eq .96 corrected