Approximating missing higher-orders in transverse momentum distributions using resummations
Abstract
We present a more reliable approach to approximate the unknown next-to-next-to-next-to-leading order (N3LO) transverse momentum distribution of colourless final states, namely the Higgs boson produced via gluon fusion and the lepton pair produced via Drell--Yan (DY) mechanism. The approximation we construct relies on the combination of various resummation formalisms -- namely threshold, small-pt and high energy resummations -- by exploiting the singularity structure of the large logarithms in Mellin space. We show that for the case of Higgs boson production, the approximate N3LO transverse momentum distribution amounts to a correction of a few percent with respect to the NNLO result with a reduction in the scale dependence.
Cite
@article{arxiv.2207.12265,
title = {Approximating missing higher-orders in transverse momentum distributions using resummations},
author = {Niccolò Laurenti and Tanjona R. Rabemananjara and Roy Stegeman},
journal= {arXiv preprint arXiv:2207.12265},
year = {2022}
}
Comments
5 pages, 4 figures. Contribution to Proceedings of 29th Workshop on Deep-Inelastic Scattering and Related Subjects (May 2022)