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arXiv · 2207.12265

Approximating missing higher-orders in transverse momentum distributions using resummations

Niccolò Laurenti·Tanjona R. Rabemananjara·Roy Stegeman
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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.

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Niccolò Laurenti, Tanjona R. Rabemananjara, Roy Stegeman. 2022-07-25. Approximating missing higher-orders in transverse momentum distributions using resummations. https://arxiv.org/abs/2207.12265

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