Linear power corrections to single top production processes at the LHC

• DOI: 10.48550/arxiv.2302.02729
• Publication Date: 2023-05-18
• Authors: Sergei Makarov; Kirill Melnikov; Paolo Nason; Melih A. Ozcelik
• Keywords: Specific QCD Phenomenology; FOS: Physical sciences; top; momentum; Top Quark; top, mass; QC770-798; nonperturbative; 7. Clean energy; 530; 01 natural sciences; High Energy Physics - Phenomenology (hep-ph); Nuclear and particle physics. Atomic energy. Radioactivity; 0103 physical sciences; info:eu-repo/classification/ddc/530; Scattering Amplitudes; total cross section; electroweak interaction; Physics; ddc:530; top, production; top, momentum; [PHYS.HPHE] Physics [physics]/High Energy Physics - Phenomenology [hep-ph]; High Energy Physics - Phenomenology; CERN LHC Coll; Nonperturbative Effects; [PHYS.HPHE]Physics [physics]/High Energy Physics - Phenomenology [hep-ph]; correction, nonperturbative; mass; renormalon; production; correction

Abstract We discuss the linear power corrections to the electroweak production of top quarks at the LHC using renormalon calculus. We show how such non-perturbative corrections can be obtained using the Low-Burnett-Kroll theorem, which provides the first subleading term to the expansion of the real-emission amplitudes around the soft limit. We demonstrate that there are no linear power corrections to the total cross sections of arbitrary processes of a single top production type provided that these cross sections are expressed in terms of a short-distance top quark mass. We also derive a universal formula for the linear power corrections to generic observables that involve the top-quark momentum.