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Improving methods and predictions at high-energy $e^+e^-$ colliders within collinear factorisation

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arxiv 2207.03265 v2 pith:HYMO7KPL submitted 2022-07-07 hep-ph

classification hep-ph
keywords pdfscollinearfactorisationhigh-energypredictionsrenormalisationaccuracyaffected
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We illustrate how electron Parton Distribution Functions (PDFs) with next-to-leading collinear logarithmic accuracy must be employed in the context of perturbative predictions for high-energy $e^+e^-$-collision processes. In particular, we discuss how the renormalisation group equation evolution of such PDFs is affected by the presence of multiple fermion families and their respective mass thresholds, and by the dependences on the choices of the factorisation and renormalisation schemes. We study the impact of the uncertainties associated with the PDFs on physical cross sections, in order to arrive at realistic precision estimates for observables computed with collinear-factorisation formulae. We do so by presenting results for the production of a heavy neutral object as well as for $t\bar{t}$ and $W^+W^-$ pairs, including next-to-leading-order effects of electroweak origin.

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Cited by 5 Pith papers

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