Top-quark double-differential distributions at approximate <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">N</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup><mml:mi>LO</mml:mi></mml:mrow></mml:math>

Abstract

I present results for top-quark double-differential distributions in transverse momentum and rapidity. Second- and third-order soft-gluon corrections derived from next-to-next-to-leading-logarithm resummation are added to the complete next-to-leading-order result, and the combination is denoted as approximate ${\mathrm{N}}^{3}\mathrm{LO}$. The corrections are large and they reduce theoretical uncertainties. The theoretical results are in good agreement with recent data from the LHC.

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