Most three-loop formulas quoted here were already published by the same author; the top-pair three-loop results are explicitly incomplete.
Charged Higgs production in association with a top quark at approximate NNLO
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abstract
I present approximate next-to-next-to-leading-order (aNNLO) total and differential cross sections for charged Higgs production in association with a top quark at LHC energies. The aNNLO results for the process $bg \rightarrow tH^-$ are derived from next-to-next-to-leading-logarithm (NNLL) resummation of soft-gluon corrections. Scale and parton-distribution uncertainties for the cross sections are shown. The top-quark transverse-momentum and rapidity distributions are also calculated.
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Three-loop soft anomalous dimensions for top-quark production
Most three-loop formulas quoted here were already published by the same author; the top-pair three-loop results are explicitly incomplete.