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Soft anomalous dimensions for single-top production at three loops

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arxiv 1901.09928 v2 pith:4NQBKTS3 submitted 2019-01-28 hep-ph

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

I present results for soft anomalous dimensions in single top-quark production processes through three loops. I first discuss the cusp anomalous dimension with one massive and one massless line at three loops. I then calculate the three-loop soft anomalous dimension for $tW$ production and for related processes with new physics such as $tZ$, $t\gamma$, and $tH^-$ production. This is followed by results at two and three loops for the soft anomalous dimension matrix in $s$-channel single-top production and, finally, in $t$-channel single-top production. These new results are needed for soft-gluon resummation at N$^3$LL accuracy and for calculations of soft-gluon corrections at N$^3$LO.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Approximate N$^2$LO and N$^3$LO QCD Predictions for $tW$ Production

    hep-ph 2025-12 conditional novelty 6.0 of 10

    Higher-order QCD corrections to top-plus-W production raise the predicted rate by over 10% and give |Vtb|=0.99±0.03.

  2. Constraining dimension-6 SMEFT with higher-order predictions for $p p \to t W$

    hep-ph 2026-01 unverdicted novelty 4.0 of 10

    Higher-order QCD predictions for pp to tW enable three-parameter SMEFT fits that constrain effective new-physics scales to 0.5–2 TeV using LHC Run II and III data.

  3. Soft-gluon corrections for single top quark production in association with electroweak bosons

    hep-ph 2019-09 conditional novelty 3.0 of 10

    Soft-gluon resummation results for single top plus Z/photon production via anomalous FCNC couplings, showing large approximate NNLO K-factors, are presented for LHC energies.

  4. Three-loop soft anomalous dimensions for top-quark production

    hep-ph 2019-08 conditional novelty 2.0 of 10

    Most three-loop formulas quoted here were already published by the same author; the top-pair three-loop results are explicitly incomplete.

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