Soft anomalous dimensions for single-top production at three loops

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 $t{H}^{-}$ 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.

arXiv comment11 pages, 3 figures; v2 has some additions and changes

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• Higher-order corrections for $tW$ production at high-energy hadron colliders
• Resummation for $2\to n$ processes in single-particle-inclusive kinematics
• Momentum-space threshold resummation in $tW$ production at the LHC
• Soft-gluon corrections for the associated production of a single top quark and a Higgs boson
• Higher-order corrections in $t\bar{t}\gamma$ cross sections
• QCD corrections in $tq\gamma$ production at hadron colliders
• Four-loop massive cusp anomalous dimension in QCD: a calculation from asymptotics
• Soft anomalous dimensions and resummation in QCD
• One-loop squared amplitudes for hadronic $tW$ production at next-to-next-to-leading order in QCD
• Modeling of $t$-channel single top-quark production at the LHC
• Soft-gluon corrections for $tqZ$ production
• Analytic two-loop amplitudes for $tW$ production: leading color and light fermion-loop contributions
• $t{Z}^{\prime }$ production at hadron colliders
• SMEFT chromomagnetic dipole operator contributions to $t\bar{t}$ production at approximate NNLO in QCD
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• Differential distributions for Single Top Quark Production at the LHeC
• Soft-gluon corrections for single top quark production in association with electroweak bosons
• Top-quark mass determination from t-channel single top production at the LHC
• Resummation for $s$-channel single-top production
• Two-loop infrared singularities in the production of a Higgs boson associated with a top-quark pair
• Theoretical predictions for top-quark production processes
• Higher-order QCD and electroweak corrections for $t\bar{t}H$ production
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• Three-loop soft anomalous dimensions for top-quark processes
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• $tW$ and $t{Z}^{\prime }$ production at hadron colliders
• Three-loop soft anomalous dimensions in QCD