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.
Highlights
Calculations of higher-order corrections to scattering cross sections are central to the exploration of particle physics at hadron colliders
The understanding of the structure of these cross sections can be deepened by the study of renormalization-group properties of the functions that describe the emission of quanta in the partonic processes
The study of soft-gluon corrections is important and relevant for top-quark production, which is a central topic in collider physics
Summary
Calculations of higher-order corrections to scattering cross sections are central to the exploration of particle physics at hadron colliders. Soft and collinear gluon corrections can be resummed to all orders in perturbation theory Such considerations start with the factorization properties of the cross section. [3,4], while noncollinear soft radiation depends on the color structure of the particular process and is resummed via exponentials of ΓS [2] Apart from their intrinsic theoretical value, the softgluon corrections have turned out to be extremely important for many processes in hadron colliders, in particular the Tevatron and the LHC. Approximate NNLO and approximate N3LO calculations that include soft-gluon corrections provide solid predictions for all top-quark production processes that have been studied. We present results for s-channel single-top production and for t-channel single-top production These are the first threeloop calculations of soft anomalous dimensions for processes with one massive quark
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