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Resummation for $s$-channel single-top production

Nikolaos Kidonakis

Abstract

I present higher-order results for $s$-channel single-top-quark production that are derived from soft-gluon resummation. I show that the soft-gluon corrections provide the dominant contribution to the QCD corrections, and that they approximate very well the exact results through NNLO. Furthermore, approximate N$^3$LO corrections are computed by using the expansion of the resummed cross section to third order in the strong coupling. The calculation treats the final-state $b$-quarks as massless but I also show how to extend the formalism to the case of massive $b$-quarks. The higher-order corrections are large at LHC energies and they improve the theoretical accuracy.

Resummation for $s$-channel single-top production

Abstract

I present higher-order results for -channel single-top-quark production that are derived from soft-gluon resummation. I show that the soft-gluon corrections provide the dominant contribution to the QCD corrections, and that they approximate very well the exact results through NNLO. Furthermore, approximate NLO corrections are computed by using the expansion of the resummed cross section to third order in the strong coupling. The calculation treats the final-state -quarks as massless but I also show how to extend the formalism to the case of massive -quarks. The higher-order corrections are large at LHC energies and they improve the theoretical accuracy.

Paper Structure

This paper contains 6 sections, 10 equations, 1 figure, 3 tables.

Table of Contents

  1. Introduction
  2. Resummation for $s$-channel single-top processes
  3. Soft anomalous dimension for massless final-state $b$-quarks
  4. Soft anomalous dimension for massive final-state $b$-quarks
  5. Cross sections at LHC energies
  6. Conclusions

Figures (1)

  • Figure 1: The total cross sections for $s$-channel single-top plus single-antitop production in $pp$ collisions at LHC energies at LO, NLO, NNLO, and aN$^3$LO. Also shown for comparison are LHC data at 8 TeV ATLASCMS and 13 TeV ATLAS13 energies. The inset plot displays the $K$-factors of the higher-order cross sections relative to LO.