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Higher-order soft gluon corrections in single top quark production at the LHC

Nikolaos Kidonakis

TL;DR

This work advances precise predictions for single-top production at the LHC by computing soft-gluon threshold corrections up to NNNLO-NLL accuracy across the three production channels: $t$-channel, $s$-channel, and associated $tW$ production. The study shows a channel-dependent impact: soft-gluon corrections are not a good approximation for the $t$ channel, while they provide large, dominant corrections for the $s$ channel and $tW$ production, with resummed results matched to exact NLO where applicable. The results yield updated cross sections with quantified uncertainties, highlighting the importance of threshold effects for some channels and the relatively modest gains for others. These findings inform precision tests of the electroweak sector and CKM measurements at the LHC, and help constrain new physics scenarios that could affect single-top production rates.

Abstract

I present a calculation of soft-gluon corrections to single top quark production in pp collisions at the LHC via the Standard Model partonic processes in the t and s channels and associated top quark and W boson production. Higher-order soft-gluon corrections through next-to-next-to-next-to-leading order (NNNLO) are calculated at next-to-leading logarithmic (NLL) accuracy. The soft-gluon corrections in the s channel and in tW production are large and dominant, while in the t channel they are not a good approximation of the complete QCD corrections.

Higher-order soft gluon corrections in single top quark production at the LHC

TL;DR

This work advances precise predictions for single-top production at the LHC by computing soft-gluon threshold corrections up to NNNLO-NLL accuracy across the three production channels: -channel, -channel, and associated production. The study shows a channel-dependent impact: soft-gluon corrections are not a good approximation for the channel, while they provide large, dominant corrections for the channel and production, with resummed results matched to exact NLO where applicable. The results yield updated cross sections with quantified uncertainties, highlighting the importance of threshold effects for some channels and the relatively modest gains for others. These findings inform precision tests of the electroweak sector and CKM measurements at the LHC, and help constrain new physics scenarios that could affect single-top production rates.

Abstract

I present a calculation of soft-gluon corrections to single top quark production in pp collisions at the LHC via the Standard Model partonic processes in the t and s channels and associated top quark and W boson production. Higher-order soft-gluon corrections through next-to-next-to-next-to-leading order (NNNLO) are calculated at next-to-leading logarithmic (NLL) accuracy. The soft-gluon corrections in the s channel and in tW production are large and dominant, while in the t channel they are not a good approximation of the complete QCD corrections.

Paper Structure

This paper contains 5 sections, 4 figures, 3 tables.

Table of Contents

  1. Introduction
  2. Single top quark production via the $t$ channel at the LHC
  3. Single top quark production via the $s$ channel at the LHC
  4. Associated $tW$ production at the LHC
  5. Conclusion

Figures (4)

  • Figure 1: Leading-order $t$-channel (a), $s$-channel (b), and associated $tW$ production (c) diagrams for single top quark production.
  • Figure 2: Left: The cross section for single top production at the LHC in the $s$ channel. Here $\mu=\mu_F=\mu_R=m_t$. Right: the $K$ factors.
  • Figure 3: Left: The cross section for single antitop production at the LHC in the $s$ channel. Here $\mu=\mu_F=\mu_R=m_t$. Right: The $K$ factors.
  • Figure 4: Left: The cross section for associated $tW$ production at the LHC. Here $\mu=\mu_F=\mu_R=m_t$. Right: The $K$ factors.