Non-factorisable contributions to $t$-channel single-top production at the LHC and FCC

TL;DR

This paper investigates non-factorisable NNLO contributions to t-channel single top production at the LHC and FCC, highlighting their significance for precise theoretical predictions and comparing results across different collider energies.

Contribution

It presents the first detailed analysis of non-factorisable NNLO corrections for t-channel single top production and compares LHC and FCC energy results.

Findings

Non-factorisable NNLO contributions are significant for accurate predictions.

Results at 13 TeV LHC energy are compared with projections at 100 TeV FCC.

The study enhances understanding of top production mechanisms and QCD corrections.

Abstract

Single top quark is mainly produced through the $t$-channel W boson exchange $q + b \rightarrow q' + t$ at LHC. This process probes Wtb vertex directly and can be used to measure the CKM matrix element $V_{tb}$ or to constrain the bottom quark PDF. The non-factorisable contributions are the last missing piece of the NNLO corrections. In these proceedings, we discuss in a first part the ostensible importance of such corrections and the obtention of the different relevant amplitudes. In the second part, recently published results at the energy of the LHC are compared to new results for proton-proton collision at $100 \: {\rm TeV}$, the energy of the FCC.