# Momentum-space threshold resummation in $tW$ production at the LHC

## TL;DR

This paper performs all-order soft-gluon resummation for $tW$ production at the LHC, significantly improving cross section predictions and aligning well with experimental measurements.

## Contribution

It introduces a momentum-space threshold resummation method for $tW$ production, enhancing theoretical accuracy beyond NLO.

## Key findings

- NLO+NNLL results increase cross sections by 12-17%.
- Resummation improves agreement with LHC measurements.
- Provides predictions for 14 TeV LHC.

## Abstract

We calculate the soft-gluon corrections for $tW$ production to all orders. The soft limit is defined in the pair invariant mass or one particle inclusive kinematic schemes. We find that at NLO the contribution of the soft-gluon effect dominates in the total cross section or the differential distributions. After resumming the soft-gluon effect to all orders using the renormalization group equation, we find that the NLO+NNLL results increase the NLO cross sections by $12\%\sim 17\%$ depending on the scheme and the collider energy. Our results are in agreement with the measurements at the 8 and 13 TeV LHC. We also provide predictions for the total cross section at the 14 TeV LHC.