Transverse Momentum Resummation for $s$-channel single top quark production at the LHC

Understand

We study the soft gluon radiation effects for the $s$-channel single top quark production at the LHC.

• By applying the transverse momentum dependent factorization formalism, the large logarithms about the small total transverse momentum ($q_\perp$) of the single-top plus one-jet final state system, are resummed to all orders in the expansion of the strong interaction coupling at the accuracy of Next-to-Leading Logarithm (NLL).
• We compare our numerical results with PYTHIA and find that both the $q_\perp$ and $\phi^*$ observables from PYTHIA are consistent with our prediction.
• Furthermore, we point out the soft gluon radiation effects from the final state become significant in this process, especially for the boosted kinematical region.