Abstract
We study the effect of multiple soft gluon radiation on the kinematical distributions of the $t$-channel single top quark production at the LHC. By applying the transverse momentum dependent factorization formalism, large logarithms (of the ratio of large invariant mass $Q$ and 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, including the complete next-to-leading order corrections. We show that the main difference from PYTHIA prediction lies on the inclusion of the exact color coherence effect between the initial and final states in our resummation calculation, which becomes more important when the final state jet is required to be in the forward region. We further propose a new experimental observable $\phi^*$ to test the effect of multiple gluon radiation in the single-top events. The effect of bottom quark mass is also discussed.
Highlights
The top quark is the heaviest particle of the standard model (SM) of elementary particle physics, with its mass around the electroweak symmetry breaking scale
It is believed that studying its detailed interactions could shed light on possible new physics beyond the SM
We focus on improving the prediction on the kinematical distributions of t-channel single top events, by applying the transverse momentum resummation formalism to sum over large logarithms lnðQ2=q2⊥Þ, with Q ≫ q⊥, to all orders in the expansion of the strong interaction coupling at the NLO-NLL accuracy, where Q
Summary
The top quark is the heaviest particle of the standard model (SM) of elementary particle physics, with its mass around the electroweak symmetry breaking scale. It can be produced singly via charged-current electroweak interaction, involving a Wtb coupling [1,2,3,4], which offers a promising way to precisely study the Wtb coupling and the Vtb Cabibbo-Kobayashi-Maskawa (CKM) matrix element. The single top quark production and decay in hadron collision at the next-toleading-order (NLO) and next-to-next-to-leading-order (NNLO) accuracy in QCD correction have been discussed widely. To go beyond the fixed-order calculations, the threshold resummation technique has been applied to improve the prediction on the single-top inclusive production rate at the next-to-leading-logarithm (NLL) and next-to-next-toleading-logarithm (NNLL) accuracy [6,7,8,9,10,11]. The threshold resummation technique has been used to improved the prediction on the transverse momentum distribution of the top quark by summing over large logarithms lnðm2t =s4Þ with s4 → 0, where s4 1⁄4 sþ ˆt þ u − m2t , s, ˆt and uare the usual Mandelstam variables [6,7,8,9,10,11]
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