Projected transverse momentum resummation in top-antitop pair production at LHC

A bstract The transverse momentum distribution of the $$ t\overline{t} t ¯ system is both experimental and theoretical interest. In presence azimuthally asymmetric divergences, pursuing resummation at high logarithmic precision rather demanding in general. this paper, we propose projected spectrum \textrm{d}{\sigma}_{t\overline{t}}/\textrm{d}{q}_{\tau } d σ / q τ , which derived from classical {\overrightarrow{q}}_{\textrm{T}} → T by integrating out rejection component {q}_{\tau_{\perp }} ⊥ with respect to a reference unit vector \overrightarrow{\tau} serve as an alternative solution remove these addition averaged case \textrm{d}{\sigma}_{t\overline{t}}/\textrm{d}\mid {\overrightarrow{q}}_{\textrm{T}}\mid ∣ . context effective field theories, SCET II HQET, will demonstrate that spite integrations, leading asymptotic terms still observe factorisation pattern hard, beam, soft functions vicinity q τ = 0 GeV. Then, help renormalisation group equation techniques, carry NLL+NLO, N 2 LL+N LO, approximate LL′+N LO accuracy on three observables interest, \textrm{d}{\sigma}_{t\overline{t}}/d{q}_{\textrm{T},\textrm{in}},\textrm{d}{\sigma}_{t\overline{t}}/\textrm{d}{q}_{\textrm{T},\textrm{out}} , in out \textrm{d}{\sigma}_{t\overline{t}}/d\Delta {\phi}_{t\overline{t}} Δ ϕ within domain {M}_{t\overline{t}} M ≥ 400 first two cases are obtained choosing parallel perpendicular top quark momentum, respectively. azimuthal de-correlation \Delta pair evaluated through its kinematical connection T This time appraised or beyond LL level including consistent treatment beam collinear radiation.