Hadronization effects and electroweak contributions in DIS one-jettiness

Abstract

We study the structure of leading hadronization effects and the contributions of massive electroweak gauge boson exchange in the $τ_1$ and $τ_{1a}$ 1-Jettiness global event shapes for deep inelastic scattering (DIS). The leading hadronization effects in $τ_1$ acquire a non-trivial dependence on the hard scattering kinematics. This kinematic dependence is explicitly calculable, so that the leading hadronization effects in $τ_1$, $τ_{1a}$, and DIS thrust are universal and described by the same underlying shape function. The additional calculable kinematic dependence in $τ_1$ provides an independent lever arm for simultaneously constraining hadronization effects in these observables. We present corresponding results at the N$^3$LL+${\cal O}(α_s^2)$ level of accuracy. We extend previous results by including the contributions mediated by the exchange of the massive $Z$ and $W$ electroweak gauge bosons for neutral current (NC) and charged current (CC) DIS, respectively, including ${\cal O}(α_s)$ QCD corrections to obtain N$^2$LL+${\cal O}(α_s)$ results. We compare theoretical predictions to Pythia simulation and demonstrate the universality of leading hadronization effects across NC and CC DIS processes and a wide range of kinematics relevant to HERA and the EIC.