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 ${\tau }_1$ and ${\tau }_{1a}$ 1-Jettiness global event shapes for deep inelastic scattering (DIS). The leading hadronization effects in ${\tau }_1$ acquire a non-trivial dependence on the hard scattering kinematics. This kinematic dependence is explicitly calculable, so that the leading hadronization effects in ${\tau }_1$, ${\tau }_{1a}$, and DIS thrust are universal and described by the same underlying shape function. The additional calculable kinematic dependence in ${\tau }_1$ provides an independent lever arm for simultaneously constraining hadronization effects in these observables. We present corresponding results at the N${}^3$LL+$\mathcal{O}({\alpha }_s^2)$ 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 $\mathcal{O}({\alpha }_s)$ QCD corrections to obtain N${}^2$LL+$\mathcal{O}({\alpha }_s)$ 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.

Comments: 40 pages, 14 figures