Speaker
Description
We present prediction for the DIS 1-jettiness event shape $\tau_1^b$ with next-to-next-to-next-to-leading-logarithmic (N$^3$LL) resummation. Our results include O($\alpha_s^2$) full QCD matched ingredients from a Monte Carlo generator, NLOJET++, and a rigorous treatment of hadronization corrections (power corrections) supplemented with the $R$-gap scheme to make the perturbative distributions free of $O(\Lambda_\textrm{QCD})$ renormalon ambiguities. We design profile scales so that our formulation works over a wide range of kinematic points $x$ and $Q$ which could cover the existing DIS experiment results at HERA as well as the new measurements from the upcoming Electron-Ion-Collider (EIC). Our predictions will serve as an important benchmark in the EIC experimental program and allow the precise determination of the QCD strong coupling and the universal nonperturbative parameter $\Omega_1$.