Precision Jet Event Shapes for DIS in Soft-Collinear Effective Theory

One of the classic ways of studying QCD events in high-energy experiments is to measure the Event Shape variables, e.g., Thrust, Jet Broadening, Angularity, etc. are observables designed to characterize several properties including the geometric shape of hadron distribution in the event. We present a more general global event shape “angularity” for deep inelastic scattering process (DIS), \( e P \tau \rightarrow dijet\) , in the framework of Soft-Collinear Effective Theory (SCET) and give precision prediction to the DIS angularity cross-section for future Electron-Ion-Collider (EIC) at next-to-next-to-leading log (NNLL) accuracy. Angularity is a class of event-shape observables that can be measured in deep-inelastic scattering (EIC at BNL). With its continuous parameter ‘a’ one can interpolate angularity between thrust and broadening and further access beyond the region. We focus on regions where the longitudinal momentum fraction x is small and the angularity parameter a is negative. We also present the numerical results for the angularity beam function at next-to-next-to-leading log accuracy.