Toward precision jet event shapes for DIS in the framework of SCET

One of the classic ways of studying QCD events is to measure the Event Shape variables e.g., Thrust, Jet Broadening, Angularity etc. that are observables designed to characterize several properties including the geometric shape of hadron distribution in the event. In this talk, we will discuss a more general event shape angularity for DIS process, eP > dijet, in the framework of  Soft-Collinear Effective Theory (SCET) based on our recent work JHEP11(2021)026.

 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. Providing such a systematic way to access various observables makes angularity attractive in analysis with event shapes. We give the definition of angularity for DIS and factorize the cross-section by using the soft-collinear effective theory. The factorization is valid in a wide range of a below and above thrust region but invalid in broadening limit. It contains an angularity beam function, which is the new result, and we give the expression at O(αs). We also perform large log resummation of angularity and make predictions at various values of 'a' at next-to-next-to-leading log accuracy.