Angularity in DIS at next-to-next-to-leading log accuracy

Angularity is a class of event-shape observables that can be measured in deep-inelastic scattering. With its continuous parameter a one can interpolate angularity between thrust and broadening and further access beyond the region. Providing such 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 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 new result and we give the expression at O(alpha(s)). We also perform large log resummation of angularity and make predictions at various values of a at next-to-next-to-leading log accuracy.

Automated summary

Angularity is an event-shape observable that can be measured in deep-inelastic scattering, allowing interpolation between thrust and broadening with its continuous parameter a. Factorizing the cross section using soft-collinear effective theory is valid in a wide range below and above the thrust region but not in the broadening limit. Resummation of large logs for angularity allows predictions at various values of a at next-to-next-to-leading log accuracy.