Resummation of recoil-sensitive jet angularities at next-to-leading-logarithmic accuracy
by
B127
ENC
Angularities are a one parameter family of global e+e- observables whose sensitivity to the splitting angle of a collinear emission in a jet is controlled by a continuous parameter ‘a’ with a<2 for infrared and collinear safety. Smaller values of ‘a’ ( with a < 0.5 ) largely probe collimated structure in a jet while as ‘a’ goes to 1, the observable gains sensitivity to wide-angle soft radiations. As a result, the recoil of the collinear parton due to the soft emissions becomes an O(1) effect and cannot be ignored. In the literature, two different effective theory frameworks have mostly been utilized to describe the structure of angularities with a<0.5 and when a=1. In this talk, I will discuss a simple construction that relies on a multi-differential approach and allows for the understanding of all angularity exponents, including the recoil-sensitive angularity exponents (i.e., as ‘a’ approaches 1). Crucially, our construction provides the first field theoretic understanding of recoil-sensitive angularities at the next-to-leading-logarithmic accuracy.