I-jettiness with jet axis at O ( α s ) in deep inelastic scattering

bstract We present O ( α s ) analytic predictions for event shape 1-jettiness τ 1 distribution aiming measurements in deep inelastic scattering process at future Electron Ion Colliders. The result depends on conventional variables x and Q as well as on τ 1 and is relatively compact and easy to implement for numerical calculation. Three different choices of axis, with respect to which τ 1 is measured are considered in the Breit frame. The first is the one optimally adjusted to minimize τ 1 and the second and third are taken from anti- k T and Centauro jet algorithms defined with a jet radius parameter R , respectively. We find that the first and second give the same result at this order and are independent of R , while the third depends on the radius. This fixed-order result provides a nonsingular contribution to be combined with a singular log-resummed contribution to give the full spectrum in τ 1 space and also shows how fixed-order and resummation regions change as a function of x and Q .