Analytic Calculation of 1-Jettiness in DIS at $\mathcal O(\alpha_s)$

TL;DR

This paper provides the first fully analytic $ ext{O}(oldsymbol{ extalpha_s})$ calculation of 1-jettiness in deep inelastic scattering, enabling precise predictions across the entire distribution range.

Contribution

It introduces the first analytic $ ext{O}(oldsymbol{ extalpha_s})$ calculation of DIS event shape cross sections dependent on 1-jettiness.

Findings

Analytic expressions for differential and cumulative 1-jettiness cross sections.

Dependence of structure functions on $x$, $Q^2$, and $ au$.

Predictions valid over the full 1-jettiness range.

Abstract

We present an analytic $\mathcal O(\alpha_s)$ calculation of cross sections in deep inelastic scattering (DIS) dependent on an event shape, 1-jettiness, that probes final states with one jet plus initial state radiation. This is the first entirely analytic calculation for a DIS event shape cross section at this order. We present results for the differential and cumulative 1-jettiness cross sections, and express both in terms of structure functions dependent not only on the usual DIS variables $x$, $Q^2$ but also on the 1-jettiness $\tau$. Combined with previous results for log resummation, predictions are obtained over the entire range of the 1-jettiness distribution.