Abstract
We present an analytic \( \mathcal{O}\left({\alpha}_s\right) \) 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 τ. Combined with previous results for log resummation, predictions are obtained over the entire range of the 1-jettiness distribution.
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Kang, D., Lee, C. & Stewart, I.W. Analytic calculation of 1-jettiness in DIS at \( \mathcal{O}\left({\alpha}_s\right) \) . J. High Energ. Phys. 2014, 132 (2014). https://doi.org/10.1007/JHEP11(2014)132
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DOI: https://doi.org/10.1007/JHEP11(2014)132