Next-to-next-to-leading order contributions to inclusive jet production in deep-inelastic scattering and determination of ${\alpha }_s$

We present the first calculation of inclusive jet production in deep-inelastic scattering with approximate next-to-next-to-leading order (aNNLO) contributions, obtained from a unified threshold resummation formalism. The leading coefficients are computed analytically. We show that the aNNLO contributions reduce the theoretical prediction for jet production in deep-inelastic scattering, improve the description of the final HERA data in particular at high photon virtuality $Q^2$ and increase the central fit value of the strong coupling constant.

Figure 1

Single-differential inclusive jet cross sections as a function of photon virtuality $Q^2$ (top) and jet transverse momentum $p_T$ (bottom) in NLO (green dashed lines) and aNNLO (blue full lines) with the corresponding scale uncertainty bands, obtained by varying ${\mu }_R$ and ${\mu }_F$ simultaneously by a factor of two up and down, compared to the final H1 data (red points, color online).

Figure 2

Same as Fig. 1 (top), but comparing approximate (blue full lines) and exact NLO (green dashed lines) results with the corresponding scale uncertainty bands with each other and the final H1 data (red points, color online).

Figure 3

Same as Fig. 1, but normalized to the central NLO predictions.