Multi-jet cross sections in deep inelastic scattering at next-to-leading order

TL;DR

The perturbative prediction for three-jet production cross section in deep inelastic scattering at the next-to-leading order accuracy is presented and the dependence on the renormalization and factorization scales of exclusive three- jet cross section is studied.

Abstract

We present the perturbative prediction for three-jet production cross section in DIS at the NLO accuracy. We study the dependence on the renormalization and factorization scales of exclusive three-jet cross section. The perturbative prediction for the three-jet differential distribution as a function of the momentum transfer is compared to the corresponding data obtained by the H1 collaboration at HERA.

Figures (3)

• Figure 1: The perturbative prediction for the three-jet cross section $\sigma_{\rm 3jet}(f_{\rm cut})$ as a function of $f_{\rm cut}$. The solid lines were obtained using the CTEQ5 parton distribution function s and the dashed lines with the MRST99 set.
• Figure 2: The dependence of the three-jet cross section $\sigma_{\rm 3jet}$ at the fixed value of $f_{\rm cut} = 0.2$ on the renormalization and factorization scales.
• Figure 3: The differential three-jet cross section for the $5 < Q^2 < 5000\,{\rm GeV}^2$ region compared to experimental data measured by the H1 collaboration. The LO prediction (dashed line) was obtained with the CTEQ5L parton distribution function s and the NLO prediction (solid line) was obtained with the CTEQ5M1 parton distribution function s.