Study of HERA $ep$ Data at Low $Q^2$ and Low $x_{Bj}$ and the Need for Higher-Twist Corrections to Standard pQCD Evolution

Abt, I.; Wing, Matthew; Foster, B.; Wichmann, K.; Myronenko, V.; Cooper-Sarkar, A. M.

Preprint/Internal Report

PUBDB-2016-01811

Study of HERA $ep$ Data at Low $Q^2$ and Low $x_{Bj}$ and the Need for Higher-Twist Corrections to Standard pQCD Evolution

Abt, I. ; Cooper-Sarkar, A. M. ; Foster, B.>Extern* ; Myronenko, V.DESY* ; Wichmann, K.DESY* ; Wing, M. (Corresponding author)>Extern*

2016

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Report No.: DESY-16-064; arXiv:1604.02299

Abstract: A detailed comparison of HERA data at low Bjorken-$x$ and low four-momentum-transfer squared, $Q^2$, with predictions based on $\ln{Q^2}$ evolution (DGLAP) in perturbative Quantum Chromo Dynamics suggests inadequacies of this framework. The standard DGLAP evolution was augmented by including an additional higher-twist term in the description of the longitudinal structure function, $F_{\rm L}$. This additional term, $F_{\rm L}~A_{\rm L}^{\rm HT}/Q^2$, improves the description of the reduced cross sections significantly. The resulting predictions for $F_{\rm L}$ suggest that further corrections are required for $Q^2$ less than about 2 GeV$^2$.

Keyword(s): correction: higher-twist ; structure function: longitudinal ; quantum chromodynamics: perturbation theory ; DGLAP equation ; DESY HERA Stor