The NNLO QCD analysis of the CCFR data for xF_3: is there still the room for the twist-4 terms?

TL;DR

This paper presents a detailed NNLO QCD analysis of CCFR data for the structure function xF_3, examining the persistence of twist-4 contributions and analyzing scale uncertainties, leading to refined measurements of alpha_s and twist-4 effects.

Contribution

It provides the first NNLO QCD analysis of CCFR xF_3 data including twist-4 terms and assesses their significance at this order, using Padé resummation for N$^3$LO uncertainties.

Findings

Twist-4 contributions are still present at NNLO.

NNLO analysis refines alpha_s(M_Z) measurement.

Scale uncertainties are thoroughly analyzed.

Abstract

The results of the more detailed NNLO QCD analysis of the CCFR data for $xF_3$ SF are presented. The factorization scale uncertainties are analysed. The NNLO results for $alpha_s(M_Z)$ and twist-4 contributions are obtained. Despite the fact that the amplitude of the $x$-shape of the twist-4 factor is consequently decreasing at the NLO and NNLO, our new QCD analysis seems to reveal the remaining twist-4 structure at the NNLO level. The definite N$^3$LO uncertainties are fixed using the [0/2] Pad\'e resummation technique.