Determination of the high-twist contribution to the structure function $xF^{\nu N}_3$

TL;DR

This paper analyzes neutrino-nucleon scattering data to quantify high-twist effects in the structure function $xF_3$, using the infrared renormalon model within NLO QCD fits, providing estimates of the model's normalization parameter.

Contribution

It introduces a method to extract high-twist contributions from neutrino scattering data using the IRR model, with new estimates of the model's normalization parameter from experimental data.

Findings

Estimated the IRR model normalization parameter $\\Lambda^2_{3}$ from neutrino data.

Obtained consistent values of $\Lambda^2_{3}$ from different datasets.

Provided an average value of $\Lambda^2_{3}$ with uncertainties.

Abstract

We extract the high-twist contribution to the neutrino-nucleon structure function $xF_3^{(\nu+\bar{\nu})N}$ from the analysis of the data collected by the IHEP-JINR Neutrino Detector in the runs with the focused neutrino beams at the IHEP 70 GeV proton synchrotron. The analysis is performed within the infrared renormalon (IRR) model of high twists in order to extract the normalization parameter of the model. From the NLO QCD fit to our data we obtained the value of the IRR model normalization parameter $\Lambda^2_{3}=0.69\pm0.37~({\rm exp})\pm0.16~({\rm theor})~{\rm GeV}^2$. We also obtained $\Lambda^2_{3}=0.36\pm0.22~({\rm exp})\pm0.12~({\rm theor})~{\rm GeV}^2$ from a similar fit to the CCFR data. The average of both results is $\Lambda^2_{3}=0.44\pm0.19~({\rm exp})~{\rm GeV}^2$.