Polarised deep inelastic scattering accompanied by a forward jet as a probe of the $\ln^2(1/x)$ resummation

TL;DR

This paper proposes using forward jet production in polarized deep inelastic scattering to probe double logarithmic resummation effects at small x, providing theoretical predictions for future experimental tests.

Contribution

It introduces a method to study double ln^2(1/x) resummation effects via forward jet production in polarized DIS, with calculated structure functions for small x regimes.

Findings

Structure functions increase as x/x_J decreases.

Quantified the expected rise in structure functions at small x.

Potential for experimental verification at polarized HERA.

Abstract

We argue that the production of forward jets in polarised deep inelastic scattering can be a useful tool for probing the double $ln^2(1/x)$ resummation effects which control the polarised deep inelastic scattering for small values of the Bjorken parameter $x$. We solve the corresponding integral equations generating the double $ln^2(1/x)$ resummation and calculate the differential structure function describing the forward jet production in the small $x$ regime which can possibly be probed by the polarised HERA measurements. We show that these structure functions should exhibit the characteristic increase with decreasing $x/x_J$, where $x_J$ denotes the longitudinal momentum fraction of the parent proton carried by a jet, and we quantify this increase.