Off-diagonal distributions fixed by diagonal partons at small $x$ and $\xi$

TL;DR

This paper demonstrates that at small $x$ and $\xi$, off-diagonal parton distributions are fully determined by diagonal partons, providing predictions for their estimation across scales.

Contribution

It introduces a method to derive off-diagonal distributions from diagonal partons at small $x$ and $\xi$, simplifying their determination.

Findings

Off-diagonal distributions are fixed by diagonal partons at small $x$ and $\xi$.

Provides predictive formulas for off-diagonal distributions at various scales.

Facilitates easier estimation of skewed parton distributions in high-energy processes.

Abstract

We show that the off-diagonal (or skewed) parton distributions are completely determined at small $x$ and $\xi$ by the (conventional) diagonal partons. We present predictions which can be used to estimate the off-diagonal distributions at small $x$ and $\xi$ at any scale.