UHE neutrinos: higher twists, scales, saturation

TL;DR

This paper investigates how higher twist effects, due to non-conservation of the top-bottom current, significantly alter the longitudinal structure function and cross-section in ultra-high energy neutrino interactions, providing simplified formulas.

Contribution

It introduces new formulas for $F_L$ and $ u N$ cross-sections accounting for higher twist corrections at ultra-high energies.

Findings

Higher twist corrections dramatically change $F_L$ at ultra-high energies.

Derived simple, accurate formulas for $F_L$ and $ u N$ cross-sections.

Highlights the importance of non-conservation effects in neutrino interactions.

Abstract

It is shown that in the ultra-high energy neutrino interactions the higher twist corrections brought about by the non-conservation of the top-bottom current dramatically change the longitudinal structure function, $F_L$. To the Double Leading Log Approximation simple and numerically accurate formulas for $F_L$ and $\sigma^{\nu N}$ are derived.