Small x resummation and the Odderon

TL;DR

This paper argues that the Odderon intercept remains equal to one at all orders in perturbation theory, based on the omega-expansion and sum rule considerations, with implications for high-energy QCD.

Contribution

It provides a theoretical argument that the Odderon intercept is exactly one at all perturbative orders, supported by sum rule analogies and kinematic effect analysis.

Findings

Odderon intercept equals one to all orders in perturbation theory.

Omega-expansion validity underpins the intercept argument.

Higher order kinematic effects do not alter the Odderon intercept.

Abstract

We present a general argument which suggests that the Bartels-Lipatov-Vacca Odderon intercept should be equal to one to all orders in the perturbation theory. The argument is based on the validity of the so called omega-expansion in the high energy limit. It can be further supported by the analogous pattern observed in the case of the anomalous dimensions which is a consequence of the momentum sum rule. In addition, we conjecture that the BFKL kernel should satisfy the transverse momentum sum rule. Finally, it is shown that the higher order kinematical effects do not change the BLV Odderon intercept.