# Pomeron Odderon interference in production of two pi+ pi- pairs at LHC and ILC

## TL;DR

This paper explores detecting the perturbative Odderon through two pion pair production in photon collisions at high energies, proposing methods for observation at LHC and ILC, with a focus on charge asymmetries and generalized distribution amplitudes.

## Contribution

It introduces a novel approach to identify the Odderon via charge asymmetries in pion pair production, utilizing kT-factorization and generalized distribution amplitudes.

## Key findings

- Charge asymmetries can signal Odderon presence.
- Ultraperipheral LHC collisions face background challenges.
- ILC offers a cleaner environment for this physics.

## Abstract

We propose to look for the Odderon through the production of two pion pairs in photon collisions at high energies. We calculate the corresponding matrix elements in kT-factorization and discuss the possibility to reveal the existence of the perturbative Odderon by charge asymmetries, relying on models for the generalized distribution amplitudes of pi+ pi-. The application of this strategy to ultraperipheral collisions at the LHC suffers from the difficulty to trigger on interesting events and is plagued with severe background problems in p-p mode. Electron - positron colliders like ILC seem to better suit this physics.