Constraints on the odderon amplitude in the color glass condensate framework

In this manuscript, we analyze the elastic p p and p p ¯ cross section in the color glass condensate framework, treating them as a dilute-dense system, and derive the phenomenological constraints (upper bounds) on the odderon-mediated part of the dipole scattering amplitude O ( Y , r , b ) . For our analysis, we used the experimental data available from TOTEM-D0 and ISR Collaborations and constructed a combination of the cross sections which is directly proportional to the odderon-mediated part of the amplitude. This allows one to suppress possible uncertainties associated with charge-parity even part of the amplitude. We analyze two phenomenological parametrizations of odderons and demonstrate that, after minor adjustments to the global normalization, they can describe the experimental data reasonably well, although due to large experimental uncertainties the odderon amplitude remains loosely constrained.