QCD Odderon: non linear evolution in the leading twist

Abstract

In the paper we propose and solve analytically the non-linear evolution equation in the leading twist approximation for the Odderon contribution. We found three qualitative features of this solution, which differs the Odderon contribution from the Pomeron one :(i) the behaviour in the vicinity of the saturation scale cannot be derived from the linear evolution in a dramatic difference with the Pomeron case; (ii) a substantial decrease of the Odderon contribution with the energy; and (iii) the lack of geometric scaling behaviour. The two last features have been seen in numerical attempts to solve the Odderon equation.

11pp,7 figures in pdf files

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Cited by in corpus (10)

• Quark Sivers Function at Small $x$: Spin-Dependent Odderon and the Sub-Eikonal Evolution
• Evidence of Odderon-exchange from scaling properties of elastic scattering at TeV energies
• T-odd Leading-Twist Quark TMDs at Small $x$
• Exclusive ${\eta }_c$ production from small-$x$ evolved Odderon at a electron-ion collider
• Small-x Evolution of the Gluon Generalized Parton Distribution Eg of the Nucleon
• Photon-Odderon interference in exclusive ${\chi }_c$ charmonium production at the Electron-Ion Collider
• Nonperturbative gluon exchange in $pp$ elastic scattering at TeV energies
• Single spin asymmetry in forward $pA$ collisions from Pomeron-Odderon interference
• Model-independent Odderon results based on new TOTEM data on elastic pp collisions at 8 TeV
• Soft Pomeron in light of the LHC correlated data