Holographic Odderon at TOTEM ?

Abstract

We consider the contribution of the Odderon to diffractive $pp$ and $p\bar{p}$ elastic scattering at large center of mass energy. We identify the Odderon and Pomeron with the Reggeized $1^{\pm -}$ and $2^{++}$ glueballs in the bulk, respectively. We use for the gravity dual description the repulsive wall model, to account for the proper Gribov diffusion for off-forward scattering. The eikonalized and unitarized amplitudes exhibit a vanishingly small rho-parameter, and a slope parameter fixed by twice the closed string slope. The results for the differential and total cross sections are compared to the empirical results reported recently by the TOTEM collaboration.

Comments: 27 pages, 9 figures v2: Sign error in Sommerfeld-Watson transform corrected, typos corrected, paper restructured v3: typos corrected, funding reference updated