Abstract
We show how to obtain the leading energy dependence of hadronic total cross sections, in the framework of the nonperturbative approach to soft high-energy scattering based on Wilson-loop correlation functions, if certain nontrivial analyticity assumptions are satisfied. The total cross sections turn out to be of “Froissart” type, \( \sigma_{\mathrm{tot}}^{{\left( {hh} \right)}} \) (s) ~ B log2 s for s → ∞. We also discuss under which conditions the coefficient B is universal, i.e., independent of the hadrons involved in the scattering process. In the most natural scenarios for universality, B can be related to the stable spectrum of QCD, and is predicted to be B th ≃ 0.22 mb, in fair agreement with experimental results. If we consider, instead, the stable spectrum of the quenched (i.e., pure-gauge) theory, we obtain a quite larger value \( B_{\mathrm{th}}^{(Q) } \) ≥ 0.42 mb, suggesting (quite surprisingly) large unquenching effects due to the sea quarks.
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Giordano, M., Meggiolaro, E. Hadronic total cross sections at high energy and the QCD spectrum. J. High Energ. Phys. 2014, 2 (2014). https://doi.org/10.1007/JHEP03(2014)002
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DOI: https://doi.org/10.1007/JHEP03(2014)002