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High-Energy Proton-Proton Forward Scattering and Derivative Analyticity Relations

R. F. Avila·E. G. S. Luna·M. J. Menon
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Abstract

We present the results of several parametrizations to two different ensemble of data on $pp$ total cross sections $σ_{tot}^{pp}$ at the highest center-of-mass energies (including cosmic-ray information). The results are statistically consistent with two distinct scenarios at high energies. From one ensemble the prediction for the LHC ($\sqrt s = 14$ TeV) is $σ_{tot}^{pp} = 113 \pm 5$ mb and from the other, $σ_{tot}^{pp}=140 \pm 7$ mb. From each parametrization, and making use of derivative analyticity relations (DAR), we determine $ρ(s)$ (ratio between the forward real and imaginary parts of the elastic scattering amplitude). A discussion on the optimization of the DAR in terms of a free parameter is also presented.In all cases good descriptions of the experimental data are obtained.

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R. F. Avila, E. G. S. Luna, M. J. Menon. 2001-10-02. High-Energy Proton-Proton Forward Scattering and Derivative Analyticity Relations. https://arxiv.org/abs/hep-ph/0105065

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