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Article
Report number	arXiv:1306.5210 ; CERN-PH-TH-2013-113 ; CERN-PH-TH-2013-113
Title	Froissart Bound on Total Cross-section without Unknown Constants
Author(s)	Martin, André (CERN) ; Roy, S.M. (Tata Inst.)
Publication	2014-02-25
Imprint	21 Jun 2013
Number of pages	7
Note	Comments: 6 pages 6 pages
In:	Phys. Rev. D 89 (2014) 045015
DOI	10.1103/PhysRevD.89.045015
Subject category	Particle Physics - Phenomenology
Abstract	We determine the scale of the logarithm in the Froissart bound on total cross-sections using absolute bounds on the D-wave below threshold for $\pi\pi$ scattering. E.g. for $\pi^0 \pi^0$ scattering we show that for c.m. energy $\sqrt{s}\rightarrow \infty $, $\bar{\sigma}_{tot}(s,\infty)\equiv s\int_{s} ^{\infty} ds'\sigma_{tot}(s')/s'^2 \leq \pi (m_{\pi})^{-2} [\ln (s/s_0)+(1/2)\ln \ln (s/s_0) +1]^2$ where $m_\pi^2/s_0= 17\pi \sqrt{\pi/2} $ .
Copyright/License	Preprint: © 2013-2025 CERN (License: CC-BY-3.0)

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