Analyticity as a Robust Constraint on the LHC Cross Section

Details Analyticity as a Robust Constraint on the LHC Cross Section Analyticity as a Robust Constraint on the LHC Cross Section

2005-10-18

arxiv.org/abs/hep-ph/0510238v2

Phys.Rev. D73 (2006) 054022

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, Latex2e, 2 postscript figures; major changes made; accepted for publication in Phys Rev D

Scientific paper

10.1103/PhysRevD.73.054022

It is well known that high energy data alone do not discriminate between asymptotic $\ln s$ and $\ln^2s$ behavior of $pp$ and $\bar pp$ cross sections. By exploiting high quality low energy data, analyticity resolves this ambiguity in favor of cross sections that grow asymptotically as $\ln^2s$. We here show that two methods for incorporating the low energy data into the high energy fits give numerically identical results and yield essentially identical tightly constrained values for the LHC cross section. The agreement can be understood as a new analyticity constraint derived as an extension of a Finite Energy Sum Rule.

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