2005/10/31 by M. M. Block, F. Halzen
Mathematics · Physics and Astronomy · #Ambiguity #Collider #Computer science #Constraint (computer-aided design) #Cross section (physics) #Energy (signal processing) #Extension (predicate logic) #Geometry #Hadron #High-Energy Particle Collisions Research #Large Hadron Collider #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Yield (engineering) #hep-ph
paper · pdf · doi:10.1103/physrevd.73.054022
published as Phys.Rev. D73 (2006) 054022 · 8 pages, Latex2e, 2 postscript figures; major changes made; accepted for publication in Phys Rev D
arxiv created 2006/03/16 · openalex publication_date 2006/03/28 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
It is well known that high energy data alone do not discriminate between asymptotic lns and ln2s behavior of pp and pp cross sections. By exploiting high quality low energy data, analyticity resolves this ambiguity in favor of cross sections that grow asymptotically as ln2s. 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.