MULTIPLE SOLUTIONS IN EXTRACTING PHYSICS INFORMATION FROM EXPERIMENTAL DATA

2009/11/25 by C. Z. Yuan, C. Z. YUAN, X. H. Mo +3 · 2 citations
Physics and Astronomy · #Amplitude #Experimental and Theoretical Physics Studies #Experimental data #Physics beyond the Standard Model #Quantum and Classical Electrodynamics #Relativity and Gravitational Theory #Simple (philosophy) #hep-ph

paper · pdf · doi:10.1142/s0217751x10051153

published as Int.J.Mod.Phys.A25:5963-5972,2010 · 10 pages, 3 figures

arxiv created 2009/11/25 · openalex publication_date 2010/12/29 · arxiv updated 2011/01/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Multiple solutions exist in many experimental situations where several interfering amplitudes are summed to fit experimentally measured distributions, such as cross sections, mass spectra, and/or angular distributions. We show a few examples where multiple solutions are found, but only one solution is reported in publications. Since there is no standard rule for choosing one among the solutions as the physics one, we propose a simple rule that agrees with what has been adopted in previous literature: the solution corresponding to the minimal magnitudes of the amplitudes must be the physical solution. We suggest testing this rule in future analyses.

Citations

• Review of Particle Physics
• Models of isospin breaking in the pion form factor: Consequences for the determination ofΠρω(mρ2)and(g−2)μ/2
• Combined fit toBABARand Belle data one+e−→π+π−ψ(2S)
• Decay Correlations of Heavy Leptons ine++e−→l++l−
• Review of Particle Physics

Cited by

• Selecting the physical solution via η-η' mixing
• A MATHEMATICAL REVIEW ON THE MULTIPLE-SOLUTION PROBLEM