2011/08/31 by K. Zhu, K. ZHU, X. H. Mo +5
Physics and Astronomy · #Consistency (knowledge bases) #Exact solutions in general relativity #Experimental data #High-Energy Particle Collisions Research #Interpretation (philosophy) #Particle physics theoretical and experimental studies #Process (computing) #Statistical Mechanics and Entropy #hep-ex #physics.data-an
paper · pdf · doi:10.1142/s0217751x11054589
10 pages, no figure; IJMPA's Volume No.26, Issue No. 25, Year 2011
openalex publication_date 2011/09/16 · arxiv created 2011/10/13 · arxiv updated 2011/10/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The recent multiple-solution problem in extracting physics information from a fit to the experimental data in high energy physics is reviewed from a mathematical viewpoint. All these multiple solutions were previously found via a fit process, while in this paper we prove that if the sum of two coherent Breit–Wigner functions is used to fit the measured distribution, there should be two and only two nontrivial solutions, and they are related to each other by analytical formulae. For real experimental measurements in more complicated situations, we also provide a numerical method to derive the other solution from the already obtained one. The excellent consistency between the exact solution obtained this way and the fit process justifies the method. From our results it is clear that the physics interpretation should be very different depending on which solution is selected. So we suggest that all the experimental measurements with potential multiple solutions be re-analyzed to find the other solution because the result is not complete if only one solution is reported.