Publications
Publication Information
| Title | Robust extraction of proton charge radius from electron-proton scattering data |
| Authors | Xuefei Yan, Douglas Higinbotham, Dipangkar Dutta, Haiyan Gao, Ashot Gasparian, Mahbub Khandaker, Nilanga Liyanage, Eugene Pasyuk, Chao Peng, Weizhi Xiong |
| JLAB number | JLAB-PHY-18-2655 |
| LANL number | arXiv:1803.01629 |
| Other number | DOE/OR/23177-4361 |
| Document Type(s) | (Journal Article) |
| Associated with EIC: | No |
| Supported by Jefferson Lab LDRD Funding: | No |
| Funding Source: | Nuclear Physics (NP) |
| Other Funding: | NSF MRI PHY-1229153 |
|
Journal Compiled for Physical Review C Volume 98 Issue 02 Page(s) 025204 Refereed | |
| Publication Abstract: | Background: Extracting the proton charge radius from electron scattering data requires determining the slope of the charge form factor at Q2 15 of zero. But as experimental data never reach that limit, numerous methods for making the extraction have been proposed, though often the functions are determined after seeing the data which can lead to confirmation bias. Purpose: To find functional forms that will allow for a robust extraction of the input radius for a wide variety of functional forms in order to have confidence in the extraction from upcoming low Q2 experimental data such as the Jefferson Lab PRad experiment. Method: We create a general framework for inputting form-factor functions as well as various fitting functions. The input form factors are used to generate pseudo-data with fluctuations intended to mimic the binning and random uncertainty of a given set of real data. All combinations of input functions and fit functions can then be tested repeatedly against regenerated pseudo-data. Since the input radius is known, this allows us to find those functions that are robust for radius extractions in an objective fashion. Results: For the range and uncertainty of the PRad data, we find that a two-parameter rational function, a two-parameter continued fraction and the second order polynomial expansion of z can extract the input radius regardless of the input charge form factor function that is used. Conclusions: We have created an easily expandable framework to search for functional forms that allow for a robust extraction of the radius from a given binning and uncertainty of pseudo-data generated from a wide variety of trial functions. This method has enabled a successful search for the best functional forms to extract the radius from the upcoming PRad data, and can be used for other experiments. |
| Experiment Numbers: | E12-11-106 |
| Group: | Hall B |
| Document: | |
| DOI: | https://doi.org/10.1103/PhysRevC.98.025204 |
| Accepted Manuscript: | 1803.01629.pdf |
| Supporting Documents: | |
| Supporting Datasets: | |