Low-Energy Quark Mass Test for U and D Via Elastic Form Factors

Jingle B. Magallanes, Jinky B. Bornales and Rene Luna-Garcia


The study was aimed at providing a device to estimate the range of values of the u- and d-quark masses through the elastic ep-scattering form factors at the low energy regime. ROOT generated dcs_ep data sets, from theoretical and experimental form factors, were compared to modified dcs_eq and their intersections were determined from the average of a total of 3000 events for each dcs at various scattering angles selected randomly from 0 to 180 degrees. The proton mass was required as a parameter used in the relativistic recoil factor of dcs_eq to shift its distribution closer to dcs_ep thereby attaining the critical intersections. For quarks carrying effective masses, the extrapolated energy intersection of dcs_ep generated from the average of all form factors with the modified dcs_eu is 226.00013MeV^2 and this is lesser than that of the modified dcsed at 1093.00004MeV^2 with bin size of 1MeV^2 and their respective dcs intersections are 10.07049×10-4 and 0.36976×10-4, in barns. Summary of results are also given for quark masses derived from MS scheme and Lattice QCD. By considering all possible scattering angles at fixed transfer momentum, the relativistic recoil factor was treated as a constant that shifted the distribution and gave rise to a tool in estimating quark mass range.