Dynamical parton distributions from DGLAP equations with nonlinear corrections

Abstract：

Determination of proton parton distribution functions is presented under the dynamical parton model assumption by applying DGLAP equations with GLR-MQ-ZRS corrections. We provide two data sets, referred to as IMParton16, which are from two different nonperturbative inputs. One is the naive input of three valence quarks and the other is the input of three valence quarks with flavor-asymmetric sea components. Basically, both data sets are compatible with the experimental measurements at high scale (Q² >2 GeV²). Furthermore, our analysis shows that the input with flavor-asymmetric sea components better reproduces the structure functions at high Q². Generally, the parton distribution functions obtained, especially the gluon distribution function, are good options for inputs to simulations of high energy scattering processes. The analysis is performed under the fixed-flavor number scheme for n_f= 3, 4, 5. Both data sets start from very low scales, around 0.07 GeV², where the nonperturbative input is directly connected to the simple picture of the quark model. These results may shed some lights on the origin of the parton distributions observed at high Q².