Physics-Informed Global Extraction of the Universal Small-$x$ Dipole Amplitude

Update Log : BK Equation Dynamics: Refined the evaluation of the running coupling $\alpha_s$. The active number of quark flavors ($N_f$) is now evaluated dynamically via a Variable-Flavor-Number Scheme (VFNS), strictly governed by the local running scale. Dataset Overview:This dataset contains the numerical grids for the dipole-proton scattering amplitude $N(r, x_B)$ and its momentum space distribution $S(k_T, x_B)$. 1. PINN_N_MAP.dat (Coordinate Space) Content: The universal dipole scattering amplitude. Columns: [1] $r~[\mathrm{GeV^{-1}}]$, [2] Rapidity $Y$, [3] Bjorken $x_B$, [4] $N(r, Y)$ Grid: 30,000 points in $r \in [10^{-7}, 500]$, 101 points in $Y \in [0, 10]$. 2. PINN_S_MAP.dat (Momentum Space) Content: The momentum space distribution of the dipole amplitude. Columns: [1] $k_T~[\mathrm{GeV}]$, [2] Bjorken $x_B$, [3] $S(k_T, x_B)$ Grid: 3000 points in $k_T \in [10^{-2}, 10^{2}]$, 101 points in $x_B \in [10^{-6}, 10^{-2}]$.