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- W4361806327 abstract "The forward scattering amplitude of a small dipole at high energies is given in the mean field approximation by the Balitsky-Kovchegov (BK) evolution equation. It requires an initial condition $N(r; x_0)$ describing the scattering of a dipole with size $r$ off the target that is probed at momentum fraction $x_0$. Rather than using ad hoc parameterizations tuned to high-energy data at $xll x_0$, here we attempt to construct an initial scattering amplitude that is consistent with low-energy, large-$x$ properties of the proton. We start from a non-perturbative three quark light-cone model wave function from the literature. We add ${cal O}(g)$ corrections due to the emission of a gluon, and ${cal O}(g^2)$ virtual corrections due to the exchange of a gluon, computed in light-cone perturbation theory with exact kinematics. We provide numerical data as well as analytic parameterizations of the resulting $N(r; x_0)$ for $x_0=0.01 - 0.05$. Solving the BK equation in the leading logarithmic (LL) approximation towards lower $x$, we obtain a fair description of the charm cross section in deeply inelastic scattering measured at HERA by fitting one parameter, the coupling constant $alpha_ssimeq 0.2$. However, without the option to tune the initial amplitude at $x_0$, the fit of the high precision data results in $chi^2/N_text{dof} = 2.3$ at $N_text{dof} =38$, providing clear statistical evidence for the need of systematic improvement e.g. of the photon wave function, evolution equation, and initial condition." @default.
- W4361806327 created "2023-04-05" @default.
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- W4361806327 date "2023-03-28" @default.
- W4361806327 modified "2023-09-27" @default.
- W4361806327 title "High-energy dipole scattering amplitude from evolution of low-energy proton light-cone wave functions" @default.
- W4361806327 doi "https://doi.org/10.48550/arxiv.2303.16339" @default.
- W4361806327 hasPublicationYear "2023" @default.
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