Abstract
We construct a general QCD light front formalism to compute many-body color charge correlators in the proton. These form factors can be extracted from deeply inelastic scattering measurements of exclusive final states in analogy to electromagnetic form factors extracted in elastic electron scattering experiments. Particularly noteworthy is the potential to extract a novel Odderon form factor, either indirectly from exclusive $J/\Psi$ measurements, or directly from exclusive measurements of the $\eta_c$ or tensor mesons at large Bjorken x. Besides the intrinsic information conveyed by these color charge correlators on the spatio-temporal tomography at the sub-femtoscopic scale at large x, the corresponding cumulants extend the domain of validity of McLerran-Venugopalan type weight functionals from small x and large nuclei to nucleons and light nuclei at large $x$, as well as to non-zero momentum transfer. This may significantly reduce nonperturbative systematic uncertainties in the initial conditions for QCD evolution equations at small $x$ and could be of strong relevance for the phenomenology of present and future collider experiments.
Highlights
The increasing availability of high energies and high luminosities at fixed target and collider experiments [1,2] allows for unprecedented access to the internal transverse spatial and momentum distributions of color charge distributions inside nucleons and in nuclei
Knowledge of the Wigner distributions allows the construction of generalized parton distributions (GPDs) [5,6,7,8,9,10,11] and transverse momentum distributions (TMDs) [12,13,14,15,16,17] that are generalizations of the usual collinear parton distributions
An attractive feature of the Hamiltonian light front framework is that the color charge form factors extracted in deeply inelastic scattering (DIS) can be employed to compute cross sections in hadron-hadron and hadron-nucleus scattering. The usefulness of such color charge form factors is known for QCD in the Regge limit of high energy scattering, with momentum resolution scales Q2 ≫ Λ2QCD and xBj ∼ Q2=s → 0, with s representing the squared center of mass energy in the experiment, as understood in the color glass condensate (CGC) [28,29,30,31]
Summary
The increasing availability of high energies and high luminosities at fixed target and collider experiments [1,2] allows for unprecedented access to the internal transverse spatial and momentum distributions of color charge distributions inside nucleons and in nuclei. The usefulness of such color charge form factors is known for QCD in the Regge limit of high energy scattering, with momentum resolution scales Q2 ≫ Λ2QCD and xBj ∼ Q2=s → 0, with s representing the squared center of mass energy in the experiment, as understood in the color glass condensate (CGC) [28,29,30,31] This is an effective field theory of the Regge limit of QCD that is formulated on the light front, with all the nontrivial information regarding multigluon correlations contained in a gauge invariant weight functional W1⁄2ρ that plays the role of a density matrix. In Appendix B, we provide some details of the computation of the odderon form factor
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