Use of the Husimi distribution for nucleon tomography

Understand

In the context of nucleon structure, the Wigner distribution has been commonly used to visualize the phase-space distribution of quarks and gluons inside the nucleon.

• However, the Wigner distribution does not allow for a probabilistic interpretation because it takes negative values.
• In pursuit of a positive phase-space distribution in QCD, we introduce the Husimi distribution and demonstrate its advantages via a simple one-loop example.
• We also comment on a possible connection to the semiclassical approach to saturation physics at small-$x$.