Transverse-momentum distribution from the Bloch-Nordsieck method

Abstract

The transverse-momentum distribution is studied using the Bloch-Nordsieck method. An approximate analytic form for the above distribution is found, which maintains the normalization as well as reproduces the exact result for the average (squared) transverse momentum, $〈{k_{\perp }}^2〉$. For large $k_{\perp }$, our proposed approximation gives an exponential damping in $k_{\perp }$ which is independent of the coupling constant. The discontinuous nature of the four-momentum distribution is examined to make comparison with perturbation theory.