The BMS Equation and c\bar{c} Production; A Comparison of the BMS and BK Equations

TL;DR

This paper compares the BMS, BK, and FKPP equations, demonstrating their similarities and applying them to calculate probabilities of no charm-anticharm pair production in jet decay and high-energy scattering.

Contribution

It shows that the BMS, BK, and FKPP equations are essentially equivalent and applies them analytically to new processes involving charm pair production probabilities.

Findings

BMS, BK, and FKPP equations are essentially identical.

Analytic solutions for charm pair production probabilities.

Application to jet decay and high-energy scattering processes.

Abstract

We introduce two processes where the BMS equation appears in a context quite different from the original context of non-global jet observables. We note the strong similarities of the BMS equation to the BK and FKPP equations and argue that these, essentially identical equations, can be viewed either in terms of the probability, or amplitude, of something not happening or in terms of the nonlinear terms setting unitarity limits. Mostly analytic solutions are given for (i) the probability that no $c\bar{c}$ pairs be produced in a jet decay and (ii) the probability that no-$c\bar{c}$ pairs be produced in a high energy dipole nucleus scattering. Both these processes obey BMS equations, albeit with very different kernels.