Eikonal Amplitudes and Nonglobal Logarithms from the BMS Equation

The Banfi-Marchesini-Smye (BMS) equation accounts for non-global logarithms to all orders in perturbation theory the large-Nc approximation. We show that squared amplitudes emission of soft energy-ordered gluons are correctly embedded this equation, and explicitly verify they coincide with those derived our previous work limit up sixth order strong coupling. perform analytical calculations fourth specific hemisphere mass distribution e+ e- collisions, thus confirming semi-numerical results. solution BMS may be cast into a product an infinite number exponentials each which resums class Feynman diagrams manifest symmetry pattern, carry out computation first these exponentials.