English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We develop an asymptotic perturbation theory for the large logarithmicbehavior of the non-linear integro-differential equation describing the softcorrelations of QCD jet measurements, the Banfi-Marchesini-Smye (BMS) equation.This equation captures the late-time evolution of radiating color dipoles aftera hard collision. This allows us to prove that at large values of the controlvariable (the non-global logarithm, a function of the infra-red energy scalesassociated with distinct hard jets in an event), the distribution has agaussian tail. We compute the decay width analytically, giving a closed formexpression, and find it to be jet geometry independent, up to the number oflegs of the dipole in the active jet. Enabling the asymptotic expansion is thecorrect perturbative seed, where we perturb around an anzats encoding formallyno real emissions, an intuition motivated by the buffer region found in jetdynamics. This must be supplemented with the correct application of the BFKLapproximation to the BMS equation in collinear limits. Comparing to theasymptotics of the conformally related evolution equation encountered insmall-x physics, the Balitisky-Kovchegov (BK) equation, we find that theasymptotic form of the non-global logarithms directly maps to the black-discunitarity limit of the BK equation, despite the contrasting physical pictures.Indeed, we recover the equations of saturation physics in the final statedynamics of QCD.

The Asymptotic Form of Non-Global Logarithms, Black Disc Saturation, and Gluonic Deserts