Non-global logarithms in hadron collisions at $N_c=3$

TL;DR

This paper computes the probability of rapidity gap survival in Higgs-related processes at proton-proton colliders by resumming non-global logarithms exactly at N_c=3, analyzing complex color structures.

Contribution

It provides a calculation of non-global logarithms for Higgs decay and dijet production without relying on the large-N_c approximation, including detailed color multipole analysis.

Findings

Calculated all relevant color multipoles for fixed dijet configurations.

Discussed the factorization of higher multipoles into lower ones.

Analyzed the validity of the large-N_c approximation.

Abstract

We calculate the rapidity gap survival probability associated with the Higgs decay and Higgs plus dijet production in proton-proton collisions by resumming the leading non-global logarithms without any approximation to the number of colors. For dijet production, depending on partonic subprocesses, the probability involves various `color multipoles', i.e., the product of 4 ($qq\to qq$) or 6 ($qg\to qg$) or 8 ($gg\to gg$) Wilson lines. We calculate all these multipoles for a fixed dijet configuration and discuss the factorization of higher multipoles into lower multipoles as well as the validity of the large-$N_c$ approximation.