Small-$x$ resummation in coefficient function for differential heavy-quarks production

TL;DR

This paper discusses recent advances in resumming high-energy logarithmic corrections for differential cross sections in heavy-flavor production at the LHC, focusing on small-x effects relevant at high energies.

Contribution

It introduces new methods for resumming small-x logarithms in differential heavy-quark production cross sections at the LHC.

Findings

Enhanced accuracy in theoretical predictions for heavy-flavor production.

Improved understanding of small-x effects in differential observables.

Potential for better agreement with experimental data.

Abstract

High-energy logarithmic correction are enhanced when the ratio, $x = \frac{Q^2}{s}$ between the typical energy scale of a scattering process $Q$ and the total centre of mass energy available $s$ is small. We discuss recent developments on their resummation in differential cross sections in rapidity, transverse momentum and invariant mass and their application to heavy flavour production at the LHC.