Resummation of Threshold Corrections for Single-Particle Inclusive Cross Sections
E. Laenen, G. Oderda, G. Sterman
TL;DR
This paper extends threshold resummation to single-particle inclusive cross sections in hadronic collisions. It develops a factorized 1PI formalism with parton densities, jet and soft functions, and a soft anomalous dimension to sum logarithmic enhancements near partonic threshold in Mellin space. The authors derive the all-orders resummed expression for the hard-scattering function and verify it by matching with known one-loop threshold results for direct photons and heavy quarks. They discuss implications for higher-order corrections, parton-distribution fits, and potential connections to transverse-momentum (k_T) resummation.
Abstract
We derive threshold resummations for single-particle and single-jet inclusive cross sections, thus generalizing previous results at fixed invariant mass to a wider class of cross sections with phenomenological interest. We confirm the structure of our resummed expressions by comparison with explicit one-loop calculations for direct photons and heavy quarks.