Threshold resummation for semi-inclusive single-hadron production with effective field theory

Abstract

Abstract Large double-logarithmic corrections are induced by soft gluon emissions near threshold in the semi-inclusive e + e − annihilation (SIA) distributions, and must be resummed to all-orders in perturbation theory for reliable theoretical predictions. Building on strategy developed for threshold resummation for DIS structure function in momentum space using soft-collinear effective theory (SCET), we present the explicit formalism for SIA cross section. We then perform the resummation directly in momentum space for γ ∗ → q q ¯ $$ q\overline{q} $$ , H → gg and H → b b ¯ $$ H\to b\overline{b} $$ to N4LL accuracy and demonstrate good convergence. We anticipate that these results will benefit the extraction of the light-quark, the heavy-quark as well as the gluon fragmentation functions.

Keywords

• Effective Field Theories of QCD
• Factorization
• Renormalization Group
• Resummation
• Effective Field Theories