Fully double-logarithm-resummed cross sections

Abstract

We calculate the complete double logarithmic contribution to cross sections for semi-inclusive hadron production in the modified minimal-subtraction scheme by applying dimensional regularization to the double logarithm approximation. The full double logarithmic contribution to the coefficient functions for inclusive hadron production in electron-positron annihilation is obtained in this scheme for the first time. Our result agrees with all fixed order results in the literature, which extend to next-next-to-leading order.

To appear in Nuclear Physics B

References in corpus (8)

• Next-to-Next-to-Leading Order Evolution of Non-Singlet Fragmentation Functions
• Higher order QCD corrections to the transverse and longitudinal fragmentation functions in electron-positron annihilation
• QCD Corrections to Semi-Inclusive Hadron Production in Electron-Positron Annihilation at Two Loops
• $O({\alpha }_s^2)$ Contributions to the longitudinal fragmentation function in $e^{+}{e}^{-}$ annihilation
• $O({\alpha }_s^2)$ Timelike Wilson Coefficients for Parton-Fragmentation Functions in Mellin Space
• $O({\alpha }_s^2)$ Contributions to the asymmetric fragmentation function in $e^{+}{e}^{-}$ annihilation
• Resummation of Soft Gluon Logarithms in the DGLAP Evolution of Fragmentation Functions
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Cited by in corpus (14)

• Parton Fragmentation Functions
• A determination of the fragmentation functions of pions, kaons, and protons with faithful uncertainties
• Fragmentation Functions at Next-to-Next-to-Leading Order Accuracy
• Resummation of small-x double logarithms in QCD: semi-inclusive electron-positron annihilation
• Unpolarized Quark and Gluon TMD PDFs and FFs at N${}^3$LO
• Fragmentation Functions Beyond Fixed Order Accuracy
• Resummed small-x and first-moment evolution of fragmentation functions in perturbative QCD
• Average gluon and quark jet multiplicities at higher orders
• Soft Fragmentation on the Celestial Sphere
• Timelike Single-logarithm-resummed Splitting Functions
• Timelike structure functions and hadron multiplicities
• SUSY, Casimir scaling and probabilistic properties of gluon and quark jets evolution
• SUSY-like relation of the splitting functions in evolution of gluon and quark jet multiplicities
• Average gluon and quark jet multiplicities