Fully double-logarithm-resummed cross sections
S. Albino, P. Bolzoni, B. A. Kniehl, A. Kotikov

TL;DR
This paper computes the complete double logarithmic contributions to semi-inclusive hadron production cross sections, providing a comprehensive resummation in the modified minimal-subtraction scheme and confirming consistency with higher-order fixed results.
Contribution
It presents the first full double logarithmic resummation for inclusive hadron production in electron-positron annihilation within the MMS scheme.
Findings
Results agree with all known fixed order calculations
Provides the first complete double logarithmic contribution in this scheme
Enhances precision of theoretical predictions for hadron production
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.
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