Higher-order threshold resummation for semi-inclusive e^+e^- annihilation

Details Higher-order threshold resummation for semi-inclusive e^+e^- annihilation Higher-order threshold resummation for semi-inclusive e^+e^- annihilation

2009-08-19

arxiv.org/abs/0908.2746v1

Phys.Lett.B680:239-246,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages, LaTeX, 1 eps-figure

Scientific paper

10.1016/j.physletb.2009.09.001

The complete soft-enhanced and virtual-gluon contributions are derived for the quark coefficient functions in semi-inclusive e^+e^- annihilation to the third order in massless perturbative QCD. These terms enable us to extend the soft-gluon resummation for the fragmentation functions by two orders to the next-to-next-to-next-to-leading logarithmic (N^3LL) accuracy. The resummation exponent is found to be the same as for the structure functions in inclusive deep-inelastic scattering. This finding, together with known results on the higher-order quark form factor, facilitates the determination of all soft and virtual contributions of the fourth-order difference of the coefficient functions for these two processes. Unlike the previous (N^2LL) order in the exponentiation, the numerical effect of the N^3LL contributions turns out to be negligible at LEP energies.

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