Abstract

We derive the gluon initiated contribution to the initial condition for the perturbative fragmentation function of a heavy quark through order $\mathcal{O}({\ensuremath{\alpha}}_{s}^{2})$ in the $\overline{\mathrm{MS}}$ scheme. This result is needed for the resummation with next-to-next-to-leading logarithmic accuracy of quasicollinear logarithms ${ln}^{k}({m}^{2})$ in heavy quark differential distributions by solving the complete Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) equation. Together with the previously evaluated fermion initiated components, this result completes the derivation of the initial condition for the perturbative fragmentation function at next-to-next-to-leading order.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.