Higgs-boson production in top-quark fragmentation

We compute the fragmentation functions for the production of a Higgs boson at O(y(t)(2)alpha(s)). As part of this calculation, the relevant splitting functions are also derived at the same perturbative order. Our results can be used to compute differential cross sections with arbitrary top-quark and Higgs-boson masses from massless calculations. They can also be used to resum logarithms of the form ln(p(T)/m) at large transverse momentum p(T) to next-to-leading-logarithmic accuracy by solving the DGLAP equations.

Automated summary

We have computed the fragmentation functions for the production of a Higgs boson at O(y(t)(2)alpha(s)), deriving the relevant splitting functions at the same perturbative order. Our results can be employed to calculate differential cross sections with arbitrary top-quark and Higgs-boson masses, and to resum logarithms of the form ln(p(T)/m) to next-to-leading-logarithmic accuracy by solving the DGLAP equations at large transverse momentum p(T).