Fragmentation functions for gluon into $P$-wave $B_c$ mesons

TL;DR

This paper calculates the gluon fragmentation functions into P-wave B_c mesons using nonrelativistic QCD, including color-singlet and octet contributions, with divergences handled via renormalization.

Contribution

It provides the first detailed calculation of gluon fragmentation functions into P-wave B_c mesons within the NRQCD framework, including both color-singlet and octet states.

Findings

Fragmentation functions are presented graphically and analytically.

Ultraviolet divergences are successfully removed via operator renormalization.

Results facilitate predictions of B_c meson production in high-energy processes.

Abstract

We calculate the fragmentation functions for a gluon into $P$-wave $B_c$ mesons within the nonrelativistic QCD factorization framework, incorporating color-singlet and color-octet contributions. Ultraviolet divergences arising from phase-space integrals are removed via operator renormalization in the modified minimal subtraction scheme. The resulting fragmentation functions are presented in both graphical form and as fitted analytic expressions.