Gluon fragmentation into $B_c^{(*)}$ in NRQCD factorization

TL;DR

This paper calculates the gluon fragmentation functions into $B_c$ and $B_c^*$ mesons using NRQCD, providing precise results to improve understanding of $B_c^{(*)}$ production at high transverse momentum in LHC experiments.

Contribution

It presents the first detailed calculation of gluon fragmentation into $B_c^{(*)}$ within NRQCD at leading order, including UV renormalization and high-precision numerical results.

Findings

Fragmentation functions computed with high numerical accuracy.

UV divergences handled via DGLAP renormalization.

Results applicable to $B_c^{(*)}$ production at LHC.

Abstract

The universal fragmentation functions of gluon into the flavored quarkonia $B_c$ and (polarized) $B_c^*$ are computed within NRQCD factorization framework, at the lowest order in velocity expansion and strong coupling constant. It is mandatory to invoke the DGLAP renormalization program to render the NRQCD short-distance coefficients UV finite in a point-wise manner. The calculation is facilitated with the sector decomposition method, with the final results presented with high numerical accuracy. This knowledge is useful to enrich our understanding toward the large-$p_T$ behavior of $B_c^{(*)}$ production at LHC experiment.