Fragmentation functions for gluon into $B_c$ or $B_c^{\ast }$ meson

Abstract

In the paper, we calculate the fragmentation functions for $g\to B_c$ and $g\to B_c^{\ast }$. The ultraviolet divergences in the calculation are removed through the renormalization of the operator definition of the fragmentation functions under the modified minimal subtraction scheme. We then obtain the fragmentation functions $D_{g\to B_c}(z,{\mu }_F)$ and $D_{g\to B_c^{\ast }}(z,{\mu }_F)$, which are presented as figures and fitting functions. The obtained fragmentation functions are complementary to the previous work on the next-to-leading order fragmentation functions for $\bar{b}\to B_c(B_c^{\ast })$ and $c\to B_c(B_c^{\ast })$.

22 pages, 4 figures

References in corpus (5)

• The NLO fragmentation functions of heavy quarks into heavy quarkonia
• Gluon fragmentation into quarkonium at next-to-leading order
• NLO fragmentation functions for a quark into a spin-singlet quarkonium: Same flavor case
• Fragmentation functions for a quark into a spin-singlet quarkonium: Different flavor case
• Next-to-leading-order QCD corrections to heavy quark fragmentation into ${}^1{S}_0^{(1,8)}$ quarkonia