The relativistic corrections to the fragmentation functions for a heavy quark to $B_c$ and $B_c^{\ast }$

Abstract

In this paper, we compute the relativistic corrections to the fragmentation functions (FFs) of a heavy quark to $B_c$ and $B_c^{\ast }$ within the framework of non-relativistic QCD (NRQCD) factorization. The non-singlet and singlet DGLAP evolution are also presented.

18 pages, 5 figures. To be published in Chinese Physics C

References in corpus (5)

• Gluon fragmentation into quarkonium at next-to-leading order
• Relativistic corrections to light-cone distribution amplitudes of S-wave $B_c$ mesons and heavy quarkonia
• The QCD NLO Corrections to Inclusive $B_c^{\ast }$ Production in $Z^0$ Decays
• Gluon fragmentation into quarkonium at next-to-leading order using FKS subtraction
• Analytical calculation for the gluon fragmentation into spin-triplet S-wave quarkonium

Cited by in corpus (7)

• Fragmentation functions for gluon into $B_c$ or $B_c^{\ast }$ meson
• NLO fragmentation functions for a quark into a spin-singlet quarkonium: Same flavor case
• Purely leptonic decays of the ground charged vector mesons
• Gluon fragmentation into $B_c^{(\ast )}$ in NRQCD factorization
• 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
• Possibility of experimental study on nonleptonic $B_c^{\ast }$ weak decays