The QCD NLO fragmentation functions for $c$ or $\bar{b}$ quark to $B_c$ or $B_c^*$ meson and their application

Abstract

The fragmentation functions for a c or b quark to a Bc or B * c meson are derived up to QCD next-to-leading order. They are further computed numerically and presented precisely in figures. In order to reach a higher accuracy, we also try to properly use them to estimate Bc and B * c production at a Z factory (an e + e − collider running at the energy of the Z-boson pole).

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

“…We show the O(v 2 ) corrections is around 15 − 20% as we expect, which is as important as the NLO radiative corrections in [38]. We also show the DGLAP evolution is equally important for phenomenological application.…”

“…Their production at high energy collision is a hot topic of perturbative QCD since 1990s [27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42]. Among these works, a lot of efforts have been paid on the FFs of B c mesons, and most of calculations were done within the framework of NRQCD factorization similar to corresponding calculations for quarkonia.…”

Addendum to "Impact of polarization observables and $B_c\to τν$ on new physics explanations of the $b\to c τν$ anomaly"

“…If one instead uses a calculation of B − c production on the Z peak at e + e − colliders employing nonrelativistic quantum chromodynamics (NRQCD) at next-to-leading order [18,19] (see also Ref. [20]), one finds…”

NLO fragmentation functions of heavy quarks into heavy quarkonia

“…It is convenient to introduce a light-like vector n µ , which has the value of n µ = (0, 1, 0 ⊥ ) in the reference frame where the definition of the fragmentation function is carried out. In this frame, the plus component of a momentum p can be expressed as p + = p • n, and z = P • n/K • n. The Feynman rules for the fragmentation function can be directly derived from the above definition [28].…”

“…Due to its much simpler structure, following the method of Ref. [28], the phase-space integration over the subtraction term A S can be done analytically. The interesting reader can turn to Ref.…”