Relativistic corrections to double $B_c$ meson production in $e^+e^-$ annihilation

TL;DR

This paper calculates the relativistic corrections to double $B_c$ meson production in $e^+e^-$ annihilation, revealing significant effects across a wide energy range and analyzing various distributions.

Contribution

It provides the first detailed analysis of relativistic corrections to double $B_c$ meson production within the NRQCD framework across energies from threshold to $2m_Z$.

Findings

Relativistic corrections have a $K$ factor of about 0.6.

Significant impact of relativistic effects on production rates.

Distributions such as azimuthal asymmetry and transverse momentum are analyzed.

Abstract

Within the framework of nonrelativistic QCD (NRQCD) factorization, we investigate the relativistic corrections to the production of double $B_c$ mesons in $e^+e^-$ annihilation. The study covers center-of-mass energies from the production threshold up to $2m_Z$, considering both the photon and $Z^0$-boson propagated processes. We find that the relativistic corrections are significant, with the corresponding $K$ factors of approximately 0.6. The azimuthal asymmetry, angular distribution, and transverse momentum distribution are also presented.