Abstract
We present theoretical analysis of paired Bc mesons production in e+e− annihilation at different energy scales taking into account full next-to-leading order QCD corrections. Both possible electroweak channels are considered: production via virtual photon and via virtual Z-boson. We study in detail the role of radiative QCD corrections, which were found to be significant especially at low energies. It is shown that the contribution from Z-boson is significant at high energies (s>MZ/2) especially in the case of paired production of pseudo-scalar and vector (Bc+Bc⁎) mesons. Azimuthal asymmetry induced by a P-violating weak interaction with Z-boson is also analyzed.
Highlights
In the recent years bound systems of heavy quarks became a perfect laboratory for rigorous theoretical and experimental studies of Standard Model phenomena
From the left plot we see that the production cross section of a pair of pseudoscalar (PP) mesons e+ + e− → B+c + B−c is zero at some center of mass energy near threshold
In the present paper we have considered paired production of different S -wave Bc states in e+e−-annihilation via virtual γ∗ and Z∗ bosons taking into account full next-to-leading order (NLO) QCD corrections
Summary
In the recent years bound systems of heavy quarks became a perfect laboratory for rigorous theoretical and experimental studies of Standard Model phenomena. In the case of the production of a pair of pseudoscalar mesons there is an interesting feature related to the cross section becoming zero (both within LO and NLO) at some value of center of mass energy near threshold, which can be potentially interesting for experimental search and study of B∗c mesons, since all (bc)-mesons produced exclusively at this point are 1−. We show that the account for virtual Z∗-boson exchange changes significantly the behavior of Bc + B∗c production cross section, in particular it changes the asymptotic behavior at large energies and completely changes the cross section dependence on the renormalization scale μ. Such effects are absent in the case of Bc + Bc and B∗c + B∗c production. Parity violation induced by weak interaction is shown to be significant at the energies near mZ/2 for the production cross section of Bc + B∗c and B∗c + B∗c, while in the case of Bc + Bc there is no parity violation in all energy range since final state with such quantum numbers can not be produced from the axial part of Z-current and there is no V-A interference
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