Production of pseudovector heavy quarkonia by virtual Z boson in electron-positron collisions

Abstract

It is shown that $BR({\chi }_{b1}(1P)\to Z\to e^{+}{e}^{-})\simeq 3.3\cdot 10^{-7}$, $BR({\chi }_{b1}(2P)\to Z\to e^{+}{e}^{-})\simeq 4.1\cdot 10^{-7}$ and $BR({\chi }_{c1}(1P)\to Z\to e^{+}{e}^{-})\simeq 10^{-8}$ that give a good chance to search for the direct production of pseudovector ${}^3{P}_1$ heavy quarkonia in $e^{+}{e}^{-}$ collisions ($e^{+}{e}^{-}\to Z{\to }^3{P}_1$) even at current facilities not to mention $b$ and $c-\tau$ factories. Leading radiative corrections to annihilation of quarkonia in QCD are discussed.

Comments: 12 pages, revtex, two evident misprints in Eq. (12) are corrected