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We calculate the time-like pion electromagnetic form factor in the $k_T$factorization formalism with the inclusion of the next-to-leading-order(NLO)corrections to the leading-twist and sub-leading-twist contributions. It'sfound that the total NLO correction can enhance (reduce) the magnitude (strongphase) of the leading order form factor by $20\% - 30\%$ ( $< 15^o$) in theconsidered invariant mass squared $q^2 > 5$ GeV$^2$, and the NLO twist-3correction play the key role to narrow the gap between the pQCD predictions andthe measured values for the time-like pion electromagnetic form factor.

Time-like pion electromagnetic form factors in $k_{T}$ factorization with the Next-to-leading-order twist-3 contribution