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Home > Physical Review D (APS) > Perturbative QCD analysis of exclusive processes <math><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>−</mo></msup><mo>→</mo><mi>V</mi><mi>P</mi></math> and <math><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>−</mo></msup><mo>→</mo><mi>T</mi><mi>P</mi></math> |

Lü, Cai-Dian (Institute of High Energy Physics, Chinese Academy of Science, Beijing 100049, China) (School of Physics, University of Chinese Academy of Sciences, Beijing 100049, China) ; Wang, Wei (INPAC, Shanghai Key Laboratory for Particle Physics and Cosmology, MOE Key Laboratory for Particle Physics, Astrophysics and Cosmology School of Physics and Astronomy, Shanghai JiaoTong University, Shanghai 200240, China) ; Xing, Ye (INPAC, Shanghai Key Laboratory for Particle Physics and Cosmology, MOE Key Laboratory for Particle Physics, Astrophysics and Cosmology School of Physics and Astronomy, Shanghai JiaoTong University, Shanghai 200240, China) ; Zhang, Qi-An (Institute of High Energy Physics, Chinese Academy of Science, Beijing 100049, China) (School of Physics, University of Chinese Academy of Sciences, Beijing 100049, China)

12 June 2018

**Abstract: **We study the ${e}^{+}{e}^{-}\to VP$ and ${e}^{+}{e}^{-}\to TP$ processes in the perturbative QCD approach based on ${k}_{T}$ factorization, where the $P$, $V$ and $T$ denotes a light pseudoscalar, vector, and tensor meson, respectively. We point out in the case of ${e}^{+}{e}^{-}\to TP$ transition due to charge conjugation invariance, only three channels are allowed: ${e}^{+}{e}^{-}\to {a}_{2}^{\pm}{\pi}^{\mp}$, ${e}^{+}{e}^{-}\to {K}_{2}^{*\pm}{K}^{\mp}$ and the V-spin suppressed ${e}^{+}{e}^{-}\to {K}_{2}^{*0}{\overline{K}}^{0}+{\overline{K}}_{2}^{*0}{K}^{0}$. Cross sections of ${e}^{+}{e}^{-}\to VP$ and ${e}^{+}{e}^{-}\to TP$ at $\sqrt{s}=3.67\text{}\text{}\mathrm{GeV}$ and $\sqrt{s}=10.58\text{}\text{}\mathrm{GeV}$ are calculated and the invariant mass dependence is found to favor the $1/{s}^{4}$ power law. Most of our theoretical results are consistent with the available experimental data and other predictions can be tested at the ongoing BESIII and forthcoming Belle-II experiments.

**Published in: ****Physical Review D 97 (2018)**
**Published by: **APS

**DOI: **10.1103/PhysRevD.97.114016

**arXiv: **1802.09718

**License: **CC-BY-4.0