\begin{document}$ \Upsilon(1S,2S,3S) $\end{document} hadroproduction, a complete analysis of the polarization parameters \begin{document}$ \lambda_{\theta} $\end{document}, \begin{document}$ \lambda_{\theta\phi} $\end{document}, and \begin{document}$ \lambda_{\phi} $\end{document} for the production is presented at QCD next-to-leading order. With the long-distance matrix elements extracted from experimental data for the production rate and polarization parameter \begin{document}$ \lambda_{\theta} $\end{document} of \begin{document}$ \Upsilon $\end{document} hadroproduction, our results provide a good description of the measured parameters \begin{document}$ \lambda_{\theta\phi} $\end{document} and \begin{document}$ \lambda_{\phi} $\end{document} in both the helicity and Collins-Soper frames. In our calculations, the frame invariant parameter \begin{document}$ \tilde{\lambda} $\end{document} is consistent in the two frames. Finally, we mention that there are discrepancies between the available experimental data and corresponding theoretical predictions for \begin{document}$ \tilde{\lambda} $\end{document} ."> Complete study on polarization of <inline-formula><tex-math id="Z-20201014142729">\begin{document}$ {\Upsilon {(nS)}}$\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/8f52e5e3-26b6-48b5-9321-298de07d99ec/CPC-2020-0474_Z-20201014142729.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/8f52e5e3-26b6-48b5-9321-298de07d99ec/CPC-2020-0474_Z-20201014142729.png"/></alternatives></inline-formula> hadroproduction at QCD next-to-leading order -
  • [1]

    G. T. Bodwin, E. Braaten, and G. P. Lepage, Phys. Rev. D51, 1125 (1995), arXiv:hep-ph/9407339[hep-ph

  • [2]

    J. M. Campbell, F. Maltoni, and F. Tramontano, Phys. Rev. Lett.98, 252002 (2007), arXiv:hepph/0703113[HEP-PH

  • [3]

    B. Gong and J.-X. Wang, Phys. Rev. Lett.100, 232001 (2008), arXiv:0802.3727[hep-ph

  • [4]

    B. Gong, X. Q. Li, and J.-X. Wang, Phys. Lett. B673, 197 (2009), arXiv:0805.4751[hep-ph

  • [5]

    B. Gong, J.-X. Wang, and H.-F. Zhang, Phys. Rev. D83, 114021 (2011), arXiv:1009.3839[hep-ph

  • [6]

    M. Butenschoen and B. A. Kniehl, Phys. Rev. Lett.106, 022003 (2011), arXiv:1009.5662[hep-ph

  • [7]

    Y.-Q. Ma, K. Wang, and K.-T. Chao, Phys. Rev. Lett.106, 042002 (2011), arXiv:1009.3655[hep-ph

  • [8]

    M. Butenschoen and B. A. Kniehl, Phys. Rev. D84, 051501 (2011), arXiv:1105.0820[hep-ph

  • [9]

    Y.-Q. Ma, K. Wang, and K.-T. Chao, Phys. Rev. D84, 114001 (2011), arXiv:1012.1030[hep-ph

  • [10]

    K. Wang, Y.-Q. Ma, and K.-T. Chao, Phys. Rev. D85, 114003 (2012), arXiv:1202.6012[hep-ph

  • [11]

    M. Butenschoen and B. A. Kniehl, Phys. Rev. Lett.108, 172002 (2012), arXiv:1201.1872[hep-ph

  • [12]

    K.-T. Chao, Y.-Q. Ma, H.-S. Shaoet al., Phys. Rev. Lett.108, 242004 (2012), arXiv:1201.2675[hep-ph

  • [13]

    B. Gong, L.-P. Wan, J.-X. Wanget al., Phys. Rev. Lett.110, 042002 (2013), arXiv:1205.6682 [hep-ph

  • [14]

    R. Aaijet al. (LHCb), Eur. Phys. J. C73, 2631 (2013), arXiv:1307.6379[hep-ex

  • [15]

    R. Aaijet al. (LHCb), Eur. Phys. J. C74, 2872 (2014), arXiv:1403.1339[hep-ex

  • [16]

    R. Aaijet al. (LHCb), Eur. Phys. J. C75, 311 (2015), arXiv:1409.3612[hep-ex

  • [17]

    M. Butenschoen, Z.-G. He, and B. A. Kniehl, Phys. Rev. Lett.114, 092004 (2014), arXiv:1411.5287 [hep-ph

  • [18]

    H. Han, Y.-Q. Ma, C. Menget al., Phys. Rev. Lett.114, 092005 (2015), arXiv:1411.7350 [hep-ph

  • [19]

    H.-F. Zhang, Z. Sun, W.-L. Sanget al., Phys. Rev. Lett.114, 092006 (2014), arXiv:1412.0508 [hep-ph

  • [20]

    B. Gong, L.-P. Wan, J.-X. Wanget al., Phys. Rev. Lett.112, 032001 (2014), arXiv:1305.0748 [hep-ph

  • [21]

    Y. Feng, B. Gong, L.-P. Wanet al., Chin. Phys. C39, 123102 (2015), arXiv:1503.08439[hep-ph

  • [22]

    H. Han, Y.-Q. Ma, C. Menget al., Phys. Rev. D94, 014028 (2016), arXiv:1410.8537[hep-ph

  • [23]

    R. Aaijet al. (LHCb Collaboration), JHEP1410, 88 (2014), arXiv:1409.1408[hep-ex

  • [24]

    R. Aaijet al. (LHCb Collaboration), Eur. Phys. J. C74, 3092 (2014), arXiv:1407.7734[hep-ex

  • [25]

    M. Beneke, M. Kramer, and M. Vanttinen, Phys. Rev. D57, 4258 (1998)

  • [26]

    P. Faccioli, C. Lourenco, J. Seixaset al., Eur. Phys. J. C69, 657 (2010), arXiv:1006.2738[hep-ph

  • [27]

    B. Abelevet al. (ALICE), Phys. Rev. Lett.108, 082001 (2012), arXiv:1111.1630[hep-ex

  • [28]

    Y. Feng, B. Gong, C.-H. Changet al., Phys. Rev. D99, 014044 (2019), arXiv:1810.08989[hep-ph

  • [29]

    Y.-Q. Ma, T. Stebel, and R. Venugopalan, JHEP12, 057 (2018), arXiv:1809.03573[hep-ph

  • [30]

    S. Chatrchyanet al. (CMS), Phys. Rev. Lett.110, 081802 (2013), arXiv:1209.2922[hep-ex

  • [31]

    R. Aaijet al. (LHCb), JHEP12, 110 (2017), arXiv:1709.01301[hep-ex

  • [32]

    L.-P. Wan and J.-X. Wang, Comput. Phys. Commun.185, 2939 (2014), arXiv:1405.2143[hep-ph

  • [33]

    J.-X. Wang, Nucl. Instrum. Meth. A534, 241 (2004), arXiv:hep-ph/0407058[hep-ph

  • [34]

    M. Butenschoen and B. A. Kniehl, Nucl. Phys. B950, 114843 (2020), arXiv:1909.03698[hep-ph

  • [35]

    E. J. Eichten and C. Quigg, Phys. Rev. D52, 1726 (1995), arXiv:hep-ph/9503356[hep-ph

  • [36]

    J. Beringeret al. (Particle Data Group), Phys. Rev. D86, 010001 (2012)

  • [37]

    J. Pumplin, D. Stump, J. Hustonet al., JHEP0207, 012 (2002), arXiv:hep-ph/0201195 [hep-ph

Baidu
map