\begin{document}$D\to P(\pi, K)$\end{document} helicity form factors (HFFs) are investigated by applying the QCD light-cone sum rule (LCSR) approach. The calculation accuracy is up to the next-to-leading order (NLO) gluon radiation correction of twist-(2,3) distribution amplitude. The resultant HFFs at a large recoil point are \begin{document}${\cal{P}}_{t,0}^\pi(0) = 0.688^{+0.020}_{-0.024}$\end{document} and \begin{document}${\cal{P}}_{t,0}^K(0)=0.780^{+0.024}_{-0.029}$\end{document}, in which the contributions from the three particles of the leading order (LO) are so small that they can be safely neglected. The maximal contribution of the NLO gluon radiation correction for \begin{document}${\cal{P}}_{t,0}^{\pi,K}(0)$\end{document} is less than 3%. After extrapolating the LCSR predictions for these HFFs to the whole \begin{document}$q^2$\end{document}-region, we obtain the decay widths for semileptonic decay processes \begin{document}$D\to P\ell\nu_\ell$\end{document}, which are consistent with the BES-III collaboration predictions within error limits. After considering the \begin{document}$D^{+}/D^{0}$\end{document}-meson lifetime, we give the branching fractions of \begin{document}$D\to P\ell\nu_\ell$\end{document} with \begin{document}$\ell = e, \mu$\end{document}; our predictions also agree with the BES-III collaboration results within error limits, especially for the \begin{document}$D\to \pi \ell\nu_\ell$\end{document} decay process. Finally, we present the forward-backward asymmetry \begin{document}${\cal{A}}_{\rm{FB}}^\ell(q^2)$\end{document} and lepton convexity parameter \begin{document}${\cal{C}}_F^\ell(q^2)$\end{document}, and further calculate the mean value of these two observations, \begin{document}$\langle{\cal{A}}_{\rm{FB}}^\ell\rangle$\end{document} and \begin{document}$\langle{\cal{C}}_F^\ell\rangle$\end{document}, which may provide a way to test those HFFs in future experiments."> <i>D</i> → <i>P</i>(<i>π</i>, <i>K</i>) helicity form factors within light-cone sum rule approach -
  • [1]

    J. Adleret al., Phys. Rev. Lett.,60: 1375 (1988)

  • [2]

    B. I. Eisensteinet al. (CLEO Collaboration), Phys. Rev. D,78: 052003 (2008)

  • [3]

    M. Artusoet al. (CLEO Collaboration), Phys. Rev. Lett.,95: 251801 (2005)

  • [4]

    G. Bonviciniet al. (CLEO Collaboration), Phys. Rev. D,70: 112004 (2004)

  • [5]

    M. Ablikimet al. (BES Collaboration), Phys. Lett. B,610: 183 (2005)

  • [6]

    J. Adleret al. (MARK-Ⅲ Collaboration), Phys. Rev. Lett.,62: 1821 (1989)

  • [7]

    L. Widhalmet al. (Belle Collaboration), Phys. Rev. Lett.,97: 061804 (2006)

  • [8]

    D. Bessonet al. (CLEO Collaboration), Phys. Rev. D,80: 032005 (2009)

  • [9]

    J. P. Leeset al. (BABAR Collaboration), Phys. Rev. D,91: 052022 (2015)

  • [10]

    M. Ablikimet al. (BES-Ⅲ Collaboration), Phys. Rev. D,92: 072012 (2015)

  • [11]

    M. Ablikimet al. (BES-Ⅲ Collaboration), Eur. Phys. J. C,76: 369 (2016)

  • [12]

    M. Ablikimet al. (BES-Ⅲ Collaboration), Phys. Rev. D,92: 112008 (2015)

  • [13]

    M. Ablikimet al. (BES-Ⅲ Collaboration), Phys. Rev. Lett.,122: 061801 (2019)

  • [14]

    J. Koponenet al. (HPQCD Collaboration), arXiv: 1208.6242[hep-lat]

  • [15]

    M. Ablikimet al. (BES-Ⅲ Collaboration), Phys. Rev. D,96: 012002 (2017)

  • [16]

    Y. Amhiset al. (HFLAV Collaboration), Eur. Phys. J. C,77: 895 (2017)

  • [17]

    R. N. Faustov, V. O. Galkin, and X. W. Kang, Phys. Rev. D,101: 013004 (2020)

  • [18]

    S. H. Zhou and C. D. Lü, arXiv: 1910.03160[hep-ph]

  • [19]

    J. Charleset al. (CKMfitter Group), Eur. Phys. J. C,41: 1 (2005)

  • [20]

    N. G. Deshpande, B. Dutta, and S. Oh, Phys. Lett. B,473: 141 (2000)

  • [21]

    M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, Nucl. Phys. B,147: 385 (1979)

  • [22]

    P. Ball and V. M. Braun, Phys. Rev. D,55: 5561 (1997)

  • [23]

    P. Ball and R. Zwicky, Phys. Rev. D,71: 014029 (2005)

  • [24]

    T. Huang, Z. H. Li, X. G. Wuet al., Int. J. Mod. Phys. A,23: 3237 (2008)

  • [25]

    A. Khodjamirian, T. Mannel, A. A. Pivovarovet al., JHEP,1009: 089 (2010)

  • [26]

    M. Ahmady, R. Campbell, S. Lordet al., Phys. Rev. D,88: 074031 (2013)

  • [27]

    A. Bharucha, D. M. Straub, and R. Zwicky, JHEP,1608: 098 (2016)

  • [28]

    H. B. Fu, X. G. Wu, H. Y. Hanet al., Phys. Lett. B,738: 228 (2014)

  • [29]

    W. Cheng, X. G. Wu, and H. B. Fu, Phys. Rev. D,95: 094023 (2017)

  • [30]

    Y. M. Wang and Y. L. Shen, Nucl. Phys. B,898: 563-604 (2015)

  • [31]

    H. N. Li, Y. L. Shen, and Y. M. Wang, Phys. Rev. D,85: 074004 (2012)

  • [32]

    H. N. Li, Y. L. Shen, and Y. M. Wang, JHEP,02: 008 (2013)

  • [33]

    J. M. Flynnet al. (UKQCD Collaboration), Nucl. Phys. B,461: 327 (1996)

  • [34]

    L. Del Debbioet al. (UKQCD Collaboration), Nucl. Phys. Proc. Suppl.,63: 383 (1998)

  • [35]

    K. C. Bowleret al. (UKQCD Collaboration), JHEP,0405: 035 (2004)

  • [36]

    R. R. Horgan, Z. F. Liu, S. Meinelet al., Phys. Rev. D,89: 094501 (2014)

  • [37]

    R. R. Horgan, Z. Liu, S. Meinelet al., Phys. Rev. Lett.,112: 212003 (2014)

  • [38]

    A. Agadjanov, V. Bernard, U. G. Meibneret al., Nucl. Phys. B,910: 387 (2016)

  • [39]

    T. Kurimoto, H. n. Li, and A. I. Sanda, Phys. Rev. D,65: 014007 (2002)

  • [40]

    C. H. Chen and C. Q. Geng, Nucl. Phys. B,636: 338 (2002)

  • [41]

    T. Kurimoto, H. n. Li, and A. I. Sanda, Phys. Rev. D,67: 054028 (2003)

  • [42]

    Y. Y. Keum, M. Matsumori, and A. I. Sanda, Phys. Rev. D,72: 014013 (2005)

  • [43]

    Y. Y. Fan, W. F. Wang, S. Chenget al., Chin. Sci. Bull.,59: 125 (2014)

  • [44]

    J. Gao, C. D. Lü, Y. L. Shenet al., arXiv: 1907.11092[hep-ph]

  • [45]

    C. D. Lü, Y. L. Shen, Y. M. Wanget al., JHEP,1901: 024 (2019)

  • [46]

    C. D. Lü, W. Wang, Y. Xinget al., Phys. Rev. D,97: 114016 (2018)

  • [47]

    A. Bharucha, T. Feldmann, and M. Wick, JHEP,1009: 090 (2010)

  • [48]

    W. Cheng, X. G. Wu, R. Y. Zhouet al., Phys. Rev. D,98: 096013 (2018)

  • [49]

    P. Ball and R. Zwicky, Phys. Rev. D,71: 014015 (2005)

  • [50]

    G. Duplancic, A. Khodjamirian, T. Mannelet al., JHEP,0804: 014 (2008)

  • [51]

    Z. H. Li, Z. G. Si, Y. Wanget al., Nucl. Phys. B,900: 198 (2015)

  • [52]

    C. Patrignaniet al. (Particle Data Group), Chin. Phys. C,40(10): 100001 (2016)

  • [53]

    A. Khodjamirian, C. Klein, T. Mannelet al., Phys. Rev. D,80: 114005 (2009)

  • [54]

    M. Tanabashiet al. (Particle Data Group), Phys. Rev. D,98: 030001 (2018)

  • [55]

    H. B. Fu, L. Zeng, R. Lüet al., arXiv: 1808.06412 [hep-ph]

  • [56]

    P. Ball, V. M. Braun, and A. Lenz, JHEP,0605: 004 (2006)

  • [57]

    A. Khodjamirian, R. Ruckl, S. Weinzierlet al., Phys. Rev. D,62: 114002 (2000)

  • [58]

    D. Leljak, B. Melic, and M. Patra, JHEP,1905: 094 (2019)

  • [59]

    T. Zhong, Y. Zhang, X. G. Wuet al., Eur. Phys. J. C,78: 937 (2018)

  • [60]

    J. Chen (BES-Ⅲ Collaboration), arXiv: 1812.00406[hepex]

  • [61]

    V. Lubiczet al. (ETM), Phys. Rev. D,96(5): 054514 (2017)

  • [62]

    N. R. Soni and J. N. Pandya, Phys. Rev. D,96: 016017 (2017)

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