\begin{document}$ k_T $\end{document} factorization has resulted in great achievements in the QCD calculation of hadronic B decays. By regulating the endpoint divergence by the transverse momentum of quarks in the propagators, one can perform the perturbation calculation for various diagrams, including annihilation type diagrams. In this paper, we review the current status of the PQCD factorization calculation of two-body charmless \begin{document}$ B\to PP, PV, VV $\end{document}U decays up to next-to-leading order (NLO) QCD corrections. Two new power suppressed terms in the decaying amplitudes are also considered. Using universal input (non-perturbative) parameters, we collect the branching ratios and \begin{document}${C P}$\end{document} asymmetry parameters of all charmless two body B decays, which are calculated in the PQCD approach up to NLO. The results are compared with those of the QCD factorization approach, soft-collinear effective theory approach, and current experimental measurements. For most of the considered B meson decays, the PQCD results for branching ratios agree well with those of other approaches and experimental data. The PQCD predictions for the \begin{document}${C P}$\end{document} asymmetry parameters of many of the decay channels do not agree with those of other approaches but have better agreement with experimental data. The longstanding \begin{document}$ K \pi $\end{document} puzzle regarding the pattern of the direct CP asymmetries of penguin-dominated \begin{document}$ B \to K \pi $\end{document} decays can be understood after the inclusion of NLO contributions in PQCD. The NLO corrections and power suppressed terms play an important role in color suppressed and pure annihilation type B decay modes. These rare decays are more sensitive to different types of corrections, providing an opportunity to examine the factorization approach with more precise experimental measurements."> Charmless two-body <i>B</i> meson decays in the perturbative QCD factorization approach -
  • [1]

    J. B. Guimarães da Costaet al. (CEPC Study Group), arXiv: 1811.10545[hep-ex]

  • [2]

    P. Gambinoet al., Eur. Phys. J. C80(10), 966 (2020)

  • [3]

    A. Cerriet al., CERN Yellow Rep. Monogr.7, 867-1158 (2019)

  • [4]

    E. Kouet al. (Belle-II), PTEP2019, 123C01 (2019) [Erratum: PTEP2020, 029201 (2020)]

  • [5]

    Y. Li and C. D. Lü, Sci. Bull.63, 267-269 (2018)

  • [6]

    J. Aebischer, W. Altmannshofer, D. Guadagnoliet al., Eur. Phys. J. C80, 252 (2020)

  • [7]

    S. Jäger, M. Kirk, A. Lenzet al., JHEP03, 122 (2020)

  • [8]

    J. Charleset al., Phys. Rev. D102(5), 056023 (2020)

  • [9]

    A. Bharucha, D. M. Straub, and R. Zwicky, JHEP08, 098 (2016)

  • [10]

    Y. M. Wang and Y. L. Shen, Nucl. Phys. B898, 563-604 (2015)

  • [11]

    J. Gao, C. D. Lü, Y. L. Shenet al., Phys. Rev. D101(7), 074035 (2020)

  • [12]

    C. D. Lü, Y. L. Shen, Y. M. Wanget al., JHEP01, 024 (2019)

  • [13]

    N. Gubernari, A. Kokulu, and D. van Dyk, JHEP01, 150 (2019)

  • [14]

    S. Cheng, A. Khodjamirian, and A. V. Rusov, Phys. Rev. D102, 074022 (2020)

  • [15]

    S. Cheng and J. M. Shen, Eur. Phys. J. C80, 554 (2020)

  • [16]

    M. Beneke, V. M. Braun, Y. Jiet al., JHEP07, 154 (2018)

  • [17]

    Y. M. Wang, JHEP09, 159 (2016)

  • [18]

    V. M. Braun, Y. Ji, and A. N. Manashov, JHEP05, 022 (2017)

  • [19]

    A. Khodjamirian, Nucl. Phys. B605, 558-578 (2001)

  • [20]

    A. Khodjamirian, T. Mannel, and P. Urban, Phys. Rev. D67, 054027 (2003)

  • [21]

    A. Khodjamirian, T. Mannel, and B. Melic, Phys. Lett. B571, 75-84 (2003)

  • [22]

    A. Khodjamirian, T. Mannel, M. Melcheret al., Phys. Rev. D72, 094012 (2005)

  • [23]

    M. Bauer and B. Stech, Phys. Lett. B152, 380-384 (1985)

  • [24]

    M. Bauer, B. Stech, and M. Wirbel, Z. Phys. C34, 103 (1987)

  • [25]

    A. Ali, G. Kramer, and C.D. Lü, Phys. Rev. D58, 094009 (1998)

  • [26]

    A. Ali, G. Kramer, and C.D. Lü, Phys. Rev. D59, 014005 (1999)

  • [27]

    M. Beneke, G. Buchalla, M. Neubertet al., Phys. Rev. Lett.83, 1914-1917 (1999)

  • [28]

    M. Beneke, G. Buchalla, M. Neubertet al., Nucl. Phys. B606, 245-321 (2001)

  • [29]

    T. Huber and G. Tetlalmatzi-Xolocotzi, Eur. Phys. J. C82(3), 210 (2022)

  • [30]

    M. Beneke, T. Huber, and X. Q. Li, Nucl. Phys. B832, 109-151 (2010)

  • [31]

    T. Huber, S. Kränkl, and X. Q. Li, JHEP09, 112 (2016)

  • [32]

    G. Bell, M. Beneke, T. Huberet al., Phys. Lett. B750, 348-355 (2015)

  • [33]

    G. Bell, M. Beneke, T. Huberet al., JHEP04, 055 (2020)

  • [34]

    M. Beneke and S. Jager, Nucl. Phys. B751, 160-185 (2006)

  • [35]

    M. Beneke and S. Jager, Nucl. Phys. B768, 51-84 (2007)

  • [36]

    A. Jain, I. Z. Rothstein, and I. W. Stewart, arXiv: 0706.3399[hep-ph]

  • [37]

    C. W. Bauer, S. Fleming, D. Pirjolet al., Phys. Rev. D63, 114020 (2001)

  • [38]

    J. Chay and C. Kim, Nucl. Phys. B680, 302-338 (2004)

  • [39]

    T. Becher, A. Broggio, and A. Ferroglia, Lect. Notes Phys.896, 1-206 (2015)

  • [40]

    M. Beneke, Nucl. Part. Phys. Proc.261-262, 311-337 (2015)

  • [41]

    C. D. Lü, Y. L. Shen, C. Wanget al., arXiv: 2202.08073[hep-ph]

  • [42]

    H. n. Li and H. L. Yu, Phys. Rev. Lett.74, 4388-4391 (1995)

  • [43]

    H. n. Li and H. L. Yu, Phys. Rev. D53, 2480-2490 (1996)

  • [44]

    Y. Y. Keum, H. N. Li, and A. I. Sanda, Phys. Rev. D63, 054008 (2001)

  • [45]

    C. D. Lu, K. Ukai, and M. Z. Yang, Phys. Rev. D63, 074009 (2001)

  • [46]

    Z. j. Xiao, D. q. Guo, and X. f. Chen, Phys. Rev. D75, 014018 (2007)

  • [47]

    B. Melic, Phys. Rev. D59, 074005 (1999)

  • [48]

    C. D. Lu and M. Z. Yang, Eur. Phys. J. C23, 275-287 (2002)

  • [49]

    H. n. Li and S. Mishima, Phys. Rev. D71, 054025 (2005)

  • [50]

    Y. Li and C. D. Lu, Phys. Rev. D73, 014024 (2006)

  • [51]

    Z. T. Zou, A. Ali, C. D. Luet al., Phys. Rev. D91, 054033 (2015)

  • [52]

    J. Hua, H. n. Li, C. D. Luet al., Phys. Rev. D104(1), 016025 (2021)

  • [53]

    H. n. Li, S. Mishima, and A. I. Sanda, Phys. Rev. D72, 114005 (2005)

  • [54]

    S. Mishima and A. I. Sanda, Prog. Theor. Phys.110, 549-561 (2003)

  • [55]

    H. n. Li, Y. L. Shen, and Y. M. Wang, Phys. Rev. D85, 074004 (2012)

  • [56]

    S. Cheng, Y. Y. Fan, X. Yuet al., Phys. Rev. D89, 094004 (2014)

  • [57]

    H. C. Hu and H. n. Li, Phys. Lett. B718, 1351-1357 (2013)

  • [58]

    S. Cheng and Z. J. Xiao, Phys. Lett. B749, 1-7 (2015)

  • [59]

    S. Cheng, Z. J. Xiao, and Y. L. Zhang, Nucl. Phys. B896, 255-280 (2015)

  • [60]

    Y. L. Zhang, S. Cheng, J. Hua and Z. J. Xiao, Phys. Rev. D92, 094031 (2015)

  • [61]

    J. Hua, S. Cheng, Y. l. Zhanget al., Phys. Rev. D97, 113002 (2018)

  • [62]

    H. n. Li and S. Mishima, Phys. Rev. D90, 074018 (2014)

  • [63]

    X. Liu, H. n. Li, and Z. J. Xiao, Phys. Rev. D91, 114019 (2015)

  • [64]

    X. Liu, H. n. Li, and Z. J. Xiao, Phys. Rev. D93, 014024 (2016)

  • [65]

    S. Cheng and Z. J. Xiao, Front. Phys. (Beijing)16, 24201 (2021)

  • [66]

    S. Cheng, Phys. Rev. D100, 013007 (2019)

  • [67]

    Y. L. Shen, Z. T. Zou, and Y. B. Wei, Phys. Rev. D99, 016004 (2019)

  • [68]

    Y. L. Shen, Z. T. Zou, and Y. Li, Phys. Rev. D100, 016022 (2019)

  • [69]

    Z. J. Xiao, W. F. Wang, and Y. y. Fan, Phys. Rev. D85, 094003 (2012)

  • [70]

    W. Bai, M. Liu, Y. Y. Fanet al., Chin. Phys. C38, 033101 (2014)

  • [71]

    Y. Y. Fan, W. F. Wang, S. Chenget al., Phys. Rev. D87, 094003 (2013)

  • [72]

    Y. L. Zhang, X. Y. Liu, Y. Y. Fanet al., Phys. Rev. D90, 014029 (2014)

  • [73]

    Z. Q. Zhang, X. Liu, and Z. J. Xiao, Chin. Phys. C33, 722-728 (2009)

  • [74]

    H. n. Li and S. Mishima, Phys. Rev. D74, 094020 (2006)

  • [75]

    Z. Q. Zhang and Z. J. Xiao, Eur. Phys. J. C59, 49-66 (2009)

  • [76]

    Z. Rui, X. Gao, and C. D. Lu, Eur. Phys. J. C72, 1923 (2012)

  • [77]

    X. Liu, H. s. Wang, Z. j. Xiaoet al., Phys. Rev. D73, 074002 (2006)

  • [78]

    Z. Q. Zhang and Z. J. Xiao, Commun. Theor. Phys.51, 885-894 (2009)

  • [79]

    G. Buchalla, A. J. Buras, and M. E. Lautenbacher, Rev. Mod. Phys.68, 1125-1144 (1996)

  • [80]

    E. Ma and A. Pramudita, Phys. Rev. D22, 214 (1980)

  • [81]

    M. Clements, C. Footman, A. S. Kronfeldet al., Phys. Rev. D27, 570 (1983)

  • [82]

    T. Inami and C. S. Lim, Prog. Theor. Phys.65, 297 (1981);[erratum: Prog. Theor. Phys.65, 1772 (1981)].

  • [83]

    S. Nandi and H. n. Li, Phys. Rev. D76, 034008 (2007)

  • [84]

    H. n. Li and G. F. Sterman, Nucl. Phys. B381, 129-140 (1992)

  • [85]

    H. n. Li and H. L. Yu, Phys. Rev. Lett.74, 4388-4391 (1996)

  • [86]

    H. n. Li, Phys. Rev. D55, 105-119 (1997)

  • [87]

    H. n. Li, Phys. Lett. B454, 328-334 (1999)

  • [88]

    F. Feng, J. P. Ma, and Q. Wang, JHEP06, 039 (2007)

  • [89]

    C. H. V. Chang, and H. n. Li, Phys. Rev. D55, 5577-5580 (1997)

  • [90]

    T. W. Yeh and H. n. Li, Phys. Rev. D56, 1615-1631 (1997)

  • [91]

    H. n. Li and B. Tseng, Phys. Rev. D57, 443-451 (1998)

  • [92]

    A. G. Grozin and M. Neubert, Phys. Rev. D55, 272-290 (1997)

  • [93]

    H. n. Li and B. Melic, Eur. Phys. J. C11, 695-702 (1999)

  • [94]

    M. Beneke and T. Feldmann, Nucl. Phys. B592, 3-34 (2001)

  • [95]

    H. Kawamura, J. Kodaira, C. F. Qiaoet al., Phys. Lett. B523, 111 (2001)

  • [96]

    B. Geyer and O. Witzel, Phys. Rev. D72, 034023 (2005)

  • [97]

    T. Kurimoto, H. n. Li, and A. I. Sanda, Phys. Rev. D65, 014007 (2002)

  • [98]

    Y. Yang, L. Lang, X. Zhaoet al., Phys. Rev. D103(5), 056006 (2021)

  • [99]

    P. Ball, V. M. Braun, Y. Koikeet al., Nucl. Phys. B529, 323-382 (1998)

  • [100]

    P. Ball, V. M. Braun, and A. Lenz, JHEP05, 004 (2006)

  • [101]

    P. Ball and V. M. Braun, Nucl. Phys. B543, 201-238 (1999)

  • [102]

    P. Ball and G. W. Jones, JHEP03, 069 (2007)

  • [103]

    F. Ambrosinoet al. (KLOE), Phys. Lett. B648, 267-273 (2007)

  • [104]

    H. Y. Cheng, H. n. Li, and K. F. Liu, Phys. Rev. D79, 014024 (2009)

  • [105]

    Y. D. Tsai, H. n. Li, and Q. Zhao, Phys. Rev. D85, 034002 (2012)

  • [106]

    T. Feldmann, P. Kroll, and B. Stech, Phys. Rev. D58, 114006 (1998)

  • [107]

    T. Feldmann, P. Kroll, and B. Stech, Phys. Lett. B449, 339-346 (1999)

  • [108]

    R. L. Workmanet al. (Particle Data Group), PTEP2022, 083C (2022)

  • [109]

    S. Aokiet al. (Flavour Lattice Averaging Group), Eur. Phys. J. C80, 113 (2020)

  • [110]

    V. M. Braun and A. Khodjamirian, Phys. Lett. B718, 1014-1019 (2013)

  • [111]

    Y. M. Wang and Y. L. Shen, JHEP05, 184 (2018)

  • [112]

    H. Leutwyler, Phys. Lett. B378, 313-318 (1996)

  • [113]

    R. Arthuret al., Phys. Rev. D83, 074505 (2011)

  • [114]

    K. Ottnadet al. (ETM), Phys. Rev. D97, 054508 (2018)

  • [115]

    N. Offen, F. A. Porkert, and A. Schäfer, Phys. Rev. D88, 034023 (2013)

  • [116]

    V. M. Braunet al., JHEP04, 082 (2017)

  • [117]

    M. Dimou, J. Lyon, and R. Zwicky, Phys. Rev. D87, 074008 (2013)

  • [118]

    H. N. Li, Y. L. Shen, and Y. M. Wang, JHEP02, 008 (2013)

  • [119]

    H. N. Li, Y. L. Shen, and Y. M. Wang, JHEP01, 004 (2014)

  • [120]

    C. D. Lu, Y. l. Shen, and J. Zhu, Eur. Phys. J. C41, 311-317 (2005)

  • [121]

    J. Zhu, Y. L. Shen, and C. D. Lu, Phys. Rev. D72, 054015 (2005)

  • [122]

    H. s. Wang, X. Liu, Z. j. Xiaoet al., Nucl. Phys. B738, 243-268 (2006)

  • [123]

    H. W. Huang, C. D. Lu, T. Moriiet al., Phys. Rev. D73, 014011 (2006)

  • [124]

    H. n. Li and S. Mishima, Phys. Rev. D73, 114014 (2006)

  • [125]

    A. R. Williamson and J. Zupan, Phys. Rev. D74, 014003 (2006), [erratum: Phys. Rev. D74, 03901 (2006)].

  • [126]

    H. Y. Cheng, C. W. Chiang, and A. L. Kuo, Phys. Rev. D91, 014011 (2015)

  • [127]

    H. Y. Cheng and C. K. Chua, Phys. Rev. D80, 114008 (2009)

  • [128]

    W. Wang, Y. M. Wang, D. S. Yanget al., Phys. Rev. D78, 034011 (2008)

  • [129]

    (LHCb), arXiv: 2206.02038[hep-ex]

  • [130]

    C. Wang, S. H. Zhou, Y. Liet al., Phys. Rev. D96(7), 073004 (2017)

  • [131]

    M. Beneke, J. Rohrer, and D. Yang, Nucl. Phys. B774, 64-101 (2007)

  • [132]

    Z. Rui, Y. Li, and H. n. Li, JHEP05, 082 (2021)

  • [133]

    Y. Li, D. C. Yan, Z. Ruiet al., Eur. Phys. J. C81(9), 806 (2021)

  • [134]

    Y. S. Amhiset al. (HFLAV), Eur. Phys. J. C81, 226 (2021)

  • [135]

    A. L. Kagan, Phys. Lett. B601, 151-163 (2004)

  • [136]

    S. Catani and L. Trentadue, Nucl. Phys. B327, 323-352 (1989)

  • [137]

    S. Catani and L. Trentadue, Nucl. Phys. B353, 183-186 (1991)

  • [138]

    G. F. Sterman, Nucl. Phys. B281, 310-364 (1987)

  • [139]

    J. Botts and G. F. Sterman, Nucl. Phys. B325, 62-100 (1989)

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