| [1] |
C. Patrignani et al (Particle Data Group), Chin. Phys. C, 40:100001(2016) |
| [2] |
J. Segovia, D. Entem, F. Fernndez, Nucl. Phys. A, 915:125(2013) |
| [3] |
J. Sun, Y. Yang, N. Wang, Q. Chang, G. Lu, Int. J. Theor. Phys., 56:1892(2017) |
| [4] |
G. Buchalla, A. Buras, M. Lautenbacher, Rev. Mod. Phys., 68:1125, (1996) |
| [5] |
N. Cabibbo, L. Maiani, Phys. Lett. B, 73:418(1978) |
| [6] |
D. Fakirov, B. Stech, Nucl. Phys. B, 133:315(1978) |
| [7] |
M. Bauer, B. Stech, M. Wirbel, Z. Phys. C, 34:103(1987) |
| [8] |
J. Bjorken, Nucl. Phys. B (Proc. Suppl.), 11:325(1989) |
| [9] |
J. Li, D. Du, Phys. Rev. D, 78:074030(2008) |
| [10] |
B. Melić, Phys. Rev. D 68:034004(2003) |
| [11] |
B. Melić, Phys. Lett. B, 591:91(2004) |
| [12] |
X. Liu, Z. Zhang, Z. Xiao, Chin. Phys. C, 34:937(2010) |
| [13] |
X. Liu, W. Wang, Y. Xie, Phys. Rev. D, 89:094010(2014) |
| [14] |
C. Chen, H. Li, Phys. Rev. D, 71:114008(2005) |
| [15] |
Z. Rui, Y. Li, Z. Xiao, Eur. Phys. J. C, 77:610(2017) |
| [16] |
Z. Zhang, Phys. Lett. B, 772:719(2017) |
| [17] |
H. Cheng, K. Yang, Phys. Rev. D, 63:074011(2001) |
| [18] |
H. Cheng, Y. Keum, K. Yang, Phys. Rev. D, 65:094023(2002) |
| [19] |
M. Beneke, G. Buchalla, M. Neubert, C. Sachrajda, Phys. Rev. Lett., 83:1914(1999) |
| [20] |
M. Beneke, G. Buchalla, M. Neubert, C. Sachrajda, Nucl. Phys. B, 591:313(2000) |
| [21] |
D. Du, D. Yang, G. Zhu, Phys. Lett. B, 488:46(2000) |
| [22] |
M. Beneke, G. Buchalla, M. Neubert, C. Sachrajda, Nucl. Phys. B, 606:245(2001) |
| [23] |
D. Du, D. Yang, G. Zhu, Phys. Lett. B, 509:263(2001) |
| [24] |
D. Du, D. Yang, G. Zhu, Phys. Rev. D, 64:014036(2001) |
| [25] |
M. Beneke, J. Rohrer, D. Yang, Nucl. Phys. B, 774:64(2007) |
| [26] |
J. Sun, G. Xue, Y. Yang, G. Lu, D. Du, Phys. Rev. D, 77:074013(2008) |
| [27] |
J. Virto, arXiv:1609.07430 and Refs[23-33]therein |
| [28] |
M. Beneke, M. Neubert, Nucl. Phys. B, 675:333(2003) |
| [29] |
G. Bell, Nucl. Phys. B, 795:1(2008) |
| [30] |
G. Bell, Nucl. Phys. B, 822:172(2009) |
| [31] |
M. Beneke, T. Huber, X. Li, Nucl. Phys. B, 832:109(2010) |
| [32] |
C. Kim, Y. Yoon, JHEP, 1111:003(2011) |
| [33] |
M. Beneke, T. Huber, X. Li, Phys. Lett. B, 750:348(2015) |
| [34] |
M. Beneke, S. Jger, Nucl. Phys. B, 751:160(2006) |
| [35] |
M. Beneke, S. Jger, Nucl. Phys. B, 768:51(2007) |
| [36] |
N. Kivel, JHEP, 0705:019(2007) |
| [37] |
V. Pilipp, Nucl. Phys. B, 794:154(2008) |
| [38] |
H. Li, H. Yu, Phys. Rev. Lett., 74:4388(1995) |
| [39] |
H. Li, Phys. Lett. B, 348:597(1995) |
| [40] |
H. Li, Phys. Rev. D, 52:3958(1995) |
| [41] |
C. Chang, H. Li, Phys. Rev. D, 55:5577(1997) |
| [42] |
T. Yeh, H. Li, Phys. Rev. D, 56:1615(1997) |
| [43] |
Y. Keum, H. Li, Phys. Rev. D, 63:074006(2001) |
| [44] |
Y. Keum, H. Li, A. Sanda, Phys. Lett. B, 504:6(2001) |
| [45] |
Y. Keum, H. Li, A. Sanda, Phys. Rev. D, 63:054008(2001) |
| [46] |
C. L, K. Ukai, M. Yang, Phys. Rev. D, 63:074009(2001) |
| [47] |
C. L, M. Yang, Eur. Phys. J. C, 23:275(2002) |
| [48] |
A. Bradley, A. Khare, Z. Phys. C, 8:131(1981) |
| [49] |
A. Badalian, I. Danilkin, Phys. Atom. Nucl., 72:1206(2009) |
| [50] |
B. Li, K. Chao, Phys. Rev. D, 79:094004(2009) |
| [51] |
A. Badalian, B. Bakker, I. Danilkin, Phys. Atom. Nucl., 72:638(2009) |
| [52] |
K. Chao, Phys. Lett. B, 661:348(2008) |
| [53] |
M. Anwar, Y. Lu, B. Zou, Phys. Rev. D, 95:114031(2017) |
| [54] |
A. Badalian, B. Bakker, Phys. Rev. D, 96:014030(2017) |
| [55] |
Y. Kuang, T. Yan, Phys. Rev. D, 41:155(1990) |
| [56] |
Y. Ding, D. Qin, K. Chao, Phys. Rev. D, 44:3562(1991) |
| [57] |
J. Rosner, Phys. Rev. D, 64:094002(2001) |
| [58] |
K. Liu, K. Chao, Phys. Rev. D, 70:094001(2004) |
| [59] |
V. Novikov, L. Okun, M. Shifman, A. Vainshtein et al, Phys. Rept., 41:1(1978) |
| [60] |
J. Richard, Z. Phys. C, 4:211(1980) |
| [61] |
J. Segovia, D. Entem, F. Fernandez, E. Hernandez, Int. J. Mod. Phys. E, 22:1330026(2013) |
| [62] |
W. Deng, H. Liu, L. Gui, X. Zhong, Phys. Rev. D, 95:034026(2017) and references therein. |
| [63] |
D. Molina, M. Sanctis, C. Fernndez-Ramrez, Phys. Rev. D, 95:094021(2017) |
| [64] |
N. Soni, B. Joshi, R. Shah, H. Chauhan, J. Pandya, Eur. Phys. J. C, 78:592(2018) |
| [65] |
G. Lepage, S. Brodsky, Phys. Rev. D, 22:2157(1980) |
| [66] |
P. Ball, V. Braun, Y. Koike, K. Tanaka, Nucl. Phys. B, 529:323(1998) |
| [67] |
T. Kurimoto, H. Li, A. Sanda, Phys. Rev. D, 65:014007(2001) |
| [68] |
P. Ball, JHEP, 9901:010(1999) |
| [69] |
P. Ball, G. Jones, JHEP, 0703:069(2007) |
| [70] |
P. Ball, V. Braun, A. Lenz, JHEP, 0605:004(2006) |
| [71] |
J. Sun, Q. Li, Y. Yang, H. Li, Q. Chang, Z. Zhang, Phys. Rev. D, 92:074028(2015) |
| [72] |
Y. Yang, J. Sun, Y. Guo, Q. Li, J. Huang, Q. Chang, Phys. Lett. B, 751:171(2015) |
| [73] |
J. Sun, Y. Yang, Q. Li, H. Li, Q. Chang, J. Huang, Phys. Lett. B, 752:322(2016) |
| [74] |
J. Sun, J. Gao, Y. Yang, Q. Chang et al, Phys. Rev. D, 96:036010(2017) |
| [75] |
G. Lepage, L. Magnea, C. Nakhleh, U. Magnea, K. Hornbostel, Phys. Rev. D, 46:4052(1992) |
| [76] |
G. Bodwin, E. Braaten, G. Lepage, Phys. Rev. D, 51:1125(1995) |
| [77] |
N. Brambilla, A. Pineda, J. Soto, A. Vairo, Rev. Mod. Phys., 77:1423(2005) |
| [78] |
R. Barbieri, R. Gatto, R. Kgerler, Z. Kunszt, Phys. Lett. B, 57:455(1975) |
| [79] |
R. Barbieri, R. Kgerler, Z. Kunszt, R. Gatto, Nucl. Phys. B, 105:125(1976) |
| [80] |
W. Celmaster, Phys. Rev. D, 19:1517(1979) |
| [81] |
E. Poggio, H. Schnitzer, Phys. Rev. D, 20:1175(1979) |
| [82] |
E. Eichten, K. Gottfried, T. Kinoshita, K. Lane, T. Yan, Phys. Rev. D, 21:203(1980) |
| [83] |
A. Bradley, F. Gault, Z. Phys. C, 5:239(1980) |
| [84] |
J. Erler, Phys. Rev. D, 59:054008(1999) |
| [85] |
C. Chen, Y. Keum, H. Li, Phys. Rev. D, 66:054013(2002) |
| [86] |
Y. Yang, J. Sun, J. Gao, Q. Chang, J. Huang, G. Lu, Int. J. Mod. Phys. A, 31:1650146(2016) |
| [87] |
J. Sun, Y. Yang, J. Huang, G. Lu, Q. Chang, Nucl. Phys. B, 911:890(2016) |
| [88] |
J. Sun, Y. Yang, N. Wang, J. Huang, Q. Chang, Phys. Rev. D, 95:036024(2017) |
| [89] |
B. Xiao, X. Qin, B. Ma, Eur. Phys. J. A, 15:523(2002) |