Generalized Crewther relation and a novel demonstration of the scheme independence of commensurate scale relations up to all orders

[1]
R. J. Crewther, Phys. Rev. Lett. 28, 1421 (1972)
[2]
S. L. Adler, C. G. Callan, Jr., D. J. Gross, and R. Jackiw, Phys. Rev. D 6, 2982 (1972)
[3]
J. D. Bjorken, Phys. Rev. 148, 1467 (1966)
[4]
S. L. Adler, Phys. Rev. D 10, 3714 (1974)
[5]
H. D. Politzer, Phys. Rev. Lett. 30, 1346 (1973)
[6]
D. J. Gross and F. Wilczek, Phys. Rev. Lett. 30, 1343 (1973)
[7]
J. D. Bjorken, Phys. Rev. 163, 1767 (1967)
[8]
J. D. Bjorken, Phys. Rev. D 1, 1376 (1970)
[9]
D. J. Broadhurst and A. L. Kataev, Phys. Lett. B 315, 179 (1993)
[10]
S. J. Brodsky, G. T. Gabadadze, A. L. Kataev et al., Phys. Lett. B 372, 133 (1996)
[11]
R. J. Crewther, Phys. Lett. B 397, 137 (1997)
[12]
G. T. Gabadadze and A. L. Kataev, JETP Lett. 61, 448 (1995)
[13]
V. M. Braun, G. P. Korchemsky, and D. Müller, Prog. Part. Nucl. Phys. 51, 311 (2003)
[14]
D. J. Gross and C. H. Llewellyn Smith, Nucl. Phys. B 14, 337 (1969)
[15]
S. G. Gorishnii, A. L. Kataev, and S. A. Larin, Phys. Lett. B 259, 144 (1991)
[16]
L. R. Surguladze and M. A. Samuel, Phys. Rev. Lett. 66, 560 (1991)
[17]
K. G. Chetyrkin, J. H. Kuhn, and A. Kwiatkowski, Phys. Rep. 277, 189 (1996)
[18]
K. G. Chetyrkin, Phys. Lett. B 391, 402 (1997)
[19]
S. A. Larin and J. A. M. Vermaseren, Phys. Lett. B 259, 345 (1991)
[20]
P. A. Baikov, K. G. Chetyrkin, and J. H. Kuhn, Phys. Rev. Lett. 101, 012002 (2008)
[21]
P. A. Baikov, K. G. Chetyrkin, and J. H. Kuhn, Phys. Rev. Lett. 104, 132004 (2010)
[22]
G. Cvetič and A. L. Kataev, Phys. Rev. D 94, 014006 (2016)
[23]
A. V. Garkusha, A. L. Kataev, and V. S. Molokoedov, JHEP 1802, 161 (2018)
[24]
J. M. Shen, X. G. Wu, Y. Ma, and S. J. Brodsky, Phys. Lett. B 770, 494 (2017)
[25]
P. A. Baikov, K. G. Chetyrkin, and J. H. Kuhn, Nucl. Phys. Proc. Suppl. 205-206, 237 (2010)
[26]
P. A. Baikov, K. G. Chetyrkin, J. H. Kuhn et al., Phys. Lett. B 714, 62 (2012)
[27]
A. Petermann, Helv. Phys. Acta 26, 499 (1953)
[28]
M. Gell-Mann and F. E. Low, Phys. Rev. 95, 1300 (1954)
[29]
C. G. Callan, Jr., Phys. Rev. D 2, 1541 (1970)
[30]
K. Symanzik, Commun. Math. Phys. 18, 227 (1970)
[31]
A. Peterman, Phys. Rept. 53, 157 (1979)
[32]
X. G. Wu, S. J. Brodsky, and M. Mojaza, Prog. Part. Nucl. Phys. 72, 44 (2013)
[33]
X. G. Wu, Y. Ma, S. Q. Wang et al., Rep. Prog. Phys. 78, 126201 (2015)
[34]
S. J. Brodsky and X. G. Wu, Phys. Rev. D 85, 034038 (2012)
[35]
M. Mojaza, S. J. Brodsky, and X. G. Wu, Phys. Rev. Lett. 110, 192001 (2013)
[36]
S. J. Brodsky and X. G. Wu, Phys. Rev. Lett. 109, 042002 (2012)
[37]
S. J. Brodsky, M. Mojaza, and X. G. Wu, Phys. Rev. D 89, 014027 (2014)
[38]
S. J. Brodsky and X. G. Wu, Phys. Rev. D 86, 054018 (2012)
[39]
H. Y. Bi, X. G. Wu, Y. Ma et al., Phys. Lett. B 748, 13 (2015)
[40]
X. G. Wu, S. Q. Wang, and S. J. Brodsky, Front. Phys. 11, 111201 (2016)
[41]
X. C. Zheng, X. G. Wu, S. Q. Wang et al., JHEP 1310, 117 (2013)
[42]
X. G. Wu, J. M. Shen, B. L. Du et al., Prog. Part. Nucl. Phys. 108, 103706 (2019)
[43]
J. M. Shen, X. G. Wu, B. L. Du et al., Phys. Rev. D 95, 094006 (2017)
[44]
D. Boito, M. Jamin, and R. Miravitllas, Phys. Rev. Lett. 117, 152001 (2016)
[45]
X. G. Wu, J. M. Shen, B. L. Du et al., Phys. Rev. D 97, 094030 (2018)
[46]
B. L. Du, X. G. Wu, J. M. Shen et al., Eur. Phys. J. C 79, 182 (2019)
[47]
Q. Yu, X. G. Wu, J. Zeng et al., Eur. Phys. J. C 80, 362 (2020)
[48]
Q. Yu, X. G. Wu, S. Q. Wang et al., Chin. Phys. C 43, 093102 (2019)
[49]
X. D. Huang, X. G. Wu, J. Zeng et al., Phys. Rev. D 101, 114024 (2020)
[50]
H. M. Yu, W. L. Sang, X. D. Huang et al., JHEP 01, 131 (2021)
[51]
J. L. Basdevant, Fortsch. Phys. 20, 283 (1972)
[52]
M. A. Samuel, G. Li, and E. Steinfelds, Phys. Lett. B 323, 188 (1994)
[53]
M. A. Samuel, J. R. Ellis, and M. Karliner, Phys. Rev. Lett. 74, 4380 (1995)
[54]
G. Grunberg, Phys. Lett. B 95, 70 (1980)
[55]
G. Grunberg, Phys. Rev. D 29, 2315 (1984)
[56]
A. Dhar and V. Gupta, Phys. Rev. D 29, 2822 (1984)
[57]
P. A. Baikov, K. G. Chetyrkin, J. H. Kuhn et al., JHEP 1207, 017 (2012)
[58]
M. Beneke and V. M. Braun, Phys. Lett. B 348, 513 (1995)
[59]
M. Neubert, Phys. Rev. D 51, 5924 (1995)
[60]
M. Beneke, Phys. Rep. 317, 1 (1999)
[61]
S. J. Brodsky and H. J. Lu, Phys. Rev. D 51, 3652 (1995)
[62]
M. A. Shifman, A. I. Vainshtein, and V. I. Zakharov, Nucl. Phys. B 147, 385 (1979)
[63]
R. L. Jaffe and M. Soldate, Phys. Rev. D 26, 49 (1982)
[64]
E. V. Shuryak and A. I. Vainshtein, Nucl. Phys. B 199, 451 (1982)
[65]
E. V. Shuryak and A. I. Vainshtein, Nucl. Phys. B 201, 141 (1982)
[66]
X. D. Ji and P. Unrau, Phys. Lett. B 333, 228 (1994)
[67]
V. M. Braun and A. V. Kolesnichenko, Nucl. Phys. B 283, 723 (1987)
[68]
I. I. Balitsky, V. M. Braun, and A. V. Kolesnichenko, Phys. Lett. B 242, 245 (1990)
[69]
G. G. Ross and R. G. Roberts, Phys. Lett. B 322, 425 (1994)
[70]
E. Stein, P. Gornicki, L. Mankiewicz et al., Phys. Lett. B 343, 369 (1995)
[71]
E. Stein, P. Gornicki, L. Mankiewicz et al., Phys. Lett. B 353, 107 (1995)
[72]
A. C. Mattingly and P. M. Stevenson, Phys. Rev. D 49, 437 (1994)
[73]
P. A. Zyla et al. (Particle Data Group), PTEP 2020, 083C01 (2020)
[74]
W. C. Leung et al., Phys. Lett. B 317, 655 (1993)
[75]
P. Z. Quintas et al., Phys. Rev. Lett. 71, 1307 (1993)
[76]
A. L. Kataev and A. V. Sidorov, Phys. Lett. B 331, 179 (1994)