Asymmetry <inline-formula><tex-math id="Z-20250707153050">\begin{document}${{\boldsymbol A}_{\boldsymbol{LL}}^{\bf\cos2\boldsymbol\phi}} $\end{document}</tex-math><alternatives><graphic specific-use="online" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="CPC-2025-0218_Z-20250707153050.jpg"/><graphic specific-use="print" xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="CPC-2025-0218_Z-20250707153050.png"/></alternatives></inline-formula> in the polarized proton-proton Drell-Yan process within TMD factorization

[1]
V. Barone, A. Drago, and P. G. Ratcliffe, Phys. Rept. 359, 1 (2002)
[2]
V. Barone, F. Bradamante, and A. Martin, Prog. Part. Nucl. Phys. 65, 267 (2010)
[3]
A. Bacchetta, M. Diehl, K. Goeke et al., JHEP 02, 093 (2007)
[4]
P. J. Mulders and R. D. Tangerman, Nucl. Phys. B 461, 197 (1996)
[5]
D. Boer and P. J. Mulders, Phys. Rev. D 57, 5780 (1998)
[6]
A. Kotzinian, Nucl. Phys. B 441, 234 (1995)
[7]
A. M. Kotzinian and P. J. Mulders, Phys. Lett. B 406, 373 (1997)
[8]
A. Airapetian et al. (HERMES Collaboration), Phys. Rev. Lett. 84, 4047 (2000)
[9]
A. Airapetian et al. (HERMES Collaboration), Phys. Lett. B 562, 182 (2003)
[10]
H. Avakian et al. (CLAS Collaboration), Phys. Rev. Lett. 105, 262002 (2010)
[11]
Z. Lu, B. Q. Ma, and J. She, Phys. Rev. D 84, 034010 (2011)
[12]
J. Zhu and B. Q. Ma, Phys. Lett. B 696, 246 (2011)
[13]
S. Boffi, A. V. Efremov, B. Pasquini et al., Phys. Rev. D 79, 094012 (2009)
[14]
B. Q. Ma, I. Schmidt, and J. J. Yang, Phys. Rev. D 63, 037501 (2001)
[15]
B. Q. Ma, I. Schmidt, and J. J. Yang, Phys. Rev. D 65, 034010 (2002)
[16]
H. Li and Z. Lu, Eur. Phys. J. C 82, 668 (2022)
[17]
J. Zhu and B. Q. Ma, Eur. Phys. J. C 71, 1807 (2011)
[18]
S. Arnold, A. Metz, and M. Schlegel, Phys. Rev. D 79, 034005 (2009)
[19]
S. M. Aybat and T. C. Rogers, Phys. Rev. D 83, 114042 (2011)
[20]
J. C. Collins and T. C. Rogers, Phys. Rev. D 87, 034018 (2013)
[21]
M. G. Echevarría, A. Idilbi, and I. Scimemi, Phys. Lett. B 726, 795 (2013)
[22]
D. Pitonyak, M. Schlegel, and A. Metz, Phys. Rev. D 89, 054032 (2014)
[23]
M. G. Echevarria, A. Idilbi, Z. B. Kang et al., Phys. Rev. D 89, 074013 (2014)
[24]
A. Bacchetta, F. Delcarro, C. Pisano et al., JHEP 06, 051 (2019)
[25]
X. Y. Wang, Z. Lu, and I. Schmidt, JHEP 08, 137 (2017)
[26]
X. Wang and Z. Lu, Phys. Rev. D 97, 054005 (2018)
[27]
H. Li, X. Wang, and Z. Lu, Phys. Rev. D 101, 054013 (2020)
[28]
Z. B. Kang, A. Prokudin, P. Sun et al., Phys. Rev. D 93, 014009 (2016)
[29]
J. C. Collins and D. E. Soper, Nucl. Phys. B 193, 381 (1981)
[30]
J. C. Collins, D. E. Soper, and G. F. Sterman, Nucl. Phys. B 250, 1 (1985)
[31]
J. Collins, Camb. Monogr. Part. Phys. Nucl. Phys. Cosmol. 32, 1 (2011)
[32]
Z. Lu, B. Q. Ma, and J. Zhu, Phys. Rev. D 84, 074036 (2011)
[33]
A. Idilbi, X. d. Ji, J. P. Ma et al., Phys. Rev. D 70, 074021 (2004)
[34]
J. C. Collins and F. Hautmann, Phys. Lett. B 472, 129 (2000)
[35]
Z. B. Kang, B. W. Xiao, and F. Yuan, Phys. Rev. Lett. 107, 152002 (2011)
[36]
M. G. Echevarria, A. Idilbi, and I. Scimemi, Phys. Rev. D 90, 014003 (2014)
[37]
F. Landry, R. Brock, P. M. Nadolsky et al., Phys. Rev. D 67, 073016 (2003)
[38]
C. T. H. Davies, B. R. Webber, and W. J. Stirling, Nucl.Phys.B 256, 413 (1985)
[39]
R. K. Ellis, D. A. Ross, and S. Veseli, Nucl. Phys. B 503, 309 (1997)
[40]
S. M. Aybat, J. C. Collins, J. W. Qiu et al., Phys. Rev. D 85, 034043 (2012)
[41]
P. Sun, J. Isaacson, C. P. Yuan et al., Int. J. Mod. Phys. A 33, 1841006 (2018)
[42]
J. Collins and T. Rogers, Phys. Rev. D 91, 074020 (2015)
[43]
P. M. Nadolsky, D. R. Stump, and C. P. Yuan, Phys. Rev. D 61, 014003 (2000)
[44]
C. A. Aidala, B. Field, L. P. Gamberg et al., Phys. Rev. D 89, 094002 (2014)
[45]
A. V. Konychev and P. M. Nadolsky, Phys. Lett. B 633, 710 (2006)
[46]
A. Bacchetta et al. (MAP Collaboration), JHEP 10, 127 (2022)
[47]
A. Bacchetta et al. (MAP Collaboration), JHEP 08, 232 (2024)
[48]
A. Bacchetta et al. (MAP Collaboration), Phys. Rev. Lett. 135(2), 021904 (2025)
[49]
D. Boer, Phys. Rev. D 60, 014012 (1999)
[50]
X. D. Ji, J. P. Ma, and F. Yuan, Phys. Rev. D 71, 034005 (2005)
[51]
X. D. Ji, J. P. Ma, and F. Yuan, Phys. Lett. B 597, 299 (2004)
[52]
H. Li, X. Wang, and Z. Lu, Phys. Rev. D 104, 034020 (2021)
[53]
J. Collins, L. Gamberg, A. Prokudin et al., Phys. Rev. D 94, 034014 (2016)
[54]
M. G. Echevarria, A. Idilbi, A. Schäfer et al., Eur. Phys. J. C 73, 2636 (2013)
[55]
J. W. Qiu and X. f. Zhang, Phys. Rev. Lett. 86, 2724 (2001)
[56]
A. Bacchetta and A. Prokudin, Nucl. Phys. B 875, 536 (2013)
[57]
A. Prokudin, P. Sun, and F. Yuan, Phys. Lett. B 750, 533 (2015)
[58]
J. Zhou, F. Yuan, and Z. T. Liang, Phys. Rev. D 81, 054008 (2010)
[59]
S. Bastami, H. Avakian, A. V. Efremov et al., JHEP 06, 007 (2019)
[60]
D. Boer, L. Gamberg, B. Musch et al., JHEP 10, 021 (2011)
[61]
H. L. Lai, M. Guzzi, J. Huston et al., Phys. Rev. D 82, 074024 (2010)
[62]
R. L. Jaffe and X. D. Ji, Nucl. Phys. B 375, 527 (1992)
[63]
D. de Florian, R. Sassot, M. Stratmann et al., Phys. Rev. D 80, 034030 (2009)
[64]
M. Botje, Comput. Phys. Commun. 182, 490 (2011)
[65]
J. Zhou, F. Yuan, and Z. T. Liang, Phys. Rev. D 79, 114022 (2009)
[66]
Z. B. Kang and J. W. Qiu, Phys. Rev. D 79, 016003 (2009)
[67]
G. Bunce, N. Saito, J. Soffer et al., Ann. Rev. Nucl. Part. Sci. 50, 525 (2000)
[68]
V. M. Abazov et al. (SPD proto Collaboration), arXiv: 2102.00442