One-loop expressions for <inline-formula><tex-math id="Z-20260109085118">\begin{document}${H^\pm \rightarrow W^\pm Z} $\end{document}</tex-math></inline-formula> and their implications at muon-TeV colliders

[1]
S. Chatrchyan et al. (CMS), JHEP 07, 143 (2012), arXiv: 1205.5736[hep-ex]
[2]
V. Khachatryan et al. (CMS), JHEP 11, 018 (2015), arXiv: 1508.07774[hep-ex]
[3]
G. Aad et al. (ATLAS), JHEP 09, 004 (2023), arXiv: 2302.11739[hep-ex]
[4]
G. Aad et al. (ATLAS), Eur. Phys. J. C 85(2), 153 (2025), arXiv: 2407.10096[hep-ex]
[5]
G. Aad et al. (ATLAS), JHEP 06, 039 (2012), arXiv: 1204.2760[hep-ex]
[6]
G. Aad et al. (ATLAS), Eur. Phys. J. C 73(6), 2465 (2013), arXiv: 1302.3694[hep-ex]
[7]
G. Aad et al. (ATLAS), JHEP 03, 127 (2016), arXiv: 1512.03704[hep-ex]
[8]
G. Aad et al. (ATLAS), JHEP 06, 145 (2021), arXiv: 2102.10076[hep-ex]
[9]
A. M. Sirunyan et al. (CMS), JHEP 07, 126 (2020), arXiv: 2001.07763[hep-ex]
[10]
G. Aad et al. (ATLAS), Phys. Rev. Lett. 114(23), 231801 (2015), arXiv: 1503.04233[hep-ex]
[11]
M. Aaboud et al. (ATLAS), Phys. Lett. B 787, 68 (2018), arXiv: 1806.01532[hep-ex]
[12]
A. M. Sirunyan et al. (CMS), Eur. Phys. J. C 81(8), 723 (2021), arXiv: 2104.04762[hep-ex]
[13]
A. M. Sirunyan et al. (CMS), JHEP 11, 115 (2018), arXiv: 1808.06575[hep-ex]
[14]
A. M. Sirunyan et al. (CMS), Phys. Rev. D 102(7), 072001 (2020), arXiv: 2005.08900[hep-ex]
[15]
A. Tumasyan et al. (CMS), JHEP 09, 032 (2023), arXiv: 2207.01046[hep-ex]
[16]
G. Aad et al. (ATLAS), JHEP 02, 143 (2025), arXiv: 2411.03969[hep-ex]
[17]
M. Aaboud et al. (ATLAS), JHEP 09, 139 (2018), arXiv: 1807.07915[hep-ex]
[18]
G. Aad et al. (ATLAS), Phys. Rev. D 111(7), 072006 (2025), arXiv: 2412.17584[hep-ex]
[19]
A. M. Sirunyan et al. (CMS), JHEP 07, 142 (2019), arXiv: 1903.04560[hep-ex]
[20]
A. Arhrib, R. Benbrik, S. Moretti et al., Phys. Rev. D 97(7), 075037 (2018), arXiv: 1712.05018[hep-ph]
[21]
A. Arhrib, A. Jueid, and S. Moretti, Phys. Rev. D 98(11), 115006 (2018), arXiv: 1807.11306[hep-ph]
[22]
A. Arhrib, D. Azevedo, R. Benbrik et al., JHEP 10, 209 (2020), arXiv: 1905.02635[hep-ph]
[23]
A. Arhrib, K. Cheung, and C. T. Lu, Phys. Rev. D 102(9), 095026 (2020), arXiv: 1910.02571[hep-ph]
[24]
A. Arhrib, R. Benbrik, H. Harouiz et al., Phys. Rev. D 102(11), 115040 (2020), arXiv: 2003.11108[hep-ph]
[25]
A. Arhrib, R. Benbrik, M. Krab et al., JHEP 10, 073 (2021), arXiv: 2106.13656[hep-ph]
[26]
Y. Wang, A. Arhrib, R. Benbrik et al., JHEP 12, 021 (2021), arXiv: 2107.01451[hep-ph]
[27]
M. Krab, M. Ouchemhou, A. Arhrib et al., Phys. Lett. B 839, 137705 (2023), arXiv: 2210.09416[hep-ph]
[28]
A. Arhrib, M. Krab, and S. Semlali, J. Phys. G 51(11), 115003 (2024), arXiv: 2402.03195[hep-ph]
[29]
A. Arhrib, R. Benbrik, M. Berrouj et al., Phys. Rev. D 111(9), 095026 (2025), arXiv: 2407.01348[hep-ph]
[30]
R. Benbrik, M. Berrouj, M. Boukidi et al., Phys. Lett. B 843, 138024 (2023)
[31]
A. Arhrib, R. Benbrik, M. Boukidi et al., Eur. Phys. J. C 85(1), 2 (2025), arXiv: 2401.16219[hep-ph]
[32]
A. Arhrib, R. Benbrik, M. Boukidi et al., Eur. Phys. J. C 84(10), 1008 (2024), arXiv: 2403.13021[hep-ph]
[33]
R. Benbrik, M. Berrouj, and M. Boukidi, Phys. Rev. D 111(1), 015027 (2025), arXiv: 2408.15985[hep-ph]
[34]
R. Benbrik, M. Berrouj, M. Boukidi et al., Eur. Phys. J. C 85(5), 500 (2025)
[35]
H. E. Logan and Y. Wu, JHEP 11, 121 (2018), arXiv: 1809.09127[hep-ph]
[36]
B. A. Ouazghour, A. Arhrib, K. Cheung et al., Phys. Rev. D 109(11), 115009 (2024), arXiv: 2308.15664[hep-ph]
[37]
B. A. Ouazghour, A. Arhrib, K. Cheung et al., Phys. Rev. D 110(9), 095026 (2024), arXiv: 2408.13952[hep-ph]
[38]
B. A. Ouazghour, A. Arhrib, K. Cheung et al., arXiv: 2506.01554 [hep-ph]
[39]
B. Ait-Ouazghour, A. Arhrib, M. Chabab et al., arXiv: 2508.04493[hep-ph]
[40]
I. Ahmed, A. Quddus, J. Muhammad et al., Chin. Phys. C 49(4), 043101 (2025), arXiv: 2403.20293[hep-ph]
[41]
M. Hashemi and L. Roushandel, Eur. Phys. J. C 84(9), 966 (2024), arXiv: 2310.06519[hep-ph]
[42]
P. Bredt, T. Banno, M. Höfer et al., arXiv: 2509.05421[hep-ph]
[43]
A. Costantini, F. De Lillo, F. Maltoni et al., JHEP 09, 080 (2020), arXiv: 2005.10289[hep-ph]
[44]
R. Capdevilla, D. Curtin, Y. Kahn et al., Phys. Rev. D 105(1), 015028 (2022), arXiv: 2101.10334[hep-ph]
[45]
A. Arhrib, R. Benbrik, and M. Chabab, J. Phys. G 34, 907 (2007), arXiv: 0607182[hep-ph]
[46]
S. Kanemura, Phys. Rev. D 61, 095001 (2000), arXiv: hep-ph/9710237[hep-ph]
[47]
S. Kanemura and Y. Mura, JHEP 10, 041 (2024), arXiv: 2408.06863[hep-ph]
[48]
M. Aiko, S. Kanemura, and K. Sakurai, Nucl. Phys. B 973, 115581 (2021), arXiv: 2108.11868[hep-ph]
[49]
J. Hernandez-Sanchez, M. A. Perez, G. Tavares-Velasco et al., Phys. Rev. D 69, 095008 (2004), arXiv: 0402284 [hep-ph]
[50]
J. E. Barradas Guevara, F. C. Cazarez Bush, A. Cordero Cid et al., J. Phys. G 37, 115008 (2010), arXiv: 1002.2626[hep-ph]
[51]
J. Haller, A. Hoecker, R. Kogler et al., Eur. Phys. J. C 78(8), 675 (2018), arXiv: 1803.01853[hep-ph]
[52]
D. T. Tran, Q. H. M. Pham, K. N. T. Ho et al., arXiv: 2509.08417 [hep-ph]
[53]
G. C. Branco, P. M. Ferreira, L. Lavoura et al., Phys. Rept. 516, 1 (2012), arXiv: 1106.0034[hep-ph]
[54]
M. Aoki, S. Kanemura, K. Tsumura et al., Phys. Rev. D 80, 015017 (2009), arXiv: 0902.4665[hep-ph]
[55]
P. Bechtle, D. Dercks, S. Heinemeyer et al., Eur. Phys. J. C 80(12), 1211 (2020), arXiv: 2006.06007[hep-ph]
[56]
P. Bechtle, S. Heinemeyer, T. Klingl et al., Eur. Phys. J. C 81(2), 145 (2021), arXiv: 2012.09197[hep-ph]
[57]
D. Eriksson, J. Rathsman, and O. Stal, Comput. Phys. Commun. 181, 189 (2010), arXiv: 0902.0851[hep-ph]
[58]
F. Mahmoudi, Comput. Phys. Commun. 180, 1579 (2009), arXiv: 0808.3144[hep-ph]
[59]
A. Denner, Fortsch. Phys. 41, 307 (1993), arXiv: 0709.1075[hep-ph]
[60]
S. Navas et al. (Particle Data Group), Phys. Rev. D 110(3), 030001 (2024)
[61]
T. Hahn, Comput. Phys. Commun. 140, 418 (2001), arXiv: 0012260[hep-ph]
[62]
M. Cacciari, A. Deandrea, G. Montagna et al., EPL 17, 123 (1992)
[63]
M. Skrzypek and S. Jadach, Z. Phys. C 49, 577 (1991)
[64]
M. Skrzypek, Acta Phys. Polon. B 23, 135 (1992)
[65]
G. Belanger, F. Boudjema, J. Fujimoto et al., Phys. Rept. 430, 117 (2006), arXiv: 0308080[hep-ph]
[66]
J. H. Kuhn, A. A. Penin, and V. A. Smirnov, Eur. Phys. J. C 17, 97 (2000), arXiv: 9912503[hep-ph]
[67]
A. F. Zarnecki, Acta Phys. Polon. B 34, 2741 (2003)
[68]
M. Chiesa, B. Mele, and F. Piccinini, Eur. Phys. J. C 84(5), 543 (2024), arXiv: 2109.10109[hep-ph]
[69]
V. I. Telnov, Nucl. Instrum. Meth. A 294, 72 (1990)
[70]
A. Denner and S. Dittmaier, Nucl. Phys. B 734, 62 (2006)
[71]
T. Hahn and M. Perez-Victoria, Comput. Phys. Commun. 118, 153 (1999), arXiv: 9807565[hep-ph]