What can a heavy <inline-formula><tex-math id="M1-3">\begin{document}${{U(1)}_{\bf B-L} \; {Z^\prime}}$\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="CPC-2020-0355_M1-3.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="CPC-2020-0355_M1-3.png"/></alternatives></inline-formula> boson do to the muon <inline-formula><tex-math id="M2">\begin{document}${{(g-2)}_{\mu}}$\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="CPC-2020-0355_M2.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="CPC-2020-0355_M2.png"/></alternatives></inline-formula> anomaly and to a new Higgs boson mass?

[1]
T. Yanagida, Conf. Proc. C 7902131, 95 (1979)
[2]
M. Gell-Mann, P. Ramond, and R. Slansky, Conf. Proc. C 790927, 315 (1979), arXiv:1306.4669
[3]
R. N. Mohapatra and G. Senjanovic, Phys. Rev. Lett. 44, 912 (1980)
[4]
A. Davidson, Phys. Rev. D 20, 776 (1979)
[5]
R. N. Mohapatra and R. E. Marshak, Phys. Rev. Lett. 44, 1316 (1980)
[6]
L. Basso, S. Moretti, and G. M. Pruna, J. Phys. G 39, 025004 (2012), arXiv:1009.4164
[7]
L. Basso, S. Moretti, and G. M. Pruna, JHEP 08, 122 (2011), arXiv:1106.4762
[8]
M. S. Chanowitz, J. R. Ellis, and M. K. Gaillard, Nucl. Phys. B 128, 506 (1977)
[9]
H. Fritzsch and P. Minkowski, Annals Phys. 93, 193 (1975)
[10]
H. Georgi and D. V. Nanopoulos, Phys. Lett. B 82, 392 (1979)
[11]
H. Georgi and D. V. Nanopoulos, Nucl. Phys. B 155, 52 (1979)
[12]
H. Georgi and D. V. Nanopoulos, Nucl. Phys. B 159, 16 (1979)
[13]
Y. Achiman and B. Stech, Phys. Lett. B 77, 389 (1978)
[14]
F. Gursey, P. Ramond, and P. Sikivie, Phys. Lett. B 60, 177 (1976)
[15]
F. Gursey and M. Serdaroglu, Nuovo Cim. A 65, 337 (1981)
[16]
K. Kaneta, Z. Kang, and H.-S. Lee, JHEP 02, 031 (2017), arXiv:1606.09317
[17]
N. Okada and O. Seto, Phys. Rev. D 82, 023507 (2010), arXiv:1002.2525
[18]
N. Okada and S. Okada, Phys. Rev. D 93, 075003 (2016), arXiv:1601.07526
[19]
S. Okada, Adv. High Energy Phys. 2018, 5340935 (2018), arXiv:1803.06793
[20]
M. Fukugita and T. Yanagida, Phys. Lett. B 174, 45 (1986)
[21]
A. Pilaftsis, Phys. Rev. D 56, 5431 (1997), arXiv:hep-ph/9707235
[22]
A. Pilaftsis and T. E. J. Underwood, Nucl. Phys. B 692, 303 (2004), arXiv:hep-ph/0309342
[23]
S. Blanchet, Z. Chacko, S. S. Granor et al., Phys. Rev. D 82, 076008 (2010), arXiv:0904.2174
[24]
P. S. B. Dev, R. N. Mohapatra, and Y. Zhang, JHEP 03, 122 (2018), arXiv:1711.07634
[25]
G. Degrassi, S. Di Vita, J. Elias-Miro et al., JHEP 08, 098 (2012), arXiv:1205.6497
[26]
S. Alekhin, A. Djouadi, and S. Moch, Phys. Lett. B 716, 214 (2012), arXiv:1207.0980
[27]
D. Buttazzo, G. Degrassi, P. P. Giardino et al., JHEP 12, 089 (2013), arXiv:1307.3536
[28]
R. Costa, A. P. Morais, M. O. P. Sampaio et al., Phys. Rev. D 92, 025024 (2015), arXiv:1411.4048
[29]
L. Basso, S. Moretti, and G. M. Pruna, Phys. Rev. D 82, 055018 (2010), arXiv:1004.3039
[30]
V. Barger, P. Langacker, M. McCaskey et al., Phys. Rev. D 79, 015018 (2009), arXiv:0811.0393
[31]
Particle Data Group Collaboration, Phys. Rev. D 98, 030001 (2018)
[32]
Particle Data Group Collaboration, Prog. Theor. Exp. Phys. 2020, 083C01 (2020)
[33]
F. Campanario, H. Czyż, J. Gluza et al., Phys. Rev. D 100, 076004 (2019), arXiv:1903.10197
[34]
A. S. Belyaev, J. E. Camargo-Molina, S. F. King et al., JHEP 06, 142 (2016), arXiv:1605.02072
[35]
J. A. Grifols and A. Mendez, Phys. Rev. D 26, 1809 (1982)
[36]
J. R. Ellis, J. S. Hagelin, and D. V. Nanopoulos, Phys. Lett. B 116, 283 (1982)
[37]
D. A. Kosower, L. M. Krauss, and N. Sakai, Phys. Lett. B 133, 305 (1983)
[38]
T. C. Yuan, R. L. Arnowitt, A. H. Chamseddine et al., Z. Phys. C 26, 407 (1984)
[39]
J. C. Romao, A. Barroso, M. C. Bento et al., Nucl. Phys. B 250, 295 (1985)
[40]
G.-C. Cho, K. Hagiwara, Y. Matsumoto et al., JHEP 11, 068 (2011), arXiv:1104.1769
[41]
N. Okada, S. Raza, and Q. Shafi, Phys. Rev. D 90, 015020 (2014), arXiv:1307.0461
[42]
M. Endo, K. Hamaguchi, T. Kitahara et al., JHEP 11, 013 (2013), arXiv:1309.3065
[43]
I. Gogoladze, F. Nasir, Q. Shafi et al., Phys. Rev. D 90, 035008 (2014), arXiv:1403.2337
[44]
F. Wang, W. Wang, and J. M. Yang, JHEP 06, 079 (2015), arXiv:1504.00505
[45]
A. Czarnecki and W. J. Marciano, Phys. Rev. D 64, 013014 (2001), arXiv:hep-ph/0102122
[46]
T. Appelquist, M. Piai, and R. Shrock, Phys. Lett. B 593, 175 (2004), arXiv:hep-ph/0401114
[47]
Z. Kang and Y. Shigekami, JHEP 11, 049 (2019), arXiv:1905.11018
[48]
M. Lindner, M. Platscher, and F. S. Queiroz, Phys. Rept. 731, 1 (2018), arXiv:1610.06587
[49]
S. Khalil and C. S. Un, Phys. Lett. B 763, 164 (2016), arXiv:1509.05391
[50]
J.-L. Yang, T.-F. Feng, Y.-L. Yan et al., Phys. Rev. D 99, 015002 (2019), arXiv:1812.03860
[51]
J. Cao, J. Lian, L. Meng et al., Anomalous Muon Magnetic Moment in the Inverse Seesaw Extended Next-to-Minimal Supersymmetric Standard Model, arXiv: 1912.10225
[52]
F. F. Deppisch, S. Kulkarni, and W. Liu, Phys. Rev. D 100, 115023 (2019), arXiv:1908.11741
[53]
ATLAS Collaboration, Phys. Lett. B 796, 68 (2019), arXiv:1903.06248
[54]
CMS Collaboration, JHEP 06, 120 (2018), arXiv:1803.06292
[55]
Muon g-2 Collaboration, Muon (g-2) Technical Design Report, arXiv: 1501.06858
[56]
ALEPH, DELPHI, L 3, OP AL, S LD, LEP Electroweak Working Group, SLD Electroweak Group, SLD Heavy Flavour Group Collaboration, Phys. Rept. 427, 257 (2006), arXiv:hep-ex/0509008
[57]
CDF Collaboration, Phys. Rev. Lett. 104, 241801 (2010), arXiv:1004.4946
[58]
S. Khalil, Phys. Rev. D 82, 077702 (2010), arXiv:1004.0013
[59]
F. Staub, SARAH, 0806.0538
[60]
F. Staub, Comput. Phys. Commun. 185, 1773 (2014), arXiv:1309.7223
[61]
W. Porod, Comput. Phys. Commun. 153, 275 (2003), arXiv:hep-ph/0301101
[62]
W. Porod and F. Staub, Comput. Phys. Commun. 183, 2458 (2012), arXiv:1104.1573
[63]
B. W. Lee, C. Quigg, and H. B. Thacker, Phys. Rev. D 16, 1519 (1977)
[64]
R. Coimbra, M. O. P. Sampaio, and R. Santos, Eur. Phys. J. C 73, 2428 (2013), arXiv:1301.2599
[65]
D. C. Kennedy and B. W. Lynn, Nucl. Phys. B 322, 1 (1989)
[66]
M. E. Peskin and T. Takeuchi, Phys. Rev. Lett. 65, 964 (1990)
[67]
I. Maksymyk, C. P. Burgess, and D. London, Phys. Rev. D 50, 529 (1994), arXiv:hep-ph/9306267
[68]
P. Bechtle, O. Brein, S. Heinemeyer et al., Eur. Phys. J. C 74, 2693 (2014), arXiv:1311.0055
[69]
P. Bechtle, S. Heinemeyer, O. Stål et al., Eur. Phys. J. C 74, 2711 (2014), arXiv:1305.1933
[70]
P. Z. Skands et al., JHEP 07, 036 (2004), arXiv:hep-ph/0311123
[71]
J. Alwall, R. Frederix, S. Frixione et al., JHEP 07, 079 (2014), arXiv:1405.0301
[72]
ALEPH, DELPHI, L3, OPAL, LEP Electroweak Working Group Collaboration, A Combination of preliminary electroweak measurements and constraints on the standard model, hep-ex/0612034
[73]
A. Freitas, J. Lykken, S. Kell et al., JHEP 05, 145 (2014), arXiv:1402.7065
[74]
S. M. Barr and A. Zee, Phys. Rev. Lett. 65, 21 (1990)
[75]
V. Ilisie, JHEP 04, 077 (2015), arXiv:1502.04199
[76]
T.-F. Feng and X.-Y. Yang, Nucl. Phys. B 814, 101 (2009), arXiv:0901.1686
[77]
S. Borsanyi et al., Leading-order hadronic vacuum polarization contribution to the muon magnetic momentfrom lattice QCD, arXiv: 2002.12347
[78]
D. Cogollo, F. Freitas, C. S. Pires et al., Deep learnig analysis of the inverse seesaw in a 3-3-1 model at the LHC, arXiv: 2008.03409