Exploring muonphilic dark matter with the <i>Z</i><sub>2</sub>-even mediator at muon colliders

[1]
V. Trimble, Ann. Rev. Astron. Astrophys. 25, 425 (1987)
[2]
L. Barack, V. Cardoso, S. Nissanke, T. P. Sotiriou, A. Askar, C. Belczynski, G. Bertone, E. Bon, D. Blas and R. Brito, et al., Class. Quant. Grav. 36(14), 143001 (2019), arXiv: 1806.05195[gr-qc]
[3]
A. Arbey and F. Mahmoudi, Prog. Part. Nucl. Phys. 119, 103865 (2021), arXiv: 2104.11488[hep-ph]
[4]
M. Cirelli, A. Strumia and J. Zupan, [arXiv: 2406.01705 [hep-ph]].
[5]
M. Battaglieri, A. Belloni, A. Chou, P. Cushman, B. Echenard, R. Essig, J. Estrada, J. L. Feng, B. Flaugher and P. J. Fox, et al. [arXiv: 1707.04591 [hep-ph]].
[6]
T. Lin, PoS 333, 009 (2019), arXiv: 1904.07915[hep-ph]
[7]
E. G. M. Ferreira, Astron. Astrophys. Rev. 29(1), 7 (2021), arXiv: 2005.03254[astro-ph.CO]
[8]
A. Belenchia, M. Carlesso, Ö. Bayraktar, D. Dequal, I. Derkach, G. Gasbarri, W. Herr, Y. L. Li, M. Rademacher and J. Sidhu, et al., Phys. Rept. 951, 1 (2022), arXiv: 2108.01435[quant-ph]
[9]
C. Pérez de los Heros, Symmetry 12(10), 1648 (2020), arXiv: 2008.11561[astro-ph.HE]
[10]
T. R. Slatyer, SciPost Phys. Lect. Notes 53, 1 (2022), arXiv: 2109.02696[hep-ph]
[11]
I. Cholis, Y. M. Zhong, S. D. McDermott and J. P. Surdutovich, Phys. Rev. D 105(10), 103023 (2022), arXiv: 2112.09706[astro-ph.HE]
[12]
M. Di Mauro and M. W. Winkler, Phys. Rev. D 103(12), 123005 (2021), arXiv: 2101.11027[astro-ph.HE]
[13]
M. Y. Cui, Q. Yuan, Y. L. S. Tsai and Y. Z. Fan, Phys. Rev. Lett. 118(19), 191101 (2017), arXiv: 1610.03840[astro-ph.HE]
[14]
A. Cuoco, M. Krämer and M. Korsmeier, Phys. Rev. Lett. 118(19), 191102 (2017), arXiv: 1610.03071[astro-ph.HE]
[15]
F. Calore, M. Cirelli, L. Derome, Y. Genolini, D. Maurin, P. Salati and P. D. Serpico,, SciPost Phys. 12(5), 163 (2022), arXiv: 2202.03076[hep-ph]
[16]
C. A. Kierans, S. E. Boggs, A. Zoglauer, A. W. Lowell, C. Sleator, J. Beechert, T. J. Brandt, P. Jean, H. Lazar and J. Roberts, et al., Astrophys. J. 895(1), 44 (2020), arXiv: 1912.00110[astro-ph.HE]
[17]
R. G. Cai, Y. C. Ding, X. Y. Yang and Y. F. Zhou, JCAP 03, 057 (2021), arXiv: 2007.11804[astro-ph.CO]
[18]
C. Keith and D. Hooper, Phys. Rev. D 104(6), 063033 (2021), arXiv: 2103.08611[astro-ph.CO]
[19]
E. M. Silich, K. Jahoda, L. Angelini, P. Kaaret, A. Zajczyk, D. M. LaRocca, R. Ringuette and J. Richardson, Astrophys. J. 916(1), 2 (2021), arXiv: 2105.12252[astro-ph.HE]
[20]
D. Hooper and T. R. Slatyer, Phys. Dark Univ. 2, 118 (2013), arXiv: 1302.6589[astro-ph.HE]
[21]
L. Goodenough and D. Hooper, [arXiv: 0910.2998 [hep-ph]].
[22]
D. Hooper and L. Goodenough, Phys. Lett. B 697, 412 (2011), arXiv: 1010.2752[hep-ph]
[23]
A. McDaniel, T. Jeltema, S. Profumo and E. Storm, JCAP 09, 027 (2017), arXiv: 1705.09384[astro-ph.HE]
[24]
T. E. Jeltema and S. Profumo, Mon. Not. Roy. Astron. Soc. 421, 1215 (2012), arXiv: 1108.1407[astro-ph.HE]
[25]
M. Ajello et al. [Fermi-LAT], Astrophys. J. 819(1), 44 (2016), arXiv: 1511.02938[astro-ph.HE]
[26]
J. F. Navarro, C. S. Frenk and S. D. M. White, Astrophys. J. 462, 563 (1996), arXiv: astro-ph/9508025[astro-ph]
[27]
M. J. Dolan, F. Kahlhoefer, C. McCabe and K. Schmidt-Hoberg, JHEP 03, 171 (2015) [erratum: JHEP 07, 103 (2015)] doi: 10.1007/JHEP03(2015)171[arXiv:1412.5174[hep-ph]].
[28]
S. Ipek, D. McKeen and A. E. Nelson, Phys. Rev. D 90(5), 055021 (2014), arXiv: 1404.3716[hep-ph]
[29]
A. Berlin, D. Hooper and S. D. McDermott, Phys. Rev. D 89(11), 115022 (2014), arXiv: 1404.0022[hep-ph]
[30]
A. Alves, S. Profumo, F. S. Queiroz and W. Shepherd, Phys. Rev. D 90(11), 115003 (2014), arXiv: 1403.5027[hep-ph]
[31]
P. Agrawal, B. Batell, D. Hooper and T. Lin, Phys. Rev. D 90(6), 063512 (2014), arXiv: 1404.1373[hep-ph]
[32]
E. Izaguirre, G. Krnjaic and B. Shuve, Phys. Rev. D 90(5), 055002 (2014), arXiv: 1404.2018[hep-ph]
[33]
P. Ko, W. I. Park and Y. Tang, JCAP 09, 013 (2014), arXiv: 1404.5257[hep-ph]
[34]
M. Abdullah, A. DiFranzo, A. Rajaraman, T. M. P. Tait, P. Tanedo and A. M. Wijangco, Phys. Rev. D 90, 035004 (2014), arXiv: 1404.6528[hep-ph]
[35]
A. Martin, J. Shelton and J. Unwin, Phys. Rev. D 90(10), 103513 (2014), arXiv: 1405.0272[hep-ph]
[36]
A. Berlin, P. Gratia, D. Hooper and S. D. McDermott, Phys. Rev. D 90(1), 015032 (2014), arXiv: 1405.5204[hep-ph]
[37]
C. Cheung, M. Papucci, D. Sanford, N. R. Shah and K. M. Zurek, Phys. Rev. D 90(7), 075011 (2014), arXiv: 1406.6372[hep-ph]
[38]
P. Agrawal, B. Batell, P. J. Fox and R. Harnik, JCAP 05, 011 (2015), arXiv: 1411.2592[hep-ph]
[39]
C. Karwin, S. Murgia, T. M. P. Tait, T. A. Porter and P. Tanedo, Phys. Rev. D 95(10), 103005 (2017), arXiv: 1612.05687[hep-ph]
[40]
M. Abdughani, Y. Z. Fan, C. T. Lu, T. P. Tang and Y. L. S. Tsai, JHEP 07, 127 (2022), arXiv: 2111.02946[astro-ph.HE]
[41]
G. Elor, N. L. Rodd, T. R. Slatyer and W. Xue, JCAP 06, 024 (2016), arXiv: 1511.08787[hep-ph]
[42]
M. Di Mauro, Phys. Rev. D 103(6), 063029 (2021), arXiv: 2101.04694[astro-ph.HE]
[43]
R. M. Crocker, N. F. Bell, C. Balazs and D. I. Jones, Phys. Rev. D 81, 063516 (2010), arXiv: 1002.0229[hep-ph]
[44]
M. H. Chan, Astrophys. Space Sci. 362(9), 147 (2017), arXiv: 1707.00388[astro-ph.HE]
[45]
D. Hooper, A. V. Belikov, T. E. Jeltema, T. Linden, S. Profumo and T. R. Slatyer, Phys. Rev. D 86, 103003 (2012), arXiv: 1203.3547[astro-ph.CO]
[46]
Y. Z. Fan, T. P. Tang, Y. L. S. Tsai and L. Wu, Phys. Rev. Lett. 129(9), 091802 (2022), arXiv: 2204.03693[hep-ph]
[47]
Y. Z. Fan, Y. Y. Li, C. T. Lu, X. Y. Luo, T. P. Tang, V. Q. Tran and Y. L. S. Tsai, Phys. Rev. D 111(1), 015046 (2025), arXiv: 2410.00638[hep-ph]
[48]
M. Aguilar et al. [AMS], Phys. Rev. Lett. 117(9), 091103 (2016)
[49]
M. Aguilar et al. [AMS], Phys. Rev. Lett. 122(4), 041102 (2019)
[50]
Z. Bo et al. [PandaX], Phys. Rev. Lett. 134(1), 011805 (2025), arXiv: 2408.00664[hep-ex]
[51]
G. Krnjaic, G. Marques-Tavares, D. Redigolo and K. Tobioka, Phys. Rev. Lett. 124(4), 041802 (2020), arXiv: 1902.07715[hep-ph]
[52]
R. Garani and J. Heeck, Phys. Rev. D 100(3), 035039 (2019), arXiv: 1906.10145[hep-ph]
[53]
B. D. Sáez and K. Ghorbani, Phys. Lett. B 823, 136750 (2021), arXiv: 2107.08945[hep-ph]
[54]
M. Drees and W. Zhao, Phys. Lett. B 827, 136948 (2022), arXiv: 2107.14528[hep-ph]
[55]
T. Hapitas, D. Tuckler and Y. Zhang, Phys. Rev. D 105(1), 016014 (2022), arXiv: 2108.12440[hep-ph]
[56]
D. Borah, M. Dutta, S. Mahapatra and N. Sahu, Phys. Rev. D 105(1), 015029 (2022), arXiv: 2109.02699[hep-ph]
[57]
A. D. Medina, N. I. Mileo, A. Szynkman and S. A. Tanco, Phys. Rev. D 106(7), 075018 (2022), arXiv: 2112.09103[hep-ph]
[58]
J. Heeck and A. Thapa, Eur. Phys. J. C 82(5), 480 (2022), arXiv: 2202.08854[hep-ph]
[59]
S. Baek, J. Kim and P. Ko, JHEP 01, 014 (2025), arXiv: 2204.04889[hep-ph]
[60]
C. A. Manzari, J. Martin Camalich, J. Spinner and R. Ziegler, Phys. Rev. D 108(10), 10 (2023), arXiv: 2307.03143[hep-ph]
[61]
P. Figueroa, G. Herrera and F. Ochoa, Phys. Rev. D 110(9), 095018 (2024), arXiv: 2404.03090[hep-ph]
[62]
H. Li, Z. Liu and N. Song, [arXiv: 2501.06294 [hep-ph]].
[63]
Z. W. Wang, Z. L. Han, F. Huang, Y. Jin and H. Li, Phys. Rev. D 111(9), 095017 (2025), arXiv: 2501.08622[hep-ph]
[64]
T. P. Tang, M. Yang, K. K. Duan, Y. L. S. Tsai and Y. Z. Fan, JCAP 11, 013 (2025), arXiv: 2505.05359[hep-ph]
[65]
N. F. Bell, G. Busoni and A. Ghosh, JCAP 10, 060 (2025), arXiv: 2505.06506[hep-ph]
[66]
B. De, [arXiv: 2509.10939 [hep-ph]].
[67]
J. de Blas et al. [Muon Collider], [arXiv: 2203.07261 [hep-ph]].
[68]
K. M. Black, S. Jindariani, D. Li, F. Maltoni, P. Meade, D. Stratakis, D. Acosta, R. Agarwal, K. Agashe and C. Aimè, et al., JINST 19(02), T02015 (2024), arXiv: 2209.01318[hep-ex]
[69]
C. Accettura, D. Adams, R. Agarwal, C. Ahdida, C. Aimè, N. Amapane, D. Amorim, P. Andreetto, F. Anulli and R. Appleby, et al. Eur. Phys. J. C 83, no.9, 864 (2023) [erratum: Eur. Phys. J. C 84, no.1, 36 (2024)] doi: 10.1140/epjc/s10052-023-11889-x[arXiv:2303.08533[physics.acc-ph]].
[70]
J. M. Cline, G. Dupuis, Z. Liu and W. Xue, JHEP 08, 131 (2014), arXiv: 1405.7691[hep-ph]
[71]
M. Carena, J. Osborne, N. R. Shah and C. E. M. Wagner, Phys. Rev. D 100(5), 055002 (2019), arXiv: 1905.03768[hep-ph]
[72]
J. Koechler and M. Di Mauro, [arXiv: 2508.02775 [hep-ph]].
[73]
Y. Hu, C. Cesarotti and T. R. Slatyer, [arXiv: 2509.08043 [hep-ph]].
[74]
P. A. R. Ade et al. [Planck], Astron. Astrophys. 594, A13 (2016), arXiv: 1502.01589[astro-ph.CO]
[75]
Y. Meng et al. [PandaX-4T], Phys. Rev. Lett. 127(26), 261802 (2021), arXiv: 2107.13438[hep-ex]
[76]
A. Heister et al. [ALEPH], Phys. Lett. B 533, 223 (2002), arXiv: hep-ex/0203020[hep-ex]
[77]
B. Abi et al. [Muon g-2], Phys. Rev. Lett. 126(14), 141801 (2021), arXiv: 2104.03281[hep-ex]
[78]
P. J. Fox, R. Harnik, J. Kopp and Y. Tsai, Phys. Rev. D 84, 014028 (2011), arXiv: 1103.0240[hep-ph]
[79]
P. J. Fox, R. Harnik, J. Kopp and Y. Tsai, Phys. Rev. D 85, 056011 (2012), arXiv: 1109.4398[hep-ph]
[80]
J. P. Lees et al. [BaBar], Phys. Rev. D 94(1), 011102 (2016), arXiv: 1606.03501[hep-ex]
[81]
I. Adachi et al. [Belle-II], Phys. Rev. D 109(11), 112015 (2024), arXiv: 2403.02841[hep-ex]
[82]
Y. M. Andreev et al. [NA64], Phys. Rev. Lett. 132(21), 211803 (2024), arXiv: 2401.01708[hep-ex]
[83]
Y. M. Andreev et al. [NA64], Phys. Rev. D 110(11), 112015 (2024), arXiv: 2409.10128[hep-ex]
[84]
C. Y. Chen, J. Kozaczuk and Y. M. Zhong, JHEP 10, 154 (2018), arXiv: 1807.03790[hep-ph]
[85]
A. Alloul, N. D. Christensen, C. Degrande, C. Duhr and B. Fuks, Comput. Phys. Commun. 185, 2250 (2014), arXiv: 1310.1921[hep-ph]
[86]
J. Alwall, R. Frederix, S. Frixione, V. Hirschi, F. Maltoni, O. Mattelaer, H. S. Shao, T. Stelzer, P. Torrielli and M. Zaro, JHEP 07, 079 (2014), arXiv: 1405.0301[hep-ph]
[87]
T. Sjöstrand, S. Ask, J. R. Christiansen, R. Corke, N. Desai, P. Ilten, S. Mrenna, S. Prestel, C. O. Rasmussen and P. Z. Skands, Comput. Phys. Commun. 191, 159 (2015), arXiv: 1410.3012[hep-ph]
[88]
J. de Favereau et al. [DELPHES 3], JHEP 02, 057 (2014), arXiv: 1307.6346[hep-ex]
[89]
J. P. Delahaye, M. Diemoz, K. Long, B. Mansoulié, N. Pastrone, L. Rivkin, D. Schulte, A. Skrinsky and A. Wulzer, [arXiv: 1901.06150 [physics.acc-ph]].
[90]
K. Long, D. Lucchesi, M. Palmer, N. Pastrone, D. Schulte and V. Shiltsev, Nature Phys. 17(3), 289 (2021), arXiv: 2007.15684[physics.acc-ph]
[91]
A. L. Read, J. Phys. G 28, 2693 (2002)
[92]
A. Arhrib, K. Cheung and C. T. Lu, Phys. Rev. D 102(9), 095026 (2020), arXiv: 1910.02571[hep-ph]
[93]
K. Cheung and C. J. Ouseph, Phys. Rev. D 108(3), 035003 (2023), arXiv: 2303.16514[hep-ph]
[94]
M. Drees, M. Shi and Z. Zhang, Phys. Lett. B 791, 130 (2019), arXiv: 1811.12446[hep-ph]