-
[1]
S. Navas et al. (Particle Data Group Collaboration), Phys. Rev. D 110(3), 030001 (2024)
-
[2]
G. Altarelli and F. Feruglio, Rev. Mod. Phys. 82, 2701 (2010), arXiv: 1002.0211[hep-ph]
-
[3]
H. Ishimori, T. Kobayashi, H. Ohki et al., Prog. Theor. Phys. Suppl. 183, 1 (2010), arXiv: 1003.3552[hep-th]
-
[4]
S. F. King and C. Luhn, Rept. Prog. Phys. 76, 056201 (2013), arXiv: 1301.1340[hep-ph]
-
[5]
S. F. King, A. Merle, S. Morisi et al., New J. Phys. 16, 045018 (2014), arXiv: 1402.4271[hep-ph]
-
[6]
S. F. King, J. Phys. G 42, 123001 (2015), arXiv: 1510.02091[hep-ph]
-
[7]
S. F. King, Prog. Part. Nucl. Phys. 94, 217 (2017), arXiv: 1701.04413[hep-ph]
-
[8]
S. T. Petcov, Eur. Phys. J. C 78(9), 709 (2018), arXiv: 1711.10806[hep-ph]
-
[9]
Z. z. Xing, Phys. Rept. 854, 1 (2020), arXiv: 1909.09610[hep-ph]
-
[10]
F. Feruglio and A. Romanino, Rev. Mod. Phys. 93(1), 015007 (2021), arXiv: 1912.06028[hep-ph]
-
[11]
Y. Almumin, M. C. Chen, M. Cheng et al., Universe 9(12), 512 (2023), arXiv: 2204.08668[hep-ph]
-
[12]
G. J. Ding and J. W. F. Valle, Phys. Rept. 1109, 1 (2025), arXiv: 2402.16963[hep-ph]
-
[13]
F. Feruglio, Are neutrino masses modular forms? pp. 227–266 (2019), arXiv: 1706.08749[hep-ph]
-
[14]
T. Kobayashi and M. Tanimoto, Int. J. Mod. Phys. A 39(09n10), 2441012 (2024), arXiv: 2307.03384[hep-ph]
-
[15]
G. J. Ding and S. F. King, Rept. Prog. Phys. 87(8), 084201 (2024), arXiv: 2311.09282[hep-ph]
-
[16]
G. J. Ding, X. G. Liu, and C. Y. Yao, JHEP 01, 125 (2023), arXiv: 2211.04546[hep-ph]
-
[17]
G. J. Ding, X. G. Liu, J. N. Lu et al., JHEP 11, 083 (2023), arXiv: 2307.14926[hep-ph]
-
[18]
G. J. Ding, E. Lisi, A. Marrone et al., Phys. Rev. D 111(7), 075024 (2025), arXiv: 2409.15823[hep-ph]
-
[19]
M. C. Chen, S. Ramos-Sánchez, and M. Ratz, Phys. Lett. B 801, 135153 (2020), arXiv: 1909.06910[hep-ph]
-
[20]
A. Baur, H. P. Nilles, A. Trautner et al., Phys. Lett. B 795, 7 (2019), arXiv: 1901.03251[hep-th]
-
[21]
A. Baur, H. P. Nilles, A. Trautner et al., Nucl. Phys. B 947, 114737 (2019), arXiv: 1908.00805[hep-th]
-
[22]
H. P. Nilles, S. Ramos-Sánchez, and P. K. S. Vaudrevange, Phys. Lett. B 808, 135615 (2020), arXiv: 2006.03059[hep-th]
-
[23]
H. P. Nilles, S. Ramos-Sánchez, and P. K. S. Vaudrevange, Nucl. Phys. B 966, 115367 (2021), arXiv: 2010.13798[hep-th]
-
[24]
H. P. Nilles, S. Ramos-Sánchez, and P. K. S. Vaudrevange, JHEP 02, 045 (2020), arXiv: 2001.01736[hep-ph]
-
[25]
H. P. Nilles, S. Ramos-Sanchez, and P. K. S. Vaudrevange, Nucl. Phys. B 957, 115098 (2020), arXiv: 2004.05200[hep-ph]
-
[26]
G. J. Ding, S. F. King, C. C. Li et al., JHEP 05, 144 (2023), arXiv: 2303.02071[hep-ph]
-
[27]
C. C. Li and G. J. Ding, JHEP 03, 054 (2024), arXiv: 2308.16901[hep-ph]
-
[28]
C. C. Li, J. N. Lu, and G. J. Ding, JHEP 12, 015 (2024), arXiv: 2405.13460[hep-ph]
-
[29]
M. C. Chen, V. Knapp-Perez, M. Ramos-Hamud et al., Phys. Lett. B 824, 136843 (2022), arXiv: 2108.02240[hep-ph]
-
[30]
J. Lauer, J. Mas, and H. P. Nilles, Phys. Lett. B 226, 251 (1989)
-
[31]
S. Ferrara, D. Lust, A. D. Shapere et al., Phys. Lett. B 225, 363 (1989)
-
[32]
S. Ferrara,. D. Lust, and S. Theisen, Phys. Lett. B 233, 147 (1989)
-
[33]
B. Y. Qu and G. J. Ding, JHEP 08, 136 (2024), arXiv: 2406.02527[hep-ph]
-
[34]
H. Okada and Y. Orikasa, A radiative seesaw in a non-holomorphic modular
flavor symmetry, arXiv: 2501.15748[hep-ph]\begin{document}$S_3$\end{document} -
[35]
B. Kumar and M. K. Das, Int. J. Mod. Phys. A 40(23), 2550090 (2025), arXiv: 2405.10586[hep-ph]
-
[36]
T. Nomura and H. Okada, Phys. Lett. B 868, 139763 (2025), arXiv: 2408.01143[hep-ph]
-
[37]
T. Nomura and H. Okada, Phys. Lett. B 867, 139618 (2025), arXiv: 2412.18095[hep-ph]
-
[38]
T. Kobayashi, H. Okada, and Y. Orikasa, Zee-Babu model in a non-holomorphic modular
symmetry and modular stabilization, arXiv: 2502.12662[hep-ph]\begin{document}$A_4$\end{document} -
[39]
M. A. Loualidi, M. Miskaoui, and S. Nasri, Phys. Rev. D 112(1), 015008 (2025), arXiv: 2503.12594[hep-ph]
-
[40]
B. Kumar and M. K. Das, JHEP 09, 071 (2025), arXiv: 2504.21701[hep-ph]
-
[41]
T. Nomura, H. Okada, and X. Y. Wang, JHEP 09, 163 (2025), arXiv: 2504.21404[hep-ph]
-
[42]
T. Nomura and H. Okada, Neutrino mass model at a three-loop level from a non-holomorphic modular
symmetry, arXiv: 2506.02639[hep-ph]\begin{document}$A_4$\end{document} -
[43]
X. Zhang and Y. Reyimuaji, Phys. Rev. D 112(7), 075050 (2025), arXiv: 2507.06945[hep-ph]
-
[44]
Priya, L. Singh, B. C. Chauhan, and S. Verma, Type-III Seesaw in Non-Holomorphic Modular Symmetry and Leptogenesis, arXiv: 2508.05047[hep-ph]
-
[45]
B. Kumar and M. K. Das, Neutrino phenomenology and Dark matter in a left-right asymmetric model with non-holomorphic modular
group, arXiv: 2509.01205[hep-ph]\begin{document}$A_{4}$\end{document} -
[46]
S. K. Nanda, M. R. Devi, and S. Patra, Non-Holomorphic
Modular Symmetry in Type-I Seesaw: Implications for Neutrino Masses and Leptogenesis, arXiv: 2509.22108[hep-ph]\begin{document}$A_4$\end{document} -
[47]
S. Jangid and H. Okada, A radiative seesaw model in a non-invertible selection rule with the assistance of a non-holomorphic modular
symmetry, arXiv: 2510.17292[hep-ph]\begin{document}$A_4$\end{document} -
[48]
G. J. Ding, J. N. Lu, S. T. Petcov et al., JHEP 01, 191 (2025), arXiv: 2408.15988[hep-ph]
-
[49]
C. C. Li, J. N. Lu, and G. J. Ding, JHEP 12, 189 (2024), arXiv: 2410.24103[hep-ph]
-
[50]
B. Y. Qu, J. N. Lu, and G. J. Ding, Non-holomorphic modular flavor symmetry and odd weight polyharmonic Maaß form, arXiv: 2506.19822[hep-ph]
-
[51]
C. C. Li and G. J. Ding, Lepton models from non-holomorphic
modular flavor symmetry, arXiv: 2509.15183[hep-ph]\begin{document}$A^{\prime}_{5}$\end{document} -
[52]
P. P. Novichkov, J. T. Penedo, S. T. Petcov et al., JHEP 07, 165 (2019), arXiv: 1905.11970[hep-ph]
-
[53]
T. Dent, Phys. Rev. D 64, 056005 (2001), arXiv: hep-ph/0105285
-
[54]
T. Dent, JHEP 12, 028 (2001), arXiv: hep-th/0111024
-
[55]
A. Abusleme et al. (JUNO Collaboration), First measurement of reactor neutrino oscillations at JUNO, arXiv: 2511.14593[hep-ex]
-
[56]
G. J. Ding, S. F. King, and X. G. Liu, JHEP 09, 074 (2019), arXiv: 1907.11714[hep-ph]
-
[57]
G. Altarelli and F. Feruglio, Nucl. Phys. B 741, 215 (2006), arXiv: hep-ph/0512103
-
[58]
I. Esteban, M. C. Gonzalez-Garcia, M. Maltoni et al., JHEP 12, 216 (2024), arXiv: 2410.05380[hep-ph]
-
[59]
P. P. Novichkov, J. T. Penedo, S. T. Petcov et al., JHEP 04, 005 (2019), arXiv: 1811.04933[hep-ph]
-
[60]
S. M. Bilenky, J. Hosek, and S. T. Petcov, Phys. Lett. B 94, 495 (1980)
-
[61]
N. Aghanim et al. (Planck Collaboration), Astron. Astrophys. 641, A6 (2020) [Erratum: Astron. Astrophys. 652, C4 (2021)], arXiv: 1807.06209[astro-ph.CO]
-
[62]
I. Esteban, M. C. Gonzalez-Garcia, M. Maltoni et al., JHEP 09, 178 (2020), arXiv: 2007.14792[hep-ph]
-
[63]
A. Abusleme et al. JUNO Collaboration, Chin. Phys. C 46(12), 123001 (2022), arXiv: 2204.13249[hep-ex]
-
[64]
B. Abi et al. (DUNE Collaboration), Deep Underground Neutrino Experiment (DUNE), Far Detector Technical Design Report, Volume II: DUNE Physics, arXiv: 2002.03005[hep-ex]
-
[65]
M. Archidiacono et al. (Euclid Collaboration), Astron. Astrophys. 693, A58 (2025), arXiv: 2405.06047[astro-ph.CO]
-
[66]
A. A. Esfahani et al. (Project 8 Collaboration), The Project 8 Neutrino Mass Experiment, in Snowmass 2021. 3, (2022), arXiv: 2203.07349[nucl-ex]
-
[67]
S. Abe et al. (KamLAND-Zen Collaboration), Search for Majorana Neutrinos with the Complete KamLAND-Zen Dataset, arXiv: 2406.11438[hep-ex]
-
[68]
N. Abgrall et al. (LEGEND Collaboration), The Large Enriched Germanium Experiment for Neutrinoless
Decay: LEGEND-1000 Preconceptual Design Report, arXiv: 2107.11462[physics.ins-det]\begin{document}$\beta\beta$\end{document} -
[69]
G. Adhikari et al. (nEXO Collaboration), J. Phys. G 49(1), 015104 (2022), arXiv: 2106.16243[nucl-ex]
-
[70]
K. Abe et al. (Hyper-Kamiokande Collaboration), Hyper-Kamiokande Design Report, arXiv: 1805.04163[physics.ins-det]