Abstract
A non-supersymmetric renormalizable SO(10) model is investigated for its viability in explaining the observed fermion masses and mixing parameters along with the baryon asymmetry produced via thermal leptogenesis. The Yukawa sector of the model consists of complex 10H and \( {\overline{126}}_H \) scalars with a Peccei-Quinn like symmetry and it leads to strong correlations among the Yukawa couplings of all the standard model fermions including the couplings and masses of the right-handed (RH) neutrinos. The latter implies the necessity to include the second lightest RH neutrino and flavor effects for the precision computation of leptogenesis. We use the most general density matrix equations to calculate the temperature evolution of flavoured leptonic asymmetry. A simplified analytical solution of these equations, applicable to the RH neutrino spectrum predicted in the model, is also obtained which allows one to fit the observed baryon to photon ratio along with the other fermion mass observables in a numerically efficient way. The analytical and numerical solutions are found to be in agreement within a factor of \( \mathcal{O}(1) \). We find that the successful leptogenesis in this model does not prefer any particular value for leptonic Dirac and Majorana CP phases and the entire range of values of these observables is found to be consistent. The model specifically predicts (a) the lightest neutrino mass \( {m}_{v_1} \) between 2–8 meV, (b) the effective mass of neutrinoless double beta decay mββ between 4–10 meV, and (c) a particular correlation between the Dirac and one of the Majorana CP phases.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
P. Minkowski, μ → eγ at a Rate of One Out of 109 Muon Decays?, Phys. Lett. B 67 (1977) 421 [INSPIRE].
T. Yanagida, Horizontal gauge symmetry and masses of neutrinos, Conf. Proc. C 7902131 (1979) 95 [INSPIRE].
R. N. Mohapatra and G. Senjanović, Neutrino Mass and Spontaneous Parity Nonconservation, Phys. Rev. Lett. 44 (1980) 912 [INSPIRE].
J. Schechter and J. W. F. Valle, Neutrino Masses in SU(2) × U(1) Theories, Phys. Rev. D 22 (1980) 2227 [INSPIRE].
M. Fukugita and T. Yanagida, Baryogenesis Without Grand Unification, Phys. Lett. B 174 (1986) 45 [INSPIRE].
D. Bödeker and W. Buchmüller, Baryogenesis from the weak scale to the grand unification scale, Rev. Mod. Phys. 93 (2021) 035004 [arXiv:2009.07294] [INSPIRE].
P. Di Bari, On the origin of matter in the Universe, Prog. Part. Nucl. Phys. 122 (2022) 103913 [arXiv:2107.13750] [INSPIRE].
Z.-z. Xing and Z.-h. Zhao, The minimal seesaw and leptogenesis models, Rept. Prog. Phys. 84 (2021) 066201 [arXiv:2008.12090] [INSPIRE].
H. Fritzsch and P. Minkowski, Unified Interactions of Leptons and Hadrons, Annals Phys. 93 (1975) 193 [INSPIRE].
M. Gell-Mann, P. Ramond and R. Slansky, Complex Spinors and Unified Theories, Conf. Proc. C 790927 (1979) 315 [arXiv:1306.4669] [INSPIRE].
K. S. Babu and R. N. Mohapatra, Predictive neutrino spectrum in minimal SO(10) grand unification, Phys. Rev. Lett. 70 (1993) 2845 [hep-ph/9209215] [INSPIRE].
B. Bajc, A. Melfo, G. Senjanović and F. Vissani, Yukawa sector in non-supersymmetric renormalizable SO(10), Phys. Rev. D 73 (2006) 055001 [hep-ph/0510139] [INSPIRE].
A. S. Joshipura and K. M. Patel, Fermion Masses in SO(10) Models, Phys. Rev. D 83 (2011) 095002 [arXiv:1102.5148] [INSPIRE].
G. Altarelli and D. Meloni, A non supersymmetric SO(10) grand unified model for all the physics below MGUT, JHEP 08 (2013) 021 [arXiv:1305.1001] [INSPIRE].
A. Dueck and W. Rodejohann, Fits to SO(10) Grand Unified Models, JHEP 09 (2013) 024 [arXiv:1306.4468] [INSPIRE].
D. Meloni, T. Ohlsson and S. Riad, Effects of intermediate scales on renormalization group running of fermion observables in an SO(10) model, JHEP 12 (2014) 052 [arXiv:1409.3730] [INSPIRE].
D. Meloni, T. Ohlsson and S. Riad, Renormalization Group Running of Fermion Observables in an Extended Non-Supersymmetric SO(10) Model, JHEP 03 (2017) 045 [arXiv:1612.07973] [INSPIRE].
K. S. Babu, B. Bajc and S. Saad, Yukawa Sector of Minimal SO(10) Unification, JHEP 02 (2017) 136 [arXiv:1612.04329] [INSPIRE].
T. Ohlsson and M. Pernow, Running of Fermion Observables in Non-Supersymmetric SO(10) Models, JHEP 11 (2018) 028 [arXiv:1804.04560] [INSPIRE].
S. M. Boucenna, T. Ohlsson and M. Pernow, A minimal non-supersymmetric SO(10) model with Peccei-Quinn symmetry, Phys. Lett. B 792 (2019) 251 [Erratum ibid. 797 (2019) 134902] [arXiv:1812.10548] [INSPIRE].
T. Ohlsson and M. Pernow, Fits to Non-Supersymmetric SO(10) Models with Type I and II Seesaw Mechanisms Using Renormalization Group Evolution, JHEP 06 (2019) 085 [arXiv:1903.08241] [INSPIRE].
Daya Bay collaboration, Observation of electron-antineutrino disappearance at Daya Bay, Phys. Rev. Lett. 108 (2012) 171803 [arXiv:1203.1669] [INSPIRE].
RENO collaboration, Observation of Reactor Electron Antineutrino Disappearance in the RENO Experiment, Phys. Rev. Lett. 108 (2012) 191802 [arXiv:1204.0626] [INSPIRE].
W. Buchmüller and M. Plümacher, Baryon asymmetry and neutrino mixing, Phys. Lett. B 389 (1996) 73 [hep-ph/9608308] [INSPIRE].
E. Nezri and J. Orloff, Neutrino oscillations versus leptogenesis in SO(10) models, JHEP 04 (2003) 020 [hep-ph/0004227] [INSPIRE].
F. Buccella, D. Falcone and F. Tramontano, Baryogenesis via leptogenesis in SO(10) models, Phys. Lett. B 524 (2002) 241 [hep-ph/0108172] [INSPIRE].
G. C. Branco, R. Gonzalez Felipe, F. R. Joaquim and M. N. Rebelo, Leptogenesis, CP-violation and neutrino data: What can we learn?, Nucl. Phys. B 640 (2002) 202 [hep-ph/0202030] [INSPIRE].
E. K. Akhmedov, M. Frigerio and A. Y. Smirnov, Probing the seesaw mechanism with neutrino data and leptogenesis, JHEP 09 (2003) 021 [hep-ph/0305322] [INSPIRE].
P. Di Bari and A. Riotto, Successful type-I Leptogenesis with SO(10)-inspired mass relations, Phys. Lett. B 671 (2009) 462 [arXiv:0809.2285] [INSPIRE].
P. Di Bari and A. Riotto, Testing SO(10)-inspired leptogenesis with low energy neutrino experiments, JCAP 04 (2011) 037 [arXiv:1012.2343] [INSPIRE].
F. Buccella, D. Falcone, C. S. Fong, E. Nardi and G. Ricciardi, Squeezing out predictions with leptogenesis from SO(10), Phys. Rev. D 86 (2012) 035012 [arXiv:1203.0829] [INSPIRE].
P. Di Bari, L. Marzola and M. Re Fiorentin, Decrypting SO(10)-inspired leptogenesis, Nucl. Phys. B 893 (2015) 122 [arXiv:1411.5478] [INSPIRE].
C. S. Fong, D. Meloni, A. Meroni and E. Nardi, Leptogenesis in SO(10), JHEP 01 (2015) 111 [arXiv:1412.4776] [INSPIRE].
P. Di Bari and S. F. King, Successful N2 leptogenesis with flavour coupling effects in realistic unified models, JCAP 10 (2015) 008 [arXiv:1507.06431] [INSPIRE].
P. Di Bari and M. Re Fiorentin, A full analytic solution of SO(10)-inspired leptogenesis, JHEP 10 (2017) 029 [arXiv:1705.01935] [INSPIRE].
P. Di Bari and R. Samanta, The SO(10)-inspired leptogenesis timely opportunity, JHEP 08 (2020) 124 [arXiv:2005.03057] [INSPIRE].
O. Vives, Flavor dependence of CP asymmetries and thermal leptogenesis with strong right-handed neutrino mass hierarchy, Phys. Rev. D 73 (2006) 073006 [hep-ph/0512160] [INSPIRE].
P. Di Bari, Seesaw geometry and leptogenesis, Nucl. Phys. B 727 (2005) 318 [hep-ph/0502082] [INSPIRE].
A. Abada, S. Davidson, F.-X. Josse-Michaux, M. Losada and A. Riotto, Flavor issues in leptogenesis, JCAP 04 (2006) 004 [hep-ph/0601083] [INSPIRE].
A. Abada, S. Davidson, A. Ibarra, F. X. Josse-Michaux, M. Losada and A. Riotto, Flavour Matters in Leptogenesis, JHEP 09 (2006) 010 [hep-ph/0605281] [INSPIRE].
E. Nardi, Y. Nir, E. Roulet and J. Racker, The importance of flavor in leptogenesis, JHEP 01 (2006) 164 [hep-ph/0601084] [INSPIRE].
G. Engelhard, Y. Grossman, E. Nardi and Y. Nir, The importance of N2 leptogenesis, Phys. Rev. Lett. 99 (2007) 081802 [hep-ph/0612187] [INSPIRE].
P. Di Bari and L. Marzola, SO(10)-inspired solution to the problem of the initial conditions in leptogenesis, Nucl. Phys. B 877 (2013) 719 [arXiv:1308.1107] [INSPIRE].
M. Chianese and P. Di Bari, Strong thermal SO(10)-inspired leptogenesis in the light of recent results from long-baseline neutrino experiments, JHEP 05 (2018) 073 [arXiv:1802.07690] [INSPIRE].
S. Blanchet, P. Di Bari, D. A. Jones and L. Marzola, Leptogenesis with heavy neutrino flavours: from density matrix to Boltzmann equations, JCAP 01 (2013) 041 [arXiv:1112.4528] [INSPIRE].
S. Bertolini, L. Di Luzio and M. Malinsky, On the vacuum of the minimal nonsupersymmetric SO(10) unification, Phys. Rev. D 81 (2010) 035015 [arXiv:0912.1796] [INSPIRE].
S. Bertolini, L. Di Luzio and M. Malinsky, Intermediate mass scales in the non-supersymmetric SO(10) grand unification: A Reappraisal, Phys. Rev. D 80 (2009) 015013 [arXiv:0903.4049] [INSPIRE].
R. D. Peccei and H. R. Quinn, CP Conservation in the Presence of Instantons, Phys. Rev. Lett. 38 (1977) 1440 [INSPIRE].
W. Buchmüller and K. M. Patel, Flavor physics without flavor symmetries, Phys. Rev. D 97 (2018) 075019 [arXiv:1712.06862] [INSPIRE].
T. E. Clark, T.-K. Kuo and N. Nakagawa, A SO(10) Supersymmetric Grand Unified Theory, Phys. Lett. B 115 (1982) 26 [INSPIRE].
C. S. Aulakh and R. N. Mohapatra, Implications of Supersymmetric SO(10) Grand Unification, Phys. Rev. D 28 (1983) 217 [INSPIRE].
C. S. Aulakh, B. Bajc, A. Melfo, G. Senjanović and F. Vissani, The minimal supersymmetric grand unified theory, Phys. Lett. B 588 (2004) 196 [hep-ph/0306242] [INSPIRE].
M. Beneke, B. Garbrecht, C. Fidler, M. Herranen and P. Schwaller, Flavoured Leptogenesis in the CTP Formalism, Nucl. Phys. B 843 (2011) 177 [arXiv:1007.4783] [INSPIRE].
M. Laine and M. E. Shaposhnikov, A remark on sphaleron erasure of baryon asymmetry, Phys. Rev. D 61 (2000) 117302 [hep-ph/9911473] [INSPIRE].
W. Buchmüller, P. Di Bari and M. Plümacher, Leptogenesis for pedestrians, Annals Phys. 315 (2005) 305 [hep-ph/0401240] [INSPIRE].
S. Antusch, P. Di Bari, D. A. Jones and S. F. King, Leptogenesis in the Two Right-Handed Neutrino Model Revisited, Phys. Rev. D 86 (2012) 023516 [arXiv:1107.6002] [INSPIRE].
S. Antusch, P. Di Bari, D. A. Jones and S. F. King, A fuller flavour treatment of N2-dominated leptogenesis, Nucl. Phys. B 856 (2012) 180 [arXiv:1003.5132] [INSPIRE].
V. S. Mummidi, V. P. K. and K. M. Patel, Effects of heavy neutrinos on vacuum stability in two-Higgs-doublet model with GUT scale supersymmetry, JHEP 08 (2018) 134 [arXiv:1805.08005] [INSPIRE].
V. S. Mummidi and K. M. Patel, Pseudo-Dirac Higgsino dark matter in GUT scale supersymmetry, JHEP 01 (2019) 224 [arXiv:1811.06297] [INSPIRE].
V. Suryanarayana Mummidi and K. M. Patel, Precision unification and Higgsino dark matter in GUT scale supersymmetry, Phys. Rev. D 101 (2020) 115008 [arXiv:2001.01505] [INSPIRE].
I. Esteban, M. C. Gonzalez-Garcia, M. Maltoni, T. Schwetz and A. Zhou, The fate of hints: updated global analysis of three-flavor neutrino oscillations, JHEP 09 (2020) 178 [arXiv:2007.14792] [INSPIRE].
Planck collaboration, Planck 2018 results. I. Overview and the cosmological legacy of Planck, Astron. Astrophys. 641 (2020) A1 [arXiv:1807.06205] [INSPIRE].
Particle Data Group collaboration, Review of Particle Physics, PTEP 2020 (2020) 083C01 [INSPIRE].
S. Bertolini, L. Di Luzio and M. Malinsky, Seesaw Scale in the Minimal Renormalizable SO(10) Grand Unification, Phys. Rev. D 85 (2012) 095014 [arXiv:1202.0807] [INSPIRE].
J. Chakrabortty, R. Maji, S. K. Patra, T. Srivastava and S. Mohanty, Roadmap of left-right models based on GUTs, Phys. Rev. D 97 (2018) 095010 [arXiv:1711.11391] [INSPIRE].
A. Ernst, A. Ringwald and C. Tamarit, Axion Predictions in SO(10) × U(1)PQ Models, JHEP 02 (2018) 103 [arXiv:1801.04906] [INSPIRE].
T. Ohlsson, M. Pernow and E. Sönnerlind, Realizing unification in two different SO(10) models with one intermediate breaking scale, Eur. Phys. J. C 80 (2020) 1089 [arXiv:2006.13936] [INSPIRE].
J. Schwichtenberg, Gauge Coupling Unification without Supersymmetry, Eur. Phys. J. C 79 (2019) 351 [arXiv:1808.10329] [INSPIRE].
K. M. Patel and P. Sharma, Forward-backward asymmetry in top quark production from light colored scalars in SO(10) model, JHEP 04 (2011) 085 [arXiv:1102.4736] [INSPIRE].
B. Bhattacherjee, P. Byakti, A. Kushwaha and S. K. Vempati, Unification with Vector-like fermions and signals at LHC, JHEP 05 (2018) 090 [arXiv:1702.06417] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2109.04050
Rights and permissions
Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Mummidi, V.S., Patel, K.M. Leptogenesis and fermion mass fit in a renormalizable SO(10) model. J. High Energ. Phys. 2021, 42 (2021). https://doi.org/10.1007/JHEP12(2021)042
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP12(2021)042