Abstract
In the context of non-supersymmetric SO(10) models, we analyze the renormalization group equations for the fermions (including neutrinos) from the GUT energy scale down to the electroweak energy scale, explicitly taking into account the effects of an intermediate energy scale induced by a Pati-Salam gauge group. To determine the renormalization group running, we use a numerical minimization procedure based on a nested sampling algorithm that randomly generates the values of 19 model parameters at the GUT scale, evolves them, and finally constructs the values of the physical observables and compares them to the existing experimental data at the electroweak scale. We show that the evolved fermion masses and mixings present sizable deviations from the values obtained without including the effects of the intermediate scale.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
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].
G. Altarelli and D. Meloni, A non supersymmetric SO(10) grand unified model for all the physics below M GUT , JHEP 08 (2013) 021 [arXiv:1305.1001] [INSPIRE].
F. del Aguila and L.E. Ibáñez, Higgs Bosons in SO(10) and Partial Unification, Nucl. Phys. B 177 (1981) 60 [INSPIRE].
J.A. Harvey, D.B. Reiss and P. Ramond, Mass Relations and Neutrino Oscillations in an SO(10) Model, Nucl. Phys. B 199 (1982) 223 [INSPIRE].
R.W. Robinett and J.L. Rosner, Mass Scales in Grand Unified Theories, Phys. Rev. D 26 (1982) 2396 [INSPIRE].
R.N. Mohapatra and G. Senjanović, The Superlight Axion and Neutrino Masses, Z. Phys. C 17 (1983) 53 [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].
N.G. Deshpande, E. Keith and P.B. Pal, Implications of LEP results for SO(10) grand unification, Phys. Rev. D 46 (1993) 2261 [INSPIRE].
K. Matsuda, Y. Koide and T. Fukuyama, Can the SO(10) model with two Higgs doublets reproduce the observed fermion masses?, Phys. Rev. D 64 (2001) 053015 [hep-ph/0010026] [INSPIRE].
K. Matsuda, Y. Koide, T. Fukuyama and H. Nishiura, How far can the SO(10) two Higgs model describe the observed neutrino masses and mixings?, Phys. Rev. D 65 (2002) 033008 [Erratum ibid. D 65 (2002) 079904] [hep-ph/0108202] [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].
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].
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].
A.S. Joshipura and K.M. Patel, Fermion Masses in SO(10) Models, Phys. Rev. D 83 (2011) 095002 [arXiv:1102.5148] [INSPIRE].
A. Dueck and W. Rodejohann, Fits to SO(10) Grand Unified Models, JHEP 09 (2013) 024 [arXiv:1306.4468] [INSPIRE].
J.C. Pati and A. Salam, Lepton Number as the Fourth Color, Phys. Rev. D 10 (1974) 275 [Erratum ibid. D 11 (1975) 703-703] [INSPIRE].
I.G. Koh and S. Rajpoot, Finite N = 2 extended supersymmetric field theories, Phys. Lett. B 135 (1984) 397 [INSPIRE].
D.R.T. Jones, The Two Loop β-function for a G 1 × G 2 Gauge Theory, Phys. Rev. D 25 (1982) 581 [INSPIRE].
Particle Data Group collaboration, C. Amsler et al., Review of Particle Physics, Phys. Lett. B 667 (2008) 1 [INSPIRE].
R.N. Mohapatra and M.K. Parida, Threshold effects on the mass scale predictions in SO(10) models and solar neutrino puzzle, Phys. Rev. D 47 (1993) 264 [hep-ph/9204234] [INSPIRE].
T. Fukuyama and T. Kikuchi, Renormalization group equation of quark lepton mass matrices in the SO(10) model with two Higgs scalars, Mod. Phys. Lett. A 18 (2003) 719 [hep-ph/0206118] [INSPIRE].
C.S. Aulakh and A. Girdhar, SO(10) a la Pati-Salam, Int. J. Mod. Phys. A 20 (2005) 865 [hep-ph/0204097] [INSPIRE].
B. Dutta, Y. Mimura and R.N. Mohapatra, Suppressing proton decay in the minimal SO(10) model, Phys. Rev. Lett. 94 (2005) 091804 [hep-ph/0412105] [INSPIRE].
B. Dutta, Y. Mimura and R.N. Mohapatra, Neutrino mixing predictions of a minimal SO(10) model with suppressed proton decay, Phys. Rev. D 72 (2005) 075009 [hep-ph/0507319] [INSPIRE].
G. Altarelli and G. Blankenburg, Different SO(10) Paths to Fermion Masses and Mixings, JHEP 03 (2011) 133 [arXiv:1012.2697] [INSPIRE].
W. Grimus and L. Lavoura, Renormalization of the neutrino mass operators in the multi-Higgs-doublet standard model, Eur. Phys. J. C 39 (2005) 219 [hep-ph/0409231] [INSPIRE].
T.P. Cheng, E. Eichten and L.-F. Li, Higgs Phenomena in Asymptotically Free Gauge Theories, Phys. Rev. D 9 (1974) 2259 [INSPIRE].
F. Feroz and M.P. Hobson, Multimodal nested sampling: an efficient and robust alternative to MCMC methods for astronomical data analysis, Mon. Not. Roy. Astron. Soc. 384 (2008) 449 [arXiv:0704.3704] [INSPIRE].
F. Feroz, M.P. Hobson and M. Bridges, MultiNest: an efficient and robust Bayesian inference tool for cosmology and particle physics, Mon. Not. Roy. Astron. Soc. 398 (2009) 1601 [arXiv:0809.3437] [INSPIRE].
F. Feroz, M.P. Hobson, E. Cameron and A.N. Pettitt, Importance Nested Sampling and the MultiNest Algorithm, arXiv:1306.2144 [INSPIRE].
J. Skilling, Nested Sampling, AIP Conf. Proc. 735 (2004) 395.
J. Skilling, Nested sampling for general Bayesian computation, Bayesian Anal. 1 (2006) 833.
Z.-z. Xing, H. Zhang and S. Zhou, Updated Values of Running Quark and Lepton Masses, Phys. Rev. D 77 (2008) 113016 [arXiv:0712.1419] [INSPIRE].
M.C. Gonzalez-Garcia, M. Maltoni, J. Salvado and T. Schwetz, Global fit to three neutrino mixing: critical look at present precision, JHEP 12 (2012) 123 [arXiv:1209.3023] [INSPIRE].
F. Capozzi, G.L. Fogli, E. Lisi, A. Marrone, D. Montanino and A. Palazzo, Status of three-neutrino oscillation parameters, circa 2013, Phys. Rev. D 89 (2014) 093018 [arXiv:1312.2878] [INSPIRE].
D.V. Forero, M. Tortola and J.W.F. Valle, Neutrino oscillations refitted, Phys. Rev. D 90 (2014) 093006 [arXiv:1405.7540] [INSPIRE].
M.C. Gonzalez-Garcia, M. Maltoni and T. Schwetz, Updated fit to three neutrino mixing: status of leptonic CP-violation, JHEP 11 (2014) 052 [arXiv:1409.5439] [INSPIRE].
S. Antusch, J. Kersten, M. Lindner, M. Ratz and M.A. Schmidt, Running neutrino mass parameters in see-saw scenarios, JHEP 03 (2005) 024 [hep-ph/0501272] [INSPIRE].
T. Ohlsson and S. Zhou, Renormalization Group Running of Neutrino Parameters, Nature Commun. 5 (2014) 5153 [arXiv:1311.3846] [INSPIRE].
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.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1409.3730
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Meloni, D., Ohlsson, T. & Riad, S. Effects of intermediate scales on renormalization group running of fermion observables in an SO(10) model. J. High Energ. Phys. 2014, 52 (2014). https://doi.org/10.1007/JHEP12(2014)052
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP12(2014)052