Abstract
In the standard model (SM), the Cabibbo-Kobayashi-Maskawa (CKM) matrix is the only origin of flavor violations (FVs). On the other hand, in general, there are a lot of sources of the FVs in a physics beyond the SM, through the diagonalizing matrices which make Yukawa matrices diagonal. Although most of the diagonalizing matrices are unknown ones, grand unified theories (GUTs) can fix these matrices. In particular, if we consider a GUT model based on the SO(10) group, these diagonalizing matrices are strongly related to each other because of the matter unification. However, this unification causes the problem on the realization of measured SM fermion masses and mixing angles. Up to now, many people showed that supersymmetric (SUSY) threshold corrections can solve this problem, especially unfavorable fermion mass relations. In this paper, we show that how these SUSY threshold corrections affect unknown diagonalizing matrices. Since these contributions are also related to the FVs induced by SUSY particles, we can estimate the maximal effect to the diagonalizing matrices. We found that the (1, 3) and (3, 1) elements of diagonalizing matrices for quarks can be as large as the corresponding mixing angle of the CKM matrix. Moreover, we found that the higher SUSY scale can predict the larger mixing angles, although strong cancellation between the Higgs mass parameters is needed to realize the electroweak symmetry breaking.
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References
ATLAS collaboration, Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC, Phys. Lett. B 716 (2012) 1 [arXiv:1207.7214] [INSPIRE].
CMS collaboration, Observation of a New Boson at a Mass of 125 GeV with the CMS Experiment at the LHC, Phys. Lett. B 716 (2012) 30 [arXiv:1207.7235] [INSPIRE].
N. Cabibbo, Unitary Symmetry and Leptonic Decays, Phys. Rev. Lett. 10 (1963) 531 [INSPIRE].
M. Kobayashi and T. Maskawa, CP Violation in the Renormalizable Theory of Weak Interaction, Prog. Theor. Phys. 49 (1973) 652 [INSPIRE].
L.J. Hall, V.A. Kostelecky and S. Raby, New Flavor Violations in Supergravity Models, Nucl. Phys. B 267 (1986) 415 [INSPIRE].
H. Georgi and S.L. Glashow, Unity of All Elementary Particle Forces, Phys. Rev. Lett. 32 (1974) 438 [INSPIRE].
Super-Kamiokande collaboration, Search for proton decay via p → e+ π0 and p → μ+ π0 in 0.31 megaton·years exposure of the Super-Kamiokande water Cherenkov detector, Phys. Rev. D 95 (2017) 012004 [arXiv:1610.03597] [INSPIRE].
Super-Kamiokande collaboration, Search for nucleon decay into charged antilepton plus meson in 0.316 megaton·years exposure of the Super-Kamiokande water Cherenkov detector, Phys. Rev. D 96 (2017) 012003 [arXiv:1705.07221] [INSPIRE].
Y. Achiman and C. Merten, Large quark rotations, neutrino mixing and proton decay, Nucl. Phys. B 584 (2000) 46 [hep-ph/0004023] [INSPIRE].
Y. Achiman and M. Richter, Gauge mediated proton decay in a renormalizable SUSY SO(10) with realistic mass matrices, Phys. Lett. B 523 (2001) 304 [hep-ph/0107055] [INSPIRE].
J.R. Ellis, D.V. Nanopoulos and J. Walker, Flipping SU(5) out of trouble, Phys. Lett. B 550 (2002) 99 [hep-ph/0205336] [INSPIRE].
N. Maekawa and Y. Muramatsu, Flavor changing nucleon decay, Phys. Lett. B 767 (2017) 398 [arXiv:1601.04789] [INSPIRE].
H. Georgi, The State of the Art — Gauge Theories, AIP Conf. Proc. 23 (1975) 575 [INSPIRE].
H. Fritzsch and P. Minkowski, Unified Interactions of Leptons and Hadrons, Annals Phys. 93 (1975) 193 [INSPIRE].
P. Minkowski, μ → eγ at a Rate of One Out of 109 Muon Decays?, Phys. Lett. 67B (1977) 421 [INSPIRE].
M. Gell-Mann, P. Ramond and R. Slansky, Complex Spinors and Unified Theories, Conf. Proc. C 790927 (1979) 315 [arXiv:1306.4669] [INSPIRE].
T. Yanagida, Horizontal gauge symmetry and masses of neutrinos, Conf. Proc. C 7902131 (1979) 95 [INSPIRE].
S.L. Glashow, The Future of Elementary Particle Physics, NATO Sci. Ser. B 61 (1980) 687 [INSPIRE].
R.N. Mohapatra and G. Senjanović, Neutrino Mass and Spontaneous Parity Nonconservation, Phys. Rev. Lett. 44 (1980) 912 [INSPIRE].
W. Konetschny and W. Kummer, Nonconservation of Total Lepton Number with Scalar Bosons, Phys. Lett. 70B (1977) 433 [INSPIRE].
T.P. Cheng and L.-F. Li, Neutrino Masses, Mixings and Oscillations in SU(2) × U(1) Models of Electroweak Interactions, Phys. Rev. D 22 (1980) 2860 [INSPIRE].
G. Lazarides, Q. Shafi and C. Wetterich, Proton Lifetime and Fermion Masses in an SO(10) Model, Nucl. Phys. B 181 (1981) 287 [INSPIRE].
J. Schechter and J.W.F. Valle, Neutrino Masses in SU(2) × U(1) Theories, Phys. Rev. D 22 (1980) 2227 [INSPIRE].
R.N. Mohapatra and G. Senjanović, Neutrino Masses and Mixings in Gauge Models with Spontaneous Parity Violation, Phys. Rev. D 23 (1981) 165 [INSPIRE].
A.L. Kagan and C.H. Albright, Quark and Lepton Masses in Superstring Type Models with Mirror Families, Phys. Rev. D 38 (1988) 917 [INSPIRE].
T. Banks, Supersymmetry and the Quark Mass Matrix, Nucl. Phys. B 303 (1988) 172 [INSPIRE].
E. Ma, Radiative Quark and Lepton Masses Through Soft Supersymmetry Breaking, Phys. Rev. D 39 (1989) 1922 [INSPIRE].
R. Hempfling, Yukawa coupling unification with supersymmetric threshold corrections, Phys. Rev. D 49 (1994) 6168 [INSPIRE].
L.J. Hall, R. Rattazzi and U. Sarid, The Top quark mass in supersymmetric SO(10) unification, Phys. Rev. D 50 (1994) 7048 [hep-ph/9306309] [INSPIRE].
M. Carena, M. Olechowski, S. Pokorski and C.E.M. Wagner, Electroweak symmetry breaking and bottom-top Yukawa unification, Nucl. Phys. B 426 (1994) 269 [hep-ph/9402253] [INSPIRE].
H. Baer and J. Ferrandis, Supersymmetric SO(10) GUT models with Yukawa unification and a positive mu term, Phys. Rev. Lett. 87 (2001) 211803 [hep-ph/0106352] [INSPIRE].
T. Blazek, R. Dermisek and S. Raby, Predictions for Higgs and supersymmetry spectra from SO(10) Yukawa unification with mu greater than 0, Phys. Rev. Lett. 88 (2002) 111804 [hep-ph/0107097] [INSPIRE].
K. Tobe and J.D. Wells, Revisiting top bottom tau Yukawa unification in supersymmetric grand unified theories, Nucl. Phys. B 663 (2003) 123 [hep-ph/0301015] [INSPIRE].
D. Auto, H. Baer, C. Bal´azs, A. Belyaev, J. Ferrandis and X. Tata, Yukawa coupling unification in supersymmetric models, JHEP 06 (2003) 023 [hep-ph/0302155] [INSPIRE].
M. Albrecht, W. Altmannshofer, A.J. Buras, D. Guadagnoli and D.M. Straub, Challenging SO(10) SUSY GUTs with family symmetries through FCNC processes, JHEP 10 (2007) 055 [arXiv:0707.3954] [INSPIRE].
S. Antusch and M. Spinrath, Quark and lepton masses at the GUT scale including SUSY threshold corrections, Phys. Rev. D 78 (2008) 075020 [arXiv:0804.0717] [INSPIRE].
S. Antusch and M. Spinrath, New GUT predictions for quark and lepton mass ratios confronted with phenomenology, Phys. Rev. D 79 (2009) 095004 [arXiv:0902.4644] [INSPIRE].
A. Crivellin and C. Greub, Two-loop supersymmetric QCD corrections to Higgs-quark-quark couplings in the generic MSSM, Phys. Rev. D 87 (2013) 015013 [Erratum ibid. D 87 (2013) 079901] [arXiv:1210.7453] [INSPIRE].
A. Anandakrishnan, S. Raby and A. Wingerter, Yukawa Unification Predictions for the LHC, Phys. Rev. D 87 (2013) 055005 [arXiv:1212.0542] [INSPIRE].
T. Blazek, S. Raby and S. Pokorski, Finite supersymmetric threshold corrections to CKM matrix elements in the large tan Beta regime, Phys. Rev. D 52 (1995) 4151 [hep-ph/9504364] [INSPIRE].
J. Ferrandis and N. Haba, Supersymmetry breaking as the origin of flavor, Phys. Rev. D 70 (2004) 055003 [hep-ph/0404077] [INSPIRE].
A. Crivellin and U. Nierste, Supersymmetric renormalisation of the CKM matrix and new constraints on the squark mass matrices, Phys. Rev. D 79 (2009) 035018 [arXiv:0810.1613] [INSPIRE].
A. Crivellin, L. Hofer, U. Nierste and D. Scherer, Phenomenological consequences of radiative flavor violation in the MSSM, Phys. Rev. D 84 (2011) 035030 [arXiv:1105.2818] [INSPIRE].
A. Crivellin and U. Nierste, Chirally enhanced corrections to FCNC processes in the generic MSSM, Phys. Rev. D 81 (2010) 095007 [arXiv:0908.4404] [INSPIRE].
A. Crivellin, L. Hofer and J. Rosiek, Complete resummation of chirally-enhanced loop-effects in the MSSM with non-minimal sources of flavor-violation, JHEP 07 (2011) 017 [arXiv:1103.4272] [INSPIRE].
M. Drees, M. Gluck and K. Grassie, A New Class of False Vacua in Low-energy N = 1 Supergravity Theories, Phys. Lett. 157B (1985) 164 [INSPIRE].
J.F. Gunion, H.E. Haber and M. Sher, Charge/Color Breaking Minima and a-Parameter Bounds in Supersymmetric Models, Nucl. Phys. B 306 (1988) 1 [INSPIRE].
H. Komatsu, New Constraints on Parameters in the Minimal Supersymmetric Model, Phys. Lett. B 215 (1988) 323 [INSPIRE].
P. Langacker and N. Polonsky, Implications of Yukawa unification for the Higgs sector in supersymmetric grand unified models, Phys. Rev. D 50 (1994) 2199 [hep-ph/9403306] [INSPIRE].
J.A. Casas, A. Lleyda and C. Muñoz, Strong constraints on the parameter space of the MSSM from charge and color breaking minima, Nucl. Phys. B 471 (1996) 3 [hep-ph/9507294] [INSPIRE].
J.A. Casas and S. Dimopoulos, Stability bounds on flavor violating trilinear soft terms in the MSSM, Phys. Lett. B 387 (1996) 107 [hep-ph/9606237] [INSPIRE].
J.R. Ellis and M.K. Gaillard, Fermion Masses and Higgs Representations in SU(5), Phys. Lett. 88B (1979) 315 [INSPIRE].
Particle Data Group collaboration, Review of Particle Physics, Phys. Rev. D 98 (2018) 030001 [INSPIRE].
K.G. Chetyrkin, J.H. Kuhn and M. Steinhauser, RunDec: A Mathematica package for running and decoupling of the strong coupling and quark masses, Comput. Phys. Commun. 133 (2000) 43 [hep-ph/0004189] [INSPIRE].
H. Arason et al., Renormalization group study of the standard model and its extensions. 1. The Standard model, Phys. Rev. D 46 (1992) 3945 [INSPIRE].
M.E. Machacek and M.T. Vaughn, Two Loop Renormalization Group Equations in a General Quantum Field Theory. 1. Wave Function Renormalization, Nucl. Phys. B 222 (1983) 83 [INSPIRE].
M.E. Machacek and M.T. Vaughn, Two Loop Renormalization Group Equations in a General Quantum Field Theory. 2. Yukawa Couplings, Nucl. Phys. B 236 (1984) 221 [INSPIRE].
M.E. Machacek and M.T. Vaughn, Two Loop Renormalization Group Equations in a General Quantum Field Theory. 3. Scalar Quartic Couplings, Nucl. Phys. B 249 (1985) 70 [INSPIRE].
M.-x. Luo and Y. Xiao, Two loop renormalization group equations in the standard model, Phys. Rev. Lett. 90 (2003) 011601 [hep-ph/0207271] [INSPIRE].
A.V. Bednyakov, A.F. Pikelner and V.N. Velizhanin, Yukawa coupling β-functions in the Standard Model at three loops, Phys. Lett. B 722 (2013) 336 [arXiv:1212.6829] [INSPIRE].
K.G. Chetyrkin and M.F. Zoller, β-function for the Higgs self-interaction in the Standard Model at three-loop level, JHEP 04 (2013) 091 [Erratum ibid. 09 (2013) 155] [arXiv:1303.2890] [INSPIRE].
S. Antusch and V. Maurer, Running quark and lepton parameters at various scales, JHEP 11 (2013) 115 [arXiv:1306.6879] [INSPIRE].
V.K.M. Maurer, Insights into Grand Unified Theories from Current Experimental Data, Ph.D. Thesis, University of Basel (2015) [DOI].
S.P. Martin and M.T. Vaughn, Regularization dependence of running couplings in softly broken supersymmetry, Phys. Lett. B 318 (1993) 331 [hep-ph/9308222] [INSPIRE].
S.P. Martin and M.T. Vaughn, Two loop renormalization group equations for soft supersymmetry breaking couplings, Phys. Rev. D 50 (1994) 2282 [Erratum ibid. D 78 (2008) 039903] [hep-ph/9311340] [INSPIRE].
G.F. Giudice and G. Ridolfi, Constraints on the Minimal N = 1 Supergravity Theory From Electroweak Symmetry Breaking, Z. Phys. C 41 (1988) 447 [INSPIRE].
M. Olechowski and S. Pokorski, Hierarchy of Quark Masses in the Isotopic Doublets in N = 1 Supergravity Models, Phys. Lett. B 214 (1988) 393 [INSPIRE].
B. Ananthanarayan, G. Lazarides and Q. Shafi, Top mass prediction from supersymmetric guts, Phys. Rev. D 44 (1991) 1613 [INSPIRE].
H. Arason et al., Top quark and Higgs mass bounds from a numerical study of superGUTs, Phys. Rev. Lett. 67 (1991) 2933 [INSPIRE].
S. Kelley, J.L. Lopez and D.V. Nanopoulos, Yukawa unification, Phys. Lett. B 274 (1992) 387 [INSPIRE].
F. Gabbiani, E. Gabrielli, A. Masiero and L. Silvestrini, A Complete analysis of FCNC and CP constraints in general SUSY extensions of the standard model, Nucl. Phys. B 477 (1996) 321 [hep-ph/9604387] [INSPIRE].
UTfit collaboration, Constraints on new physics from the quark mixing unitarity triangle, Phys. Rev. Lett. 97 (2006) 151803 [hep-ph/0605213] [INSPIRE].
UTfit collaboration, Model-independent constraints on ∆F = 2 operators and the scale of new physics, JHEP 03 (2008) 049 [arXiv:0707.0636] [INSPIRE].
P. Paradisi, Constraints on SUSY lepton flavor violation by rare processes, JHEP 10 (2005) 006 [hep-ph/0505046] [INSPIRE].
M. Arana-Catania, S. Heinemeyer and M.J. Herrero, New Constraints on General Slepton Flavor Mixing, Phys. Rev. D 88 (2013) 015026 [arXiv:1304.2783] [INSPIRE].
K. Inoue, A. Kakuto, H. Komatsu and S. Takeshita, Low-Energy Parameters and Particle Masses in a Supersymmetric Grand Unified Model, Prog. Theor. Phys. 67 (1982) 1889 [INSPIRE].
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Muramatsu, Y., Shigekami, Y. SUSY threshold corrections to quark and lepton mixing inspired by SO (10) GUT models. J. High Energ. Phys. 2020, 103 (2020). https://doi.org/10.1007/JHEP02(2020)103
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DOI: https://doi.org/10.1007/JHEP02(2020)103