Large leptonic Dirac CP phase from broken democracy with random perturbations

Ge, Shao-Feng; Kusenko, Alexander; Yanagida, Tsutomu T.

doi:10.1016/j.physletb.2018.04.040

Title: Large leptonic Dirac CP phase from broken democracy with random perturbations

Abstract

A large value of the leptonic Dirac CP phase can arise from broken democracy, where the mass matrices are democratic up to small random perturbations. Such perturbations are a natural consequence of broken residual $S_{3}$ symmetries that dictate the democratic mass matrices at leading order. With random perturbations, the leptonic Dirac CP phase has a higher probability to attain a value around $\pm π / 2$ . Comparing with the anarchy model, broken democracy can benefit from residual $S_{3}$ symmetries, and it can produce much better, realistic predictions for the mass hierarchy, mixing angles, and Dirac CP phase in both quark and lepton sectors. Our approach provides a general framework for a class of models in which a residual symmetry determines the general features at leading order, and where, in the absence of other fundamental principles, the symmetry breaking appears in the form of random perturbations.

Authors:

; Kusenko, Alexander; Yanagida, Tsutomu T.

Publication Date:: 2018-06-01

Research Org.:: Univ. of California, Los Angeles, CA (United States); Univ. of Tokyo, Kashiwa (Japan)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP); Ministry of Education, Culture, Sports, Science and Technology (MEXT) (Japan); Japan Society for the Promotion of Science (JSPS)

OSTI Identifier:: 1434567

Alternate Identifier(s):: OSTI ID: 1499171

Grant/Contract Number:: SC0009937; JP18K13536; 26104001; 26104009; 16H02176; 17H02878

Resource Type:: Published Article

Journal Name:: Physics Letters B

Additional Journal Information:: Journal Name: Physics Letters B Journal Volume: 781 Journal Issue: C; Journal ID: ISSN 0370-2693

Publisher:: Elsevier

Country of Publication:: Netherlands

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Ge, Shao-Feng, Kusenko, Alexander, and Yanagida, Tsutomu T. Large leptonic Dirac CP phase from broken democracy with random perturbations.  Netherlands: N. p., 2018. 
Web.  doi:10.1016/j.physletb.2018.04.040.

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                    Ge, Shao-Feng, Kusenko, Alexander, & Yanagida, Tsutomu T. Large leptonic Dirac CP phase from broken democracy with random perturbations.  Netherlands.  https://doi.org/10.1016/j.physletb.2018.04.040

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                    Ge, Shao-Feng, Kusenko, Alexander, and Yanagida, Tsutomu T. Fri .  
"Large leptonic Dirac CP phase from broken democracy with random perturbations".  Netherlands.  https://doi.org/10.1016/j.physletb.2018.04.040.

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@article{osti_1434567,

  title        = {Large leptonic Dirac CP phase from broken democracy with random perturbations},

  author       = {Ge, Shao-Feng and Kusenko, Alexander and Yanagida, Tsutomu T.},

  abstractNote = {A large value of the leptonic Dirac CP phase can arise from broken democracy, where the mass matrices are democratic up to small random perturbations. Such perturbations are a natural consequence of broken residual S3 symmetries that dictate the democratic mass matrices at leading order. With random perturbations, the leptonic Dirac CP phase has a higher probability to attain a value around ±π/2. Comparing with the anarchy model, broken democracy can benefit from residual S3 symmetries, and it can produce much better, realistic predictions for the mass hierarchy, mixing angles, and Dirac CP phase in both quark and lepton sectors. Our approach provides a general framework for a class of models in which a residual symmetry determines the general features at leading order, and where, in the absence of other fundamental principles, the symmetry breaking appears in the form of random perturbations.},

  doi          = {10.1016/j.physletb.2018.04.040},

  journal      = {Physics Letters B},

  number       = C,

  volume       = 781,

  place        = {Netherlands},

  year         = {2018},

  month        = {6}

}

Copy to clipboard

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Cited by: 7 works

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Figures / Tables:

Fig. 1. : The prediction of the charged lepton masses (Left), the neutrino mixing angles (Middle), and the leptonic Dirac CP phase $\delta$_D (Right) by random perturbations to the democratic mass matrix. While the phases$\phi$_{$i j$} are randomly sampled in the whole range [0, 2$π$ ], the deviation magnitudes aremore »

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Works referenced in this record:

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Title: Large leptonic Dirac CP phase from broken democracy with random perturbations

Abstract

Citation Formats

Figures / Tables:

Flavour democracy and the lepton-quark hierarchy journal, March 1990

Residual Symmetries for Neutrino Mixing with a Large θ 13 and Nearly Maximal δ D journal, January 2012

Hierarchical majorana neutrinos from democratic mass matrices journal, September 2016

Generational mass generation and symmetry breaking journal, September 1990

The breaking of subnuclear democracy as the origin of flavour mixing journal, October 1994

Flavor democracy and type-II seesaw realization of bilarge neutrino mixing journal, November 2004

Generalized hidden Z 2 symmetry of neutrino mixing journal, May 2011

Lepton mass hierarchy and neutrino oscillations journal, April 1996

Lepton mixing and discrete symmetries journal, September 2012

Predictivity of neutrino mass sum rules journal, November 2016

Predicting VCKM with universal strength of Yukawa couplings journal, October 1995

Unique horizontal symmetry of leptons journal, October 2008

NATURALLY PERTURBED S 3 NEUTRINOS journal, April 2013

The Problem of mass journal, November 1977

Neutrino mass sum-rules in flavor symmetry models journal, January 2011

The breaking of flavor democracy in the quark sector journal, September 2017

The symmetry behind extended flavour democracy and large leptonic mixing journal, January 2002

Leptogenesis with almost degenerate Majorana neutrinos journal, June 2002

Are lepton flavor mixings in the democratic mass matrix stable against quantum corrections? journal, September 2000

Breaking of the flavor permutational symmetry: Mass textures and the CKM matrix journal, April 1999

Democratic mass matrices from broken O(3)L×O(3)R flavor symmetry journal, September 1999

Determining Horizontal Symmetry from Neutrino Mixing journal, September 2008

Flavor mass and mixing and S 3 symmetry: An S 3 invariant model reasonable to all journal, February 2006

A revisit of the quark mass spectra and flavor mixing based on the S 3 flavor symmetry journal, July 2016

Calculating the Cabibbo angle journal, October 1977

Quark masses and flavor mixing journal, August 1979

Large leptonic flavour mixing and the mass spectrum of leptons journal, November 1998

Discrete symmetries and model-independent patterns of lepton mixing journal, March 2013

Discrete symmetries and mixing of Dirac neutrinos journal, November 2015

Neutrino Mass Anarchy journal, March 2000

Democratic neutrino mixing reexamined journal, September 2004

Implications of the quark mass hierarchy on flavour mixings journal, November 1997

Universal 23 symmetry journal, October 2007

New quark mass matrix based on the BCS form journal, March 1990

The S 3 flavour symmetry: Neutrino masses and mixings: The S 3 flavour symmetry journal, October 2012

Quark masses and cabibbo angles journal, October 1978

Atmospheric neutrino oscillation and a phenomenological lepton mass matrix journal, April 1998

Broken S3 flavor symmetry of leptons and quarks: Mass spectra and flavor mixing patterns journal, June 2010

Broken S 3L × S 3R flavor symmetry and leptonic CP violation journal, October 2017

Baryon- and Lepton-Nonconserving Processes journal, November 1979

Charged lepton mass matrix with democratic family mixing journal, March 1989

Mass and flavor mixing schemes of quarks and leptons journal, January 2000

Anarchy and hierarchy: An approach to study models of fermion masses and mixings journal, February 2001

Flavour democracy and the lepton-quark hierarchy
journal, March 1990

Residual Symmetries for Neutrino Mixing with a Large $θ_{13}$ and Nearly Maximal $δ_{D}$
journal, January 2012

Hierarchical majorana neutrinos from democratic mass matrices
journal, September 2016

Generational mass generation and symmetry breaking
journal, September 1990

The breaking of subnuclear democracy as the origin of flavour mixing
journal, October 1994

Flavor democracy and type-II seesaw realization of bilarge neutrino mixing
journal, November 2004

Generalized hidden $Z_{2}$ symmetry of neutrino mixing
journal, May 2011

Lepton mass hierarchy and neutrino oscillations
journal, April 1996

Lepton mixing and discrete symmetries
journal, September 2012

Predictivity of neutrino mass sum rules
journal, November 2016

Predicting VCKM with universal strength of Yukawa couplings
journal, October 1995

Unique horizontal symmetry of leptons
journal, October 2008

NATURALLY PERTURBED S ₃ NEUTRINOS
journal, April 2013

The Problem of mass
journal, November 1977

Neutrino mass sum-rules in flavor symmetry models
journal, January 2011

The breaking of flavor democracy in the quark sector
journal, September 2017

The symmetry behind extended flavour democracy and large leptonic mixing
journal, January 2002

Leptogenesis with almost degenerate Majorana neutrinos
journal, June 2002

Are lepton flavor mixings in the democratic mass matrix stable against quantum corrections?
journal, September 2000

Breaking of the flavor permutational symmetry: Mass textures and the CKM matrix
journal, April 1999

Democratic mass matrices from broken O(3)L×O(3)R flavor symmetry
journal, September 1999

Determining Horizontal Symmetry from Neutrino Mixing
journal, September 2008

Flavor mass and mixing and $S_{3}$ symmetry: An $S_{3}$ invariant model reasonable to all
journal, February 2006

A revisit of the quark mass spectra and flavor mixing based on the S ₃ flavor symmetry
journal, July 2016

Calculating the Cabibbo angle
journal, October 1977

Quark masses and flavor mixing
journal, August 1979

Large leptonic flavour mixing and the mass spectrum of leptons
journal, November 1998

Discrete symmetries and model-independent patterns of lepton mixing
journal, March 2013

Discrete symmetries and mixing of Dirac neutrinos
journal, November 2015

Neutrino Mass Anarchy
journal, March 2000

Democratic neutrino mixing reexamined
journal, September 2004

Implications of the quark mass hierarchy on flavour mixings
journal, November 1997

Universal 23 symmetry
journal, October 2007

New quark mass matrix based on the BCS form
journal, March 1990

The S ₃ flavour symmetry: Neutrino masses and mixings: The S ₃ flavour symmetry
journal, October 2012

Quark masses and cabibbo angles
journal, October 1978

Atmospheric neutrino oscillation and a phenomenological lepton mass matrix
journal, April 1998

Broken S3 flavor symmetry of leptons and quarks: Mass spectra and flavor mixing patterns
journal, June 2010

Broken S _3L × S _3R flavor symmetry and leptonic CP violation
journal, October 2017

Baryon- and Lepton-Nonconserving Processes
journal, November 1979

Charged lepton mass matrix with democratic family mixing
journal, March 1989

Mass and flavor mixing schemes of quarks and leptons
journal, January 2000

Anarchy and hierarchy: An approach to study models of fermion masses and mixings
journal, February 2001