Predictions for the Dirac C P -violating phase from sum rules

Delgadillo, Luis A.; Everett, Lisa L.; Ramos, Raymundo; Stuart, Alexander J.

doi:10.1103/PhysRevD.97.095001

Title: Predictions for the Dirac $C P$ -violating phase from sum rules

Abstract

We explore the implications of recent results relating the Dirac CP-violating phase to predicted and measured leptonic mixing angles within a standard set of theoretical scenarios in which charged lepton corrections are responsible for generating a nonzero value of the reactor mixing angle.We employ a full set of leptonic sum rules as required by the unitarity of the lepton mixing matrix, which can be reduced to predictions for the observable mixing angles and the Dirac CP-violating phase in terms of model parameters. These sum rules are investigated within a given set of theoretical scenarios for the neutrino sector diagonalization matrix for several known classes of charged lepton corrections. The results provide explicit maps of the allowed model parameter space within each given scenario and assumed form of charged lepton perturbations.

Authors:: Delgadillo, Luis A.; Everett, Lisa L.; Ramos, Raymundo; Stuart, Alexander J.

Publication Date:: Thu May 03 00:00:00 EDT 2018

Research Org.:: Univ. of Wisconsin, Madison, WI (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1435868

Alternate Identifier(s):: OSTI ID: 1503842

Grant/Contract Number:: SC0017647

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 97 Journal Issue: 9; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Delgadillo, Luis A., Everett, Lisa L., Ramos, Raymundo, and Stuart, Alexander J. Predictions for the Dirac C P -violating phase from sum rules.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevD.97.095001.

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                    Delgadillo, Luis A., Everett, Lisa L., Ramos, Raymundo, & Stuart, Alexander J. Predictions for the Dirac C P -violating phase from sum rules.  United States.  https://doi.org/10.1103/PhysRevD.97.095001

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                    Delgadillo, Luis A., Everett, Lisa L., Ramos, Raymundo, and Stuart, Alexander J. Thu .  
"Predictions for the Dirac C P -violating phase from sum rules".  United States.  https://doi.org/10.1103/PhysRevD.97.095001.

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@article{osti_1435868,

  title        = {Predictions for the Dirac C P -violating phase from sum rules},

  author       = {Delgadillo, Luis A. and Everett, Lisa L. and Ramos, Raymundo and Stuart, Alexander J.},

  abstractNote = {We explore the implications of recent results relating the Dirac CP-violating phase to predicted and measured leptonic mixing angles within a standard set of theoretical scenarios in which charged lepton corrections are responsible for generating a nonzero value of the reactor mixing angle.We employ a full set of leptonic sum rules as required by the unitarity of the lepton mixing matrix, which can be reduced to predictions for the observable mixing angles and the Dirac CP-violating phase in terms of model parameters. These sum rules are investigated within a given set of theoretical scenarios for the neutrino sector diagonalization matrix for several known classes of charged lepton corrections. The results provide explicit maps of the allowed model parameter space within each given scenario and assumed form of charged lepton perturbations.},

  doi          = {10.1103/PhysRevD.97.095001},

  journal      = {Physical Review D},

  number       = 9,

  volume       = 97,

  place        = {United States},

  year         = {Thu May 03 00:00:00 EDT 2018},

  month        = {Thu May 03 00:00:00 EDT 2018}

}

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Works referenced in this record:

Predicting the values of the leptonic CP violation phases in theories with discrete flavour symmetries
journal, March 2015

Petcov, S. T.
Nuclear Physics B, Vol. 892
DOI: 10.1016/j.nuclphysb.2015.01.011

Trimaximal neutrino mixing from vacuum alignment in A 4 and S 4 models
journal, September 2011

King, Stephen F.; Luhn, Christoph
Journal of High Energy Physics, Vol. 2011, Issue 9
DOI: 10.1007/JHEP09(2011)042

<mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math> symmetry prediction for the leptonic Dirac CP phase
journal, August 2011

Ge, Shao-Feng; Dicus, Duane A.; Repko, Wayne W.
Physics Letters B, Vol. 702, Issue 4
DOI: 10.1016/j.physletb.2011.06.096

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

Ge, Shao-Feng; Dicus, Duane A.; Repko, Wayne W.
Physical Review Letters, Vol. 108, Issue 4
DOI: 10.1103/PhysRevLett.108.041801

Minimal see-saw model predicting best fit lepton mixing angles
journal, July 2013

King, Stephen F.
Physics Letters B, Vol. 724, Issue 1-3
DOI: 10.1016/j.physletb.2013.06.013

Icosahedral ( $A_{5}$ ) family symmetry and the golden ratio prediction for solar neutrino mixing
journal, April 2009

Everett, Lisa L.; Stuart, Alexander J.
Physical Review D, Vol. 79, Issue 8
DOI: 10.1103/PhysRevD.79.085005

Review of Particle Physics
journal, October 2016

Olive, K. A.
Chinese Physics C, Vol. 40, Issue 10
DOI: 10.1088/1674-1137/40/10/100001

Solar Neutrino Puzzle: An Oscillation Solution with Maximal Neutrino Mixing
journal, December 1998

Baltz, Anthony J.; Goldhaber, Alfred Scharff; Goldhaber, Maurice
Physical Review Letters, Vol. 81, Issue 26
DOI: 10.1103/PhysRevLett.81.5730

Determining the Dirac CP violation phase in the neutrino mixing matrix from sum rules
journal, May 2015

Girardi, I.; Petcov, S. T.; Titov, A. V.
Nuclear Physics B, Vol. 894
DOI: 10.1016/j.nuclphysb.2015.03.026

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

Dicus, Duane A.; Ge, Shao-Feng; Repko, Wayne W.
Physical Review D, Vol. 83, Issue 9
DOI: 10.1103/PhysRevD.83.093007

Neutrino mass and mixing with discrete symmetry
journal, May 2013

King, Stephen F.; Luhn, Christoph
Reports on Progress in Physics, Vol. 76, Issue 5
DOI: 10.1088/0034-4885/76/5/056201

Symmetries and generalisations of tri-bimaximal neutrino mixing
journal, May 2002

Harrison, P. F.; Scott, W. G.
Physics Letters B, Vol. 535, Issue 1-4
DOI: 10.1016/S0370-2693(02)01753-7

A maximal atmospheric mixing from a maximal CP violating phase
journal, February 2006

Masina, Isabella
Physics Letters B, Vol. 633, Issue 1
DOI: 10.1016/j.physletb.2005.10.097

Nearly tri-bimaximal neutrino mixing and CP violation from <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>μ</mml:mi><mml:mtext>–</mml:mtext><mml:mi>τ</mml:mi></mml:math> symmetry breaking
journal, October 2006

Xing, Zhi-zhong; Zhang, He; Zhou, Shun
Physics Letters B, Vol. 641, Issue 2
DOI: 10.1016/j.physletb.2006.08.045

Testing solar lepton mixing sum rules in neutrino oscillation experiments
journal, December 2014

Ballett, Peter; King, Stephen F.; Luhn, Christoph
Journal of High Energy Physics, Vol. 2014, Issue 12
DOI: 10.1007/JHEP12(2014)122

Possible alternatives to tri-bimaximal mixing
journal, November 2010

Albright, Carl H.; Dueck, Alexander; Rodejohann, Werner
The European Physical Journal C, Vol. 70, Issue 4
DOI: 10.1140/epjc/s10052-010-1492-2

Constraints on Oscillation Parameters from $ν_{e}$ Appearance and $ν_{μ}$ Disappearance in NOvA
journal, June 2017

Adamson, P.; Aliaga, L.; Ambrose, D.
Physical Review Letters, Vol. 118, Issue 23
DOI: 10.1103/PhysRevLett.118.231801

Neutrino mass and mixing: from theory to experiment
journal, April 2014

King, Stephen F.; Merle, Alexander; Morisi, Stefano
New Journal of Physics, Vol. 16, Issue 4
DOI: 10.1088/1367-2630/16/4/045018

Predicting neutrino parameters from SO(3) family symmetry and quark-lepton unification
journal, August 2005

King, Stephen F.
Journal of High Energy Physics, Vol. 2005, Issue 08
DOI: 10.1088/1126-6708/2005/08/105

Updated fit to three neutrino mixing: status of leptonic CP violation
journal, November 2014

Gonzalez-Garcia, M. C.; Maltoni, Michele; Schwetz, Thomas
Journal of High Energy Physics, Vol. 2014, Issue 11
DOI: 10.1007/JHEP11(2014)052

Observation of Electron Neutrino Appearance in a Muon Neutrino Beam
journal, February 2014

Abe, K.; Adam, J.; Aihara, H.
Physical Review Letters, Vol. 112, Issue 6
DOI: 10.1103/PhysRevLett.112.061802

Some simple mixing and mass matrices for neutrinos
journal, May 2003

He, Xiao-Gang; Zee, A.
Physics Letters B, Vol. 560, Issue 1-2
DOI: 10.1016/S0370-2693(03)00390-3

Improved measurements of the neutrino mixing angle θ 13 with the Double Chooz detector
journal, October 2014

Abe, Y.; dos Anjos, J. C.; Barriere, J. C.
Journal of High Energy Physics, Vol. 2014, Issue 10
DOI: 10.1007/JHEP10(2014)086

Updated fit to three neutrino mixing: exploring the accelerator-reactor complementarity
journal, January 2017

Esteban, Ivan; Gonzalez-Garcia, M. C.; Maltoni, Michele
Journal of High Energy Physics, Vol. 2017, Issue 1
DOI: 10.1007/JHEP01(2017)087

Oscillations among three neutrino types and $CP$ violation
journal, August 1978

Wolfenstein, L.
Physical Review D, Vol. 18, Issue 3
DOI: 10.1103/PhysRevD.18.958

Bi-maximal mixing of three neutrinos
journal, October 1998

Barger, V.; Pakvasa, S.; Weiler, T. J.
Physics Letters B, Vol. 437, Issue 1-2
DOI: 10.1016/S0370-2693(98)00880-6

Golden ratio prediction for solar neutrino mixing
journal, June 2009

Adulpravitchai, Adisorn; Blum, Alexander; Rodejohann, Werner
New Journal of Physics, Vol. 11, Issue 6
DOI: 10.1088/1367-2630/11/6/063026

Phenomenological consequences of residual <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:msubsup><mml:mrow><mml:mi mathvariant="double-struck">Z</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:msubsup></mml:math> and <mml:math altimg="si2.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:msubsup><mml:mrow><mml:mover accent="true"><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mo>¯</mml:mo></mml:mover></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:msubsup></mml:math> symmetries
journal, February 2014

Hanlon, Andrew D.; Ge, Shao-Feng; Repko, Wayne W.
Physics Letters B, Vol. 729
DOI: 10.1016/j.physletb.2013.12.063

The golden ratio prediction for the solar angle from a natural model with A 5 flavour symmetry
journal, March 2011

Feruglio, Ferruccio; Paris, Alessio
Journal of High Energy Physics, Vol. 2011, Issue 3
DOI: 10.1007/JHEP03(2011)101

Lepton mixing and discrete symmetries
journal, September 2012

Hernandez, D.; Smirnov, A. Yu.
Physical Review D, Vol. 86, Issue 5
DOI: 10.1103/PhysRevD.86.053014

Breaking Tri-Bimaximal Mixing and Large θ13
journal, July 2011

Shimizu, Yusuke; Tanimoto, Morimitsu; Watanabe, Atsushi
Progress of Theoretical Physics, Vol. 126, Issue 1
DOI: 10.1143/PTP.126.81

Observation of Electron-Antineutrino Disappearance at Daya Bay
journal, April 2012

An, F. P.; Bai, J. Z.; Balantekin, A. B.
Physical Review Letters, Vol. 108, Issue 17
DOI: 10.1103/PhysRevLett.108.171803

Sizeable θ 13 from the charged lepton sector in SU(5), (tri-)bimaximal neutrino mixing and Dirac CP violation
journal, November 2011

Marzocca, David; Petcov, Serguey T.; Romanino, Andrea
Journal of High Energy Physics, Vol. 2011, Issue 11
DOI: 10.1007/JHEP11(2011)009

Addressing neutrino mixing models with DUNE and T2HK
journal, April 2018

Agarwalla, Sanjib Kumar; Chatterjee, Sabya Sachi; Petcov, S. T.
The European Physical Journal C, Vol. 78, Issue 4
DOI: 10.1140/epjc/s10052-018-5772-6

Remarks on the Unified Model of Elementary Particles
journal, November 1962

Maki, Ziro; Nakagawa, Masami; Sakata, Shoichi
Progress of Theoretical Physics, Vol. 28, Issue 5
DOI: 10.1143/PTP.28.870

Renormalisation group corrections to neutrino mixing sum rules
journal, November 2016

Gehrlein, J.; Petcov, S. T.; Spinrath, M.
Journal of High Energy Physics, Vol. 2016, Issue 11
DOI: 10.1007/JHEP11(2016)146

L/E-flatness of the electron-like event ratio, in Super-Kamiokande and a degeneracy, in neutrino masses
journal, August 1999

Stancu, I.; Ahluwalia, D. V.
Physics Letters B, Vol. 460, Issue 3-4
DOI: 10.1016/S0370-2693(99)00811-4

Tri-bimaximal mixing and the neutrino oscillation data
journal, March 2002

Harrison, P. F.; Perkins, D. H.; Scott, W. G.
Physics Letters B, Vol. 530, Issue 1-4
DOI: 10.1016/S0370-2693(02)01336-9

Predictions for the leptonic Dirac CP violation phase: a systematic phenomenological analysis
journal, July 2015

Girardi, I.; Petcov, S. T.; Titov, A. V.
The European Physical Journal C, Vol. 75, Issue 7
DOI: 10.1140/epjc/s10052-015-3559-6

Erratum to: Improved measurements of the neutrino mixing angle θ 13 with the Double Chooz detector
journal, February 2015

Abe, Y.; dos Anjos, J. C.; Barriere, J. C.
Journal of High Energy Physics, Vol. 2015, Issue 2
DOI: 10.1007/JHEP02(2015)074

Parameterizing the lepton mixing matrix in terms of deviations from tri-bimaximal mixing
journal, January 2008

King, S. F.
Physics Letters B, Vol. 659, Issue 1-2
DOI: 10.1016/j.physletb.2007.10.078

Neutrinos on Earth and in the heavens
journal, April 2000

Georgi, Howard; Glashow, S. L.
Physical Review D, Vol. 61, Issue 9
DOI: 10.1103/PhysRevD.61.097301

Minimal predictive see-saw model with normal neutrino mass hierarchy
journal, July 2013

King, Stephen F.
Journal of High Energy Physics, Vol. 2013, Issue 7
DOI: 10.1007/JHEP07(2013)137

Trimaximal mixing with predicted <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mi>θ</mml:mi><mml:mn>13</mml:mn></mml:msub></mml:math> from a new type of constrained sequential dominance
journal, March 2012

Antusch, Stefan; King, Stephen F.; Luhn, Christoph
Nuclear Physics B, Vol. 856, Issue 2
DOI: 10.1016/j.nuclphysb.2011.11.009

Observation of Reactor Electron Antineutrinos Disappearance in the RENO Experiment
journal, May 2012

Ahn, J. K.; Chebotaryov, S.; Choi, J. H.
Physical Review Letters, Vol. 108, Issue 19
DOI: 10.1103/PhysRevLett.108.191802

Charged lepton corrections to neutrino mixing angles and CP phases revisited
journal, December 2005

Antusch, S.; King, S. F.
Physics Letters B, Vol. 631, Issue 1-2
DOI: 10.1016/j.physletb.2005.09.075

Leptonic Dirac CP violation predictions from residual discrete symmetries
journal, January 2016

Girardi, I.; Petcov, S. T.; Stuart, Alexander J.
Nuclear Physics B, Vol. 902
DOI: 10.1016/j.nuclphysb.2015.10.020

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

Hernandez, D.; Smirnov, A. Yu.
Physical Review D, Vol. 87, Issue 5
DOI: 10.1103/PhysRevD.87.053005

Nonzero |U e3| from charged lepton corrections and the atmospheric neutrino mixing angle
journal, May 2013

Marzocca, David; Petcov, S. T.; Romanino, Andrea
Journal of High Energy Physics, Vol. 2013, Issue 5
DOI: 10.1007/JHEP05(2013)073

Correlated hierarchy, Dirac masses and large mixing angles
journal, November 2003

Datta, Aseshkrishna; Ling, Fu-Sin; Ramond, Pierre
Nuclear Physics B, Vol. 671
DOI: 10.1016/j.nuclphysb.2003.08.026

Testing atmospheric mixing sum rules at precision neutrino facilities
journal, January 2014

Ballett, Peter; King, Stephen F.; Luhn, Christoph
Physical Review D, Vol. 89, Issue 1
DOI: 10.1103/PhysRevD.89.016016

A neutrino mass-mixing sum rule from SO(10) and neutrinoless double beta decay
journal, April 2017

Buccella, F.; Chianese, M.; Mangano, G.
Journal of High Energy Physics, Vol. 2017, Issue 4
DOI: 10.1007/JHEP04(2017)004

Unified parametrization for quark and lepton mixing angles
journal, January 2009

Rodejohann, Werner
Physics Letters B, Vol. 671, Issue 2
DOI: 10.1016/j.physletb.2008.12.010

Neutrino mixing sum rules and oscillation experiments
journal, April 2007

Antusch, Stefan; Huber, Patrick; King, Steve F.
Journal of High Energy Physics, Vol. 2007, Issue 04
DOI: 10.1088/1126-6708/2007/04/060

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Title: Predictions for the Dirac C P -violating phase from sum rules

Abstract

Citation Formats

Predicting the values of the leptonic CP violation phases in theories with discrete flavour symmetries journal, March 2015

Trimaximal neutrino mixing from vacuum alignment in A 4 and S 4 models journal, September 2011

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

Minimal see-saw model predicting best fit lepton mixing angles journal, July 2013

Icosahedral ( A 5 ) family symmetry and the golden ratio prediction for solar neutrino mixing journal, April 2009

Review of Particle Physics journal, October 2016

Solar Neutrino Puzzle: An Oscillation Solution with Maximal Neutrino Mixing journal, December 1998

Determining the Dirac CP violation phase in the neutrino mixing matrix from sum rules journal, May 2015

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

Neutrino mass and mixing with discrete symmetry journal, May 2013

Symmetries and generalisations of tri-bimaximal neutrino mixing journal, May 2002

A maximal atmospheric mixing from a maximal CP violating phase journal, February 2006

Testing solar lepton mixing sum rules in neutrino oscillation experiments journal, December 2014

Possible alternatives to tri-bimaximal mixing journal, November 2010

Constraints on Oscillation Parameters from ν e Appearance and ν μ Disappearance in NOvA journal, June 2017

Neutrino mass and mixing: from theory to experiment journal, April 2014

Predicting neutrino parameters from SO(3) family symmetry and quark-lepton unification journal, August 2005

Updated fit to three neutrino mixing: status of leptonic CP violation journal, November 2014

Observation of Electron Neutrino Appearance in a Muon Neutrino Beam journal, February 2014

Some simple mixing and mass matrices for neutrinos journal, May 2003

Improved measurements of the neutrino mixing angle θ 13 with the Double Chooz detector journal, October 2014

Updated fit to three neutrino mixing: exploring the accelerator-reactor complementarity journal, January 2017

Oscillations among three neutrino types and CP violation journal, August 1978

Bi-maximal mixing of three neutrinos journal, October 1998

Golden ratio prediction for solar neutrino mixing journal, June 2009

The golden ratio prediction for the solar angle from a natural model with A 5 flavour symmetry journal, March 2011

Lepton mixing and discrete symmetries journal, September 2012

Breaking Tri-Bimaximal Mixing and Large θ13 journal, July 2011

Observation of Electron-Antineutrino Disappearance at Daya Bay journal, April 2012

Sizeable θ 13 from the charged lepton sector in SU(5), (tri-)bimaximal neutrino mixing and Dirac CP violation journal, November 2011

Addressing neutrino mixing models with DUNE and T2HK journal, April 2018

Remarks on the Unified Model of Elementary Particles journal, November 1962

Renormalisation group corrections to neutrino mixing sum rules journal, November 2016

L/E-flatness of the electron-like event ratio, in Super-Kamiokande and a degeneracy, in neutrino masses journal, August 1999

Tri-bimaximal mixing and the neutrino oscillation data journal, March 2002

Predictions for the leptonic Dirac CP violation phase: a systematic phenomenological analysis journal, July 2015

Erratum to: Improved measurements of the neutrino mixing angle θ 13 with the Double Chooz detector journal, February 2015

Parameterizing the lepton mixing matrix in terms of deviations from tri-bimaximal mixing journal, January 2008

Neutrinos on Earth and in the heavens journal, April 2000

Minimal predictive see-saw model with normal neutrino mass hierarchy journal, July 2013

Observation of Reactor Electron Antineutrinos Disappearance in the RENO Experiment journal, May 2012

Charged lepton corrections to neutrino mixing angles and CP phases revisited journal, December 2005

Leptonic Dirac CP violation predictions from residual discrete symmetries journal, January 2016

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

Nonzero |U e3| from charged lepton corrections and the atmospheric neutrino mixing angle journal, May 2013

Correlated hierarchy, Dirac masses and large mixing angles journal, November 2003

Testing atmospheric mixing sum rules at precision neutrino facilities journal, January 2014

A neutrino mass-mixing sum rule from SO(10) and neutrinoless double beta decay journal, April 2017

Unified parametrization for quark and lepton mixing angles journal, January 2009

Neutrino mixing sum rules and oscillation experiments journal, April 2007

The mass ratios parametrization journal, January 2019

The mass ratios parametrization journal, January 2019

Stitching an asymmetric texture with T 13 × Z 5 family symmetry journal, October 2019

Lepton mixing predictions from S 4 in the tridirect C P approach to two right-handed neutrino models journal, April 2019

Title: Predictions for the Dirac $C P$ -violating phase from sum rules

Predicting the values of the leptonic CP violation phases in theories with discrete flavour symmetries
journal, March 2015

Trimaximal neutrino mixing from vacuum alignment in A 4 and S 4 models
journal, September 2011

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

Minimal see-saw model predicting best fit lepton mixing angles
journal, July 2013

Icosahedral ( $A_{5}$ ) family symmetry and the golden ratio prediction for solar neutrino mixing
journal, April 2009

Review of Particle Physics
journal, October 2016

Solar Neutrino Puzzle: An Oscillation Solution with Maximal Neutrino Mixing
journal, December 1998

Determining the Dirac CP violation phase in the neutrino mixing matrix from sum rules
journal, May 2015

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

Neutrino mass and mixing with discrete symmetry
journal, May 2013

Symmetries and generalisations of tri-bimaximal neutrino mixing
journal, May 2002

A maximal atmospheric mixing from a maximal CP violating phase
journal, February 2006

Testing solar lepton mixing sum rules in neutrino oscillation experiments
journal, December 2014

Possible alternatives to tri-bimaximal mixing
journal, November 2010

Constraints on Oscillation Parameters from $ν_{e}$ Appearance and $ν_{μ}$ Disappearance in NOvA
journal, June 2017

Neutrino mass and mixing: from theory to experiment
journal, April 2014

Predicting neutrino parameters from SO(3) family symmetry and quark-lepton unification
journal, August 2005

Updated fit to three neutrino mixing: status of leptonic CP violation
journal, November 2014

Observation of Electron Neutrino Appearance in a Muon Neutrino Beam
journal, February 2014

Some simple mixing and mass matrices for neutrinos
journal, May 2003

Improved measurements of the neutrino mixing angle θ 13 with the Double Chooz detector
journal, October 2014

Updated fit to three neutrino mixing: exploring the accelerator-reactor complementarity
journal, January 2017

Oscillations among three neutrino types and $CP$ violation
journal, August 1978

Bi-maximal mixing of three neutrinos
journal, October 1998

Golden ratio prediction for solar neutrino mixing
journal, June 2009

The golden ratio prediction for the solar angle from a natural model with A 5 flavour symmetry
journal, March 2011

Lepton mixing and discrete symmetries
journal, September 2012

Breaking Tri-Bimaximal Mixing and Large θ13
journal, July 2011

Observation of Electron-Antineutrino Disappearance at Daya Bay
journal, April 2012

Sizeable θ 13 from the charged lepton sector in SU(5), (tri-)bimaximal neutrino mixing and Dirac CP violation
journal, November 2011

Addressing neutrino mixing models with DUNE and T2HK
journal, April 2018

Remarks on the Unified Model of Elementary Particles
journal, November 1962

Renormalisation group corrections to neutrino mixing sum rules
journal, November 2016

L/E-flatness of the electron-like event ratio, in Super-Kamiokande and a degeneracy, in neutrino masses
journal, August 1999

Tri-bimaximal mixing and the neutrino oscillation data
journal, March 2002

Predictions for the leptonic Dirac CP violation phase: a systematic phenomenological analysis
journal, July 2015

Erratum to: Improved measurements of the neutrino mixing angle θ 13 with the Double Chooz detector
journal, February 2015

Parameterizing the lepton mixing matrix in terms of deviations from tri-bimaximal mixing
journal, January 2008

Neutrinos on Earth and in the heavens
journal, April 2000

Minimal predictive see-saw model with normal neutrino mass hierarchy
journal, July 2013

Observation of Reactor Electron Antineutrinos Disappearance in the RENO Experiment
journal, May 2012

Charged lepton corrections to neutrino mixing angles and CP phases revisited
journal, December 2005

Leptonic Dirac CP violation predictions from residual discrete symmetries
journal, January 2016

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

Nonzero |U e3| from charged lepton corrections and the atmospheric neutrino mixing angle
journal, May 2013

Correlated hierarchy, Dirac masses and large mixing angles
journal, November 2003

Testing atmospheric mixing sum rules at precision neutrino facilities
journal, January 2014

A neutrino mass-mixing sum rule from SO(10) and neutrinoless double beta decay
journal, April 2017

Unified parametrization for quark and lepton mixing angles
journal, January 2009

Neutrino mixing sum rules and oscillation experiments
journal, April 2007

The mass ratios parametrization
journal, January 2019

The mass ratios parametrization
journal, January 2019

Stitching an asymmetric texture with $T_{13} \times Z_{5}$ family symmetry
journal, October 2019

Lepton mixing predictions from $S_{4}$ in the tridirect $C P$ approach to two right-handed neutrino models
journal, April 2019