A modified version of the Koide formula from flavor nonets in a scalar potential model and in a Yukawaon model

[1]  Z. Xing Flavor structures of charged fermions and massive neutrinos , 2019, Physics Reports.

[2]  S. Gottlieb,et al.  FLAG Review 2019 , 2019, The European Physical Journal C.

[3]  Y. Koide,et al.  Charged lepton mass relations in a SUSY scenario , 2018, Physics Letters B.

[4]  H. Nishiura,et al.  Parameter-independent quark mass relation in the U(3) × U(3)′ model , 2018, Modern Physics Letters A.

[5]  Y. Koide Another formula for the charged lepton masses , 2017, 1711.03221.

[6]  Matthias Steinhauser,et al.  Version 3 of RunDec and CRunDec , 2017, Comput. Phys. Commun..

[7]  H. Nishiura,et al.  Flavon VEV Scales in U(3)$\times$U(3)$'$ Model , 2017, 1701.06287.

[8]  Y. Koide Sumino's Cancellation Mechanism in an Anomaly-Free Model , 2016, 1608.04514.

[9]  Y. Koide,et al.  Muon–electron conversion in a family gauge boson model , 2016, 1608.01650.

[10]  Yongchang Huang,et al.  New symmetric relations among lepton masses and prediction of lepton masses of the fourth generation , 2016 .

[11]  Syeda Tehreem Iqbal,et al.  Some new symmetric relations and prediction of left- and right-handed neutrino masses using Koide’s relation , 2016, 1601.00754.

[12]  H. Nishiura,et al.  Quark and lepton mass matrices described by charged lepton masses , 2015, 1512.08386.

[13]  G. Gao,et al.  Explorations of two empirical formulas for fermion masses , 2015, 1512.06349.

[14]  H. Nishiura,et al.  Quark and lepton mass matrix model with only six family-independent parameters , 2015, 1510.05370.

[15]  H. Nishiura,et al.  Origin of Hierarchical Structures of Quark and Lepton Mass Matrices , 2015, 1503.04900.

[16]  H. Nishiura,et al.  Leptonic $CP$ violating Phase in the Yukawaon Model , 2014, 1410.8653.

[17]  Y. Koide Spectroscopy of family gauge bosons , 2014, 1405.6778.

[18]  H. Nishiura,et al.  Universal Bilinear Form of Quark and Lepton Mass Matrices , 2014, 1405.0069.

[19]  H. Nishiura,et al.  Yukawaon Model with Anomaly Free Set of Quarks and Leptons in a U(3) Family Symmetry , 2013, 1308.2129.

[20]  H. Nishiura,et al.  Neutrino mass matrix model with a bilinear form , 2013, 1301.4312.

[21]  P. Żenczykowski Koide's Z 3 -symmetric parametrization, quark masses, and mixings , 2013, 1301.4143.

[22]  P. Żenczykowski Remark on Koide's Z 3 -symmetric parametrization of quark masses , 2012, 1210.4125.

[23]  H. Nishiura,et al.  Large $\theta_{13}^{\nu}$ and unified description of quark and lepton mixing matrices , 2012, 1209.1275.

[24]  F. Cao Neutrino masses from lepton and quark mass relations and neutrino oscillations , 2012, 1205.4068.

[25]  Y. Koide,et al.  Family Gauge Bosons with an Inverted Mass Hierarchy , 2012, 1207.2308.

[26]  H. Nishiura,et al.  Yukawaon Model with U(3)$\times$S$_3$ Family Symmetries , 2012, 1202.5815.

[27]  Matthias Steinhauser,et al.  CRunDec: A C++ package for running and decoupling of the strong coupling and quark masses , 2012, Comput. Phys. Commun..

[28]  A. Kartavtsev A Remark on the Koide relation for quarks , 2011, 1111.0480.

[29]  H. Nishiura,et al.  Neutrino mass matrix with no adjustable parameters , 2011, 1106.5202.

[30]  Y. Koide SU(5)-Compatible Yukawaon Model , 2011, 1106.0971.

[31]  He Zhang,et al.  Extension of an empirical charged lepton mass relation to the neutrino sector , 2011 .

[32]  H. Nishiura,et al.  Unified description of quark and lepton mixing matrices based on a yukawaon model , 2010, 1011.1312.

[33]  Y. Koide Yukawaon model with U(3)×O(3) family symmetries , 2010, 1011.1064.

[34]  Y. Koide Charged Lepton Mass Spectrum and a Scalar Potential Model , 2010, 1004.0580.

[35]  Y. Koide Yukawaon approach to the Sumino relation for charged lepton masses , 2010, 1001.4877.

[36]  Y. Koide Charged lepton mass spectrum and supersymmetric yukawaon model , 2009, 0906.3370.

[37]  Y. Koide Yukawaon model in the quark sector and nearly tribimaximal neutrino mixing , 2009, 0904.1644.

[38]  Y. Koide CAN MASSLESS AND LIGHT YUKAWAONS BE HARMLESS , 2009, 0902.4501.

[39]  Y. Koide Neutrino Mass Matrix Related to Up-Quark Masses and Nearly Tribimaximal Mixing — Based on a Yukawaon Model , 2008, 0812.3203.

[40]  Y. Sumino Family gauge symmetry as an origin of Koide's mass formula and charged lepton spectrum , 2008, 0812.2103.

[41]  Y. Sumino Family gauge symmetry and Koide's mass formula , 2008, 0812.2090.

[42]  Y. Koide Charged lepton mass relations in a supersymmetric Yukawaon model , 2008, 0811.3470.

[43]  Y. Koide Phenomenological Meaning of a Neutrino Mass Matrix Related to Up-Quark Masses , 2008, 0809.2449.

[44]  Y. Koide O(3) flavor symmetry and an empirical neutrino mass matrix , 2008, 0804.4267.

[45]  Y. Koide An empirical neutrino mass matrix related to up-quark masses , 2008, 0803.3101.

[46]  Y. Koide U(3)-flavor nonet scalar as an origin of the flavor mass spectra , 2008, 0802.1084.

[47]  Y. Koide How to Evade a No-Go Theorem in Flavor Symmetries , 2008, 0801.3491.

[48]  N. Haba,et al.  F-term induced flavor mass spectrum , 2008, 0801.3301.

[49]  Y. Koide CHARGED LEPTON MASS FORMULA — DEVELOPMENT AND PROSPECT , 2007, 0706.2534.

[50]  Y. Koide S4 flavor symmetry embedded into SU(3) and lepton masses and mixing , 2007, 0705.2275.

[51]  B. Ma,et al.  Determining quark and lepton mass matrices by a geometrical interpretation , 2007, hep-ph/0702288.

[52]  Y. Koide A4 symmetry and lepton masses and mixing , 2007, hep-ph/0701018.

[53]  Y. Koide S3 symmetry and neutrino masses and mixings , 2006, hep-ph/0612058.

[54]  E. Ma Lepton family symmetry and possible application to the Koide mass formula , 2006, hep-ph/0612022.

[55]  Y. Koide Tribimaximal neutrino mixing and a relation between neutrino- and charged lepton-mass spectra , 2006, hep-ph/0605074.

[56]  R. Mohapatra,et al.  Neutrino Mass and New Physics , 2006, 0910.1778.

[57]  Z. Xing,et al.  On the Koide-like relations for the running masses of charged leptons, neutrinos and quarks , 2006, hep-ph/0602134.

[58]  B. Ma,et al.  Energy scale independence of Koide's relation for quark and lepton masses , 2006, hep-ph/0601031.

[59]  M. Herquet,et al.  A new look at an old mass relation , 2005, hep-ph/0510289.

[60]  Y. Koide Permutation symmetry S 3 and vacuum expectation value structure of flavor-triplet Higgs scalars , 2005, hep-ph/0509214.

[61]  Y. Koide Seesaw mass matrix model of quarks and leptons with flavor-triplet Higgs scalars , 2005, hep-ph/0508301.

[62]  Y. Koide Challenge to the Mystery of the Charged Lepton Mass Formula , 2005, hep-ph/0506247.

[63]  A. Rivero,et al.  The strange formula of Dr. Koide , 2005, hep-ph/0505220.

[64]  B. Ma,et al.  Estimate of neutrino masses from Koide's relation , 2005, hep-ph/0505028.

[65]  Y. Koide Quark and Lepton Mass Matrices with a Cyclic Permutation Invariant Form , 2000, hep-ph/0005137.

[66]  J. Kuhn,et al.  RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses , 2000, hep-ph/0004189.

[67]  Y. Koide Universal seesaw mass matrix model with an S(3) symmetry , 1999, hep-ph/9905416.

[68]  Hayes,et al.  Review of Particle Physics. , 1996, Physical review. D, Particles and fields.

[69]  P. Santorelli,et al.  A GEOMETRIC PICTURE FOR FERMION MASSES , 1995, hep-ph/9603369.

[70]  Y. Koide,et al.  U(3)-family nonet Higgs boson and its phenomenology , 1995, hep-ph/9505333.

[71]  Y. Koide New Physics from U(3)-Family Nonet Higgs Boson Scenario , 1995, hep-ph/9501408.

[72]  R. Foot A note on Koide's lepton mass relation , 1994, hep-ph/9402242.

[73]  Koide Phenomenological quark mass matrix model with two adjustable parameters. , 1993, Physical review. D, Particles and fields.

[74]  Y. Koide Should the Renewed Tau Mass Value 1777 MeV BE Taken Seriously , 1993 .

[75]  Y. Koide Charged lepton mass sum rule from U(3)-family Higgs potential model , 1990 .

[76]  Y. Koide Charged lepton mass matrix with democratic family mixing , 1989 .

[77]  Y. Koide New view of quark and lepton mass hierarchy , 1983 .

[78]  Y. Koide A fermion-boson composite model of quarks and leptons , 1983 .

[79]  Y. Koide Fermion-boson two-body model of quarks and leptons and cabibbo mixing , 1982 .

[80]  H. Nielsen,et al.  Hierarchy of Quark Masses, Cabibbo Angles and CP Violation , 1979 .

[81]  房岡 秀郎,et al.  Seesaw-Type Quark and Lepton Mass Matrices and U(3)-Family Nonet Higgs Bosons , 1995 .

[82]  Teiji Takagi,et al.  On an Algebraic Problem Reluted to an Analytic Theorem of Carathéodory and Fejér and on an Allied Theorem of Landau , 1924 .

[83]  Léon Autonne,et al.  Sur les matrices hypohermitiennes et sur les matrices unitaires , 1915 .