arXiv subjects

E. M. Lipmanov

Publications and source records attributed to E. M. Lipmanov.

At least 19 recordsLinked to original sources

arXiv2016

Geometric Interpretation of Standard Model Hierarchies and Zero Neutrino Mass Scale

Numerous confirmations may indicate that, besides the problem of Higgs sector many external parameters, the Standard Model is a complete low energy particle interaction theory not crying for new physics. But there are serious problems with understanding flavor in SM phenomenology. Firstly, equal number 3 of SM particle generations coincide with the dimension number of outer euclidean 3-space and secondly, the factual SM particle mass and mixing hierarchies at leading approximation appear solutions of the Metric equation for unit vector direction angles in euclidean 3-space geometry. The power of the Metric equation in hierarchy phenomenology is visualized by explanation of the outstanding in the SM large empirical Tau-lepton, Top-quark, Bottom-quark masses and small neutrino Reactor mixing angle. New in the SM weak interactions particle color degree of freedom (3 quark colors and 1 lepton color) appears appropriate for representing quark and neutrino mixing angle unity at basic level and substantial difference at the observational level. Based on suggested by data idea of zero neutrino mass scale, absolute neutrino masses m1 = 0, m2 = 0.009 eV, m3 = 0.05 eV are analyzed. They are related to the neutrino mixing angles and are of the same hierarchy type that the known Dirac mass patterns of charged leptons and quarks.

physics.gen-ph↗

arXiv2014

Semi-Empirical Neutrino and Quark Mixing Angle Broken 4-Color Geometric Symmetry

Two semi-empirical ideas are guiding the present research: 1) one neutrino and N color quark triple mixing angles have second physical meaning of vector direction angles in euclidean 3-space, and 2) the difference between neutrino and quark mixing in the SM weak interactions is mostly conditioned by known fundamental difference of these particles by numbers of color degree of freedom. As main physical inference, the elementary particle mixing angles obey a novel phenomenological quark-neutrino (N+1)-color and 3 mixing angle symmetric positive definite quadratic Pythagorean equation in terms of double mixing angles. This equation predicts immediately that two large solar and atmospheric angles must be accompanied by one small not zero theta-13 neutrino angle in convincing agreement with recent new theta-13 experimental data. Benchmark flavor mixing pattern - united bimaximal neutrino and zero quark ones - follows from solutions of the primary equation without free parameters. Agreement with known experimental data follows only when the number of quark colors is equal to the number of particle flavors, N = 3. Together with closely related to the fine structure constant one empirical small parameter, that benchmark pattern determines realistic quark and neutrino mixing angles in good agreement with data and especially accurate for quark Cabibbo and neutrino solar angles. Coming accurate neutrino mixing angle data are important for testing the Pythagorean equation.

physics.gen-ph↗

arXiv2013

Semi-Empirical Flavor Mixing Phenomenology and T2K Theta_13 Data

Stimulated by recent T2K indications on a surprisingly large neutrino mixing theta_13 angle we suggest that this last unknown angle is not independent but determined by the known large solar and atmospheric neutrino oscillation angles via simple, symmetric, positive-definite equation. Encouragingly, it appears in agreement with recent new long base-line appearance nu-mu to nu-e neutrino oscillation T2K data. At zero approximation this equation determines benchmark bimaximal neutrino mixing matrix as its unique solution with one texture zero. Extension to quark mixing angles leads to definite equation with unit mixing matrix as sole solution. All six realistic neutrino and quark mixing angles are explicitly expressed as small deviations from the zero approximation benchmark ones by one small empirical universal parameter. Thus in the considered semi-empirical flavor phenomenology the system of two related neutrino and quark equations is the source of the known main empirical rule of 'large neutrino mixing angles versus small quark ones' as well as other particle mixing regularities.

physics.gen-ph↗

arXiv2011

Generic system of exact flavor-electroweak quantities via new dynamical parameter

Unification-type idea of a basic connection between particle mass and charge quantities is in the spirit of string theory. On the level of phenomenology, this idea means raison d'etre for particle flavor since it requires more than one mass copy i.e. transition from individual particle mass to the concept of mass-matrix. In this paper that idea is exemplified by a generic system of accurate empirical relations for dimensionless flavor-electroweak quantities (fine structure constant, muon-electron and tauon-electron mass ratios and quark CKM and neutrino PMNS mixing angles) build in terms of one small universal e-parameter as mediator of mass-matrix and charge quantities. The used in this study empirically suggested math paradigm consists of repeated exponentiation of e-powers. Accuracy boost of flavor relations from replacement of e-power terms by exponential f-terms is observed. The two widely discussed in the literature empirical flavor regularities, quark-lepton complementarity (QLC) and Koide charged lepton mass formula, are essential parts of the generic system. Solar neutrino mixing angle is predicted θsol= 34.05o by extension of QLC. Charged lepton mass ratios satisfy Koide relation with high accuracy ~10-9. The Appendix contains comments on dual objective-anthropic nature of physical reality.

physics.gen-ph↗

arXiv2011

Combined Quark-Lepton-Complementarity via United by One-Parameter Particle Mixing Angles

On the level of phenomenology unification-type idea of a basic connection between dimensionless mass and charge quantities requires particle mass copies and therefore is interesting as raison d'etre for particle flavor (degree of freedom). Particle mass ratios and mixing angles expressed in terms of related to the fine structure constant e-parameter are particular examples of mass-matrix -- charge unification. In this paper small violations of quark-lepton-complementarity (QLC) come from an accurate system of three quark mixing angles in terms of the e-parameter. Two patterns of small QLC-violations, 'combined' and 'universal', are considered. The first pattern predicts solar mixing angle θsol= 34.04o as ~7% violation of QLC, and atmospheric mixing angle θatm= 42.64o that is in agreement with QLC. The 'universal' pattern predicts the same magnitude of solar angle, while the atmospheric one violates QLC by ~1%, θatm= 43.0o. Quantitative tests of both QLC-violation patterns and choice between them can be made at accurate neutrino oscillation experiments.

physics.gen-ph↗

arXiv2010

Advanced One-Parameter CKM Mixing Matrix and Universal Deviation from Exact Quark-Lepton Complementarity

In this paper, realistic CPT-symmetric united at substance quark and neutrino mixing matrices are studied by the idea that they are shifted from respectively unit and bimaximal benchmark matrices by one new small universal empirical e-parameter. At leading finite e-approximation quark-lepton complementarity (QLC) is an exact regularity. Equal solar and atmospheric deviations from exact QLC constitute one of the main inferences at next to leading approximation. That universal violation of exact QLC advances the status of the QLC idea; and the more so, as that deviation from QLC is quantitatively estimated and used for accurate calculations of lepton mixing angles. Quark and neutrino Dirac CP-violating phases are determined by the considered quadratic hierarchy paradigm in flavor phenomenology. Inferences are partly supported by quark heavy flavor unitarity triangle angles and testable at B-factory and LHC b experiments. Estimated magnitude of the unitarity triangle gamma-angle concurs with the quark CP-violating phase to within ~5x10-4. The final quark CKM mixing matrix in terms of the e-parameter is in excellent quantitative agreement with world data and suggests a fitting form of neutrino PMNS mixing matrix. The e-constant implications in flavor phenomenology are considered.

physics.gen-ph↗

arXiv2009

Complementary Quark and Lepton Deviation from Mass-Degeneracy Hierarchies

Near magnitudes of Dirac particle mass-ratios, mixing hierarchy-quantities and electroweak charges against the background of highly successful flavor-universal one-generation EW theory is a puzzle in need of diverse inclusive research. In this paper I study the problem in proper terms of lepton and quark Deviation-from-Mass-Degeneracy (DMD) hierarchies at tree EW approximation. As primary are considered not discrete flavor symmetry but rather the deviations from mass-degeneracy-symmetry without inventing exact particular symmetry. Empirically suggested benchmark flavor patterns (zero approximation) and deviations from benchmarks caused by emergence of a small related to EW charges parameter are considered two sources of realistic flavor quantities. Physically interesting mass and mixing flavor quantities are obtained as solutions of linear and quadratic DMD-hierarchy equation-pairs with complementary patterns of quark and lepton DMD-hierarchies. Dual relations between DMD-quantities of quarks and charged leptons (Dirac particles), on the one hand, and neutrinos (likely Majorana particles), on the other hand, are inferences. Considered in the literature approximate quark-neutrino mixing angle complementarity appears naturally from the violation of benchmark patterns by the emergent small parameter.

physics.gen-ph↗

arXiv2009

Accurate Quark CKM Mixing Matrix in terms of one universal parameter

The quark Cabibbo-Kobayashi-Maskawa mixing matrix is a fundamental part of the Standard Model accurately determined to fit world data analysis. In this paper the CKM matrix elements are high accurately rendered via simple compact parameterization by one small dimensionless parameter. Unique value of the KM CP-violating phase -65.53 deg is derived in agreement with fitting the data Wolfenstein parameterization. With the three mixing angles and CP-violating phase quantitatively determined, the complete content of the CKM global fit in the SM is accurately reproduced within the small relative 1 S.D. ranges in the form of a united system. Parameterization of the neutrino Pontecorvo-Maki-Nakagava-Sakata mixing matrix by the same parameter in agreement with available data is related to the quark CKM one by the idea of quark-neutrino mixing angle complementarity extended to the relation between Dirac CP-violating phases.

physics.gen-ph↗

arXiv2009

Electroweak model of lepton mass and mixing hierarchies

Flavor physics, like cosmology, is likely in need of new basic ideas; the puzzles of elementary particle mass hierarchies and in particular the e-mu-tau and neutrino ones still remain mysteries. In this paper a new idea of dynamical connection between low energy 3-flavor particle mass hierarchies and electroweak charges is studied with restriction to the simplest case of lepton flavor phenomenology. The main inference is that it can be only two types of lepton 3-flavor particle-copy groups: 1) with large and strongly hierarchical mass ratios and 2) with close to 1 mass ratios. From experimental data definitely follows that the three charged leptons belong to the first type whereas the three neutrinos belong to the second type and so are quasi-degenerate. The inferences of QD-neutrinos with realistic small masses and oscillation hierarchy parameter and quark-QD-neutrino mixing angle complementarity follow from the fact of small EW charges and their relation to the concept of benchmark flavor pattern.

physics.gen-ph↗

arXiv2009

Benchmark 3-Flavor Pattern and Small Universal Flavor-Electroweak Parameter

The electroweak theory contains too many empirical parameters. Most of them are related to the flavor part of particle physics. In this paper we discuss a relevant simple idea: the complicated system of actual dimensionless, small versus large, quantities in elementary particle flavor phenomenology is small deviated from an explicitly defined benchmark flavor pattern with no tuning parameters. One small empirical universal dimensionless parameter measures this deviation. Its possible physical connections are discussed. As inferences, quasi-degenerate neutrino type with mass scale m = 0.16-0.18 eV, neutrino and quark mixing matrices, large neutrino oscillation 3-flavor hierarchy and quark-neutrino complementarity are predicted.

physics.gen-ph↗

arXiv2008

Top-Quark Mass Data and the Sum of Quasi-Degenerate Neutrino Masses (One small electroweak-bound e-parameter organizes elementary particle 3-flavor phenomenology)

The absolute neutrino masses and type of neutrino mass hierarchy are among the main problems in neutrino physics. Top-quark mass is another topical problem in particle physics. These problems extend the old puzzle of electron-muon mass ratio close to the fine structure constant, which is still not solved by known theory. Here I continue the search for a general flavor pattern that may incorporate these problems. Relations between neutrino/electron and electron/top-quark pole mass ratios are obtained from supposition that realistic elementary particle dimensionless bare flavor quantities are small deviated (measured by universal parameter e) from the values of a stated flavor pattern (at e=0) and experimental data hints. With the world average t-quark mass data the sum of QD-neutrino masses is estimated (0.50 +- 0.003)eV in agreement with cosmological constraints and known QD-neutrino mass estimations from experimental data on neutrino oscillation mass-squared differences.

physics.gen-ph↗

arXiv2008

Flavor Hierarchy Quadratic Rule and Dual Quark-Neutrino Mixing Patterns

Flavor physics is about particle mass-degeneracy-deviations (DMD) and mixing and especially about hierarchies of those deviations. On the one hand there is no established theory of particle flavor at present; on the other hand there are growing data indications on interesting empirical flavor regularities that are described here by two semi-empirical rules: quadratic DMD-hierarchy and Dirac-Majorana DMD-duality rules. First rule unites neutrino solar-atmospheric hierarchy parameter with charged lepton (CL) and quark mass-ratio hierarchies and simultaneously unites the hierarchies in the mixing matrices of quarks and neutrinos; the second rule predicts quasi-degenerate neutrinos from the fact of CL and quark large mass hierarchy and explains quark-neutrino complementarity mixing relations. The neutrino and quark mixing data seem very different, but it results that small deviations from maximal neutrino mixing are nearly equal to the small deviations from minimal mixing of quarks. Those deviations are quantitatively described by only one new small flavor parameter ~0.0067.

hep-ph↗

arXiv2008

United Quark and Neutrino Mixing Matrices with Universal Pair of CP-Violating Phases

The Standard Model quark and neutrino mixing matrices are of independent empirical origin, but they do suggest unification. In this paper I obtained two united one-parameter quark and neutrino mixing matrices inferred from two semi-empirical deviation-from-mass-degeneracy (DMD) flavor rules (quadratic DMD-hierarchy rule and Dirac-Majorana DMD-duality rule) without use of the common exact-flavor-symmetry suggestions for that particular unification problem. One small empirical parameter quantitatively defines the pattern of particle flavor physics. The main predictions are: 1) hierarchical connections between the 2 large solar and atmospheric neutrino mixing angels, and the 2 small quark mixing angels, 2) universal sequence of 14 equality relations to that one-empirical-parameter of the quark and neutrino mixing-matrix parameters, CP-phases and lepton mass ratios, which are free dimensionless constants in the Standard Model, 3) complementarity connections between doubled large neutrino and small quark mixing angles, 4) tentative solution of the CP-violation problem in framework of Standard Model mixing matrix phenomenology by suggesting a universal set of two nonzero values ~58.8 and ~31.2 degrees for Dirac and Majorana CP-violating phases.

hep-ph↗

arXiv2007

Quadratic Hierarchy Flavor Rule as the Origin of Dirac CP-Violating Phases

The premise of an organizing quadratic hierarchy rule in lepton-quark flavor physics was used earlier for explanation of the hierarchy patterns of four generic pairs of flavor quantities 1) charged-lepton and 2) neutrino deviations from mass-degeneracy, 3) deviations of lepton mixing from maximal magnitude and 4) deviations of quark mixing from minimal one. Here it is shown that the quadratic hierarchy equation that is uniquely related to three flavor particle generations may have yet another important function. It determines two complementary values of the Dirac CP-violating phases in the quark and neutrino mixing matrices without involvement of any empirical parameters. If confirmed by accurate experimental data, it means a discovery of an explicit CP-violation source in elementary particle mixing matrices and a single source of CP-violation at least in the quark mass matrix phenomenology.

hep-ph↗

arXiv2007

Universal Quadratic Hierarchy Rule in Lepton Flavor Physics and Large Neutrino Mixing

Large mixing parameters of neutrino mass eigenstates in the neutrino flavor eigenstates are determined, and interpreted as closely related to the neutrino and charged lepton mass-ratio patterns. The three known seemingly different charged lepton and quasi-degenerate neutrino deviation-from-extreme hierarchies are shown to be three particular manifestations of one unifying quadratic hierarchy-rule in lepton flavor physics.

hep-ph↗

arXiv2007

Precise match for the new experimental fine structure constant value

In this note I point out a highly accurate relation - to within 0.2 ppb - between the recently discovered accurate experimental value of the fine structure constant (1/a)_exp =137.035999710(96) and the precise solution (1/a)= 137.035999737 of a nonlinear equation for the fine structure constant generated by the earlier suggested new universal flavor-electroweak phenomenological constant a_o = exp(-5) as a source and hints from the new experimental data. This perfect match for the experimental value (1/a)_exp lends additional support to the basic notion of a new universal physical constant a_o.

hep-ph↗

arXiv2007

New Universal Flavor-Electroweak Physical Constant and Neutrino Type

By analogy with the solution of the classical physics problems achieved not by an extension of the established dynamic and symmetry knowledge but by the emergence of a fundamentally new empirical physical constant h leading to quantum mechanics, I address in this paper the known basic problems of lepton mass ratios, neutrino type and electroweak charges in terms of an emerging new dimensionless flavor-electroweak physical constant of a new sort. A special value of that new universal constant is suggested av0 = exp(-5). Like the Plank constant h, initially closely related to suggested discrete radiation energy, the new constant a_o is related here to the problem of discrete electric charge. With known data, it is observed that the constant a_o determines the mass ratios of charged leptons, the mass ratios and absolute mass scale and oscillation mass squared differences of quasidegenerate neutrinos on the one hand, and the low energy fine structure constant and the second electroweak constant on the other hand. I gathered, organized and commented here an interesting system of primary observations made on particle mass and electroweak experimental data. As a result, the new physical constant a_o describes a fundamental aspect of low energy phenomenology uniting the electroweak theory with the necessary idea of anthropic selection of the free interaction constant values and particle flavor freedom mass values.

hep-ph↗

arXiv2005

On lepton flavor mass-degeneracy-deviation hierarchies and QD-neutrino mass

Two guiding new phenomenological flavor and flavor-electroweak ideas are expounded in this paper: (I) Oppositeness relation between neutrino and Charged Lepton Mass-Degeneracy-Deviation quantities. With inputs from the mass and neutrino oscillation data, it enables two independent estimations of the neutrino masses m =(0.11-0.30)eV and m =(0.11-0.16) eV. Small value of the neutrino oscillation hierarchy parameter is a consistency condition. (II) Essential connection between lepton mass hierarchies and low energy electroweak coupling constants. It enables an independent estimation of the QD-neutrino mass m = (0.11-0.14) eV, and renders three sequential charged lepton copies into one flavor system with the elementary charge encoded in the three-flavor mass hierarchy. An exact relation between the fine structure constant at Q2=0 and the experimental charged lepton mass-ratio parameter exp(-5) is observed. Experimental evidence is suggesting that this parameter has physical meaning of a dimensionless universal parameter that links flavor and electroweak quantities in accord with the guiding idea (II).

hep-ph↗