31 research outputs found
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.Comment: 12 page
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.Comment: 6 pages; comments on substance and references adde
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.Comment: 21 pages. Some notations and quantitative estimations change
Small Q-D neutrino masses from a generic lepton mass hierarchy
Exponential lepton mass ratios are studied in a low energy phenomenology. In
view of the known data, the mass patterns of the charged leptons and widely
discussed quasi-degenerate neutrinos are related to one another by two
different traits - opposite mass ratios with large versus small exponents, and
probably conformable mass-degeneracy-deviation hierarchies. The
solar-atmospheric hierarchy parameter should have a special physical meaning in
the Q-D neutrino scenario. A general generic hierarchy equation with two
opposite solutions respectively for the charged lepton and neutrino mass ratios
is considered. It determines a small upper bound on the Q-D neutrino mass
scale, with estimations: m = 0.30 eV at 90% C.L., and m = 0.18 eV at best-fit
mass-squared differences.Comment: 8 pages, no figures. Revised version. Results unchange
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 {\theta}sol= 34.04o as ~7% violation of QLC, and
atmospheric mixing angle {\theta}atm= 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%, {\theta}atm= 43.0o. Quantitative tests of
both QLC-violation patterns and choice between them can be made at accurate
neutrino oscillation experiments.Comment: 5 pages, (B-L)-assertion excluded, title and abstract changed,
results unchange
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.Comment: 20 pages; e-constant implications in flavor phenomenology are
considered in new Sec.
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).Comment: 29 pages, footnote corrected, some phrases correcte
Neutrino Flavor Tagging in a Four-Neutrino Mixing and Oscillation Model
A neutrino mass dominance quantity is introduced for tagging the neutrino
flavor in the phenomenological two-parameter four neutrino mixing matrix with
two neutrino mass doublets and thorough maximal neutrino doublet mixing. While
there is no hierarchy of the neutrino masses in the neutrino flavor eigenstates
of this model, it may rather be a special hierarchy of the mass dominance
ratios in these eigenstates. A neutrino flavor hierarchy condition is
suggested: a direct link between the neutrino flavor and the flavor of the
charged leptons which interconnects the two mixing angles, theta and phi, via
the charged lepton mass ratios, with the net result tg^2 phi = (tg^2
theta)^gamma, gamma ~ 2.06. It leads to distinct inferences testable at SNO and
Super-K.Comment: 3 pages; A remark added on the meaning of the auxiliary neutrino
fields in the limit of mass-degenerate neutrino doublet
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.Comment: 23 pages. Arguments for a deeper physical meaning of the neutrino
oscillation solar-atmospheric hierarchy parameter are added to Sec.
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.Comment: 10 pages. Title and text partially reorganized. Appendix adde