TITLE:
Flavour-Changing Weak Interactions of Neutrinos and Quarks from SST
AUTHORS:
Sylwester Kornowski
KEYWORDS:
Scale-Symmetric Theory, Internal Structure of Neutrinos, Dark Pion in SST, Survival Probability in the KamLAND Data, Masses of Cosmological Neutrinos, Neutrino-Photon Decoupling, PMNS Matrix, Reactor Electron-Antineutrino Anomaly, CKM Matrix, SST Matrix, Up and Down Quarks in Nucleons, Neutrino Oscillation Anomalies
JOURNAL NAME:
Journal of High Energy Physics, Gravitation and Cosmology,
Vol.12 No.2,
March
30,
2026
ABSTRACT: According to the Scale-Symmetric Theory (SST), there is a similarity of shapes and equality of mass ratios of the components of the three basic cores, i.e. of the core of lightest neutrinos, charged core of baryons, and the core of the Protoworld that was composed of dark matter. From the neutrino-spin rotation, we calculated the masses of the cosmological neutrinos. Two characteristic neutrino oscillations lead to
Δ
m
32,mean
2
=2.45×
10
−3
eV
2
and
Δ
m
21,mean
2
=7.42×
10
−5
eV
2
. The
ν
e
⇆
ν
μ
transitions are possible only via the tau-neutrino. We also described three neutrino oscillation anomalies that follow from
Δ
m
41,mean
2
=1.32×
10
−2
eV
2
,
Δ
m
41,mean
2
=1.36
eV
2
, and
Δ
m
41
2
=7.395
eV
2
. We show that the dependence of the survival probability on the electron-antineutrino energy in the KamLAND data follows from the atom-like structure of neutrons/baryons and some symmetrical associations of the neutrons. We also calculated mass and range of the dark pion, which are
π
dark
≈7×
10
−18
MeV
and ∼181 km, respectively—such a range defines the fundamental range of the neutrinos. We also explained the reactor electron-antineutrino anomaly. The CKM matrix concerns the flavour-changing weak interactions of quarks, so we described both the PMNS neutrino-mixing matrix and the CKM quark-mixing matrix. Within SST, we also formulated a model containing both a unitarity triangle of mixing angles and a unitary SST matrix that lead to the three weak-interaction doublets of scalars, pseudoscalars and fermions. We also described the origin of the up and down quarks in nucleons.