4,182 research outputs found
An SUSY GUT of flavour in 6d
We propose a 6d model with a SUSY gauge symmetry. After
compactification, it explains the origin of the Family Symmetry with CSD3
vacuum alignment, as well as breaking with doublet-triplet splitting.
The model naturally accounts for all quark and lepton (including neutrino)
masses and mixings, incorporating the highly predictive Littlest Seesaw
structure. It spontaneously breaks CP symmetry, resulting in successful CP
violation in the quark and lepton sectors, while solving the Strong CP problem.
It also explains the Baryon Asymmetry of the Universe (BAU) through
leptogenesis, with the leptogenesis phase directly linked to the Dirac and
Majorana phases.Comment: 23 pages, 6 figures. v3: Version published in JHE
The Output Cost of Disinflation in Traditional and Vector Autoregressive Models
macroeconomics, vector autoregressive model, disinflation
Generalised CP and Family Symmetry
We perform a comprehensive study of family symmetry models based on
combined with the generalised CP symmetry . We investigate the
lepton mixing parameters which can be obtained from the original symmetry
breaking to different remnant symmetries in the
neutrino and charged lepton sectors. We find that only one case is
phenomenologically viable, namely in the neutrino sector and in the charged lepton sector, leading to the
prediction of no CP violation, namely and the Majorana phases
and are all equal to either zero or . We then
propose an effective supersymmetric model based on the symmetry in which trimaximal lepton mixing is predicted together with
either zero CP violation or with non-trivial
Majorana phases. An ultraviolet completion of the effective model yields a
neutrino mass matrix which depends on only three real parameters. As a result
of this, all three CP phases and the absolute neutrino mass scale are
determined, the atmospheric mixing angle is maximal, and the Dirac CP can
either be preserved with or maximally broken with
and sharp predictions for the Majorana phases and
neutrinoless double beta decay.Comment: 38 pages, 3 figure
Grand Unified Theory of Flavour and Leptogenesis
We propose a Grand Unified Theory of Flavour, based on together with
a non-Abelian discrete group , under which the unified three quark and
lepton 16-plets are unified into a single triplet . The model involves a
further discrete group which controls
the Higgs and flavon symmetry breaking sectors. The CSD2 flavon vacuum
alignment is discussed, along with the GUT breaking potential and the
doublet-triplet splitting, and proton decay is shown to be under control. The
Yukawa matrices are derived in detail, from renormalisable diagrams, and
neutrino masses emerge from the type I seesaw mechanism. A full numerical fit
is performed with 15 input parameters generating 19 presently constrained
observables, taking into account supersymmetry threshold corrections. The model
predicts a normal neutrino mass ordering with a CP oscillation phase of
, an atmospheric angle in the first octant and neutrinoless double
beta decay with meV. We discuss leptogenesis, which
fixes the second right-handed neutrino mass to be
GeV, in the natural range predicted by the model.Comment: 26 pages, 10 figure
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