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SUMMARY:Phenomenology of the discrete symmetry approach to neutrino mixing
and leptonic CP violation
DTSTART;VALUE=DATE-TIME:20171020T130000Z
DTEND;VALUE=DATE-TIME:20171020T140000Z
DTSTAMP;VALUE=DATE-TIME:20200708T065656Z
UID:indico-event-644@conference.ippp.dur.ac.uk
DESCRIPTION:The problem of understanding the origin of the observed patter
n of neutrino mixing and\, more generally\, the origin of (lepton) flavour
is among the biggest problems in particle physics. Driven by the measured
values of the neutrino mixing parameters\, we adopt symmetry approach to
neutrino mixing\, based on the assumption of existence of a (lepton) flavo
ur symmetry described by a non-Abelian finite (discrete) group. The most d
istinct feature of the discrete symmetry approach is correlations between
the neutrino mixing angles and the CP violation phases present in the neut
rino mixing matrix. These correlations are referred to as neutrino mixing
sum rules. We first consider all types of the residual symmetries for whic
h such correlations are expected and derive the corresponding sum rules fo
r the Dirac phase. Using the derived sum rules\, we obtain predictions for
the Dirac phase in the cases of several discrete flavour symmetries. Furt
her\, we concentrate on a scenario in which the main contribution to neutr
ino mixing comes from the neutrino sector and explore in a systematic way
possible charged lepton corrections to highly symmetric mixing patterns. T
hese corrections are required to reconstitute compatibility of these patte
rns with experimental data. Next\, we derive sum rules for the Majorana ph
ases\, which are present in the neutrino mixing matrix if massive neutrino
s are Majorana particles. We demonstrate how generalised CP invariance of
the neutrino Majorana mass matrix constrains the Majorana phases and obtai
n predictions for the effective Majorana mass in neutrinoless double beta
decay. Finally\, we investigate the impact of renormalisation group correc
tions on the sum rule predictions for the Dirac phase.\n\nhttps://conferen
ce.ippp.dur.ac.uk/event/644/
LOCATION:IPPP OC218
URL:https://conference.ippp.dur.ac.uk/event/644/
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