Perturbative estimates of lepton mixing angles in unified models

• Many unified models predict two large neutrino mixing angles, with the charged lepton mixing angles being small and quark-like, and the neutrino masses being hierarchical. Assuming this, we present simple approximate analytic formulae giving the lepton mixing angles in terms of the underlying high energy neutrino mixing angles together with small perturbations due to both charged lepton corrections and renormalisation group (RG) effects, including also the effects of third family canonical normalization (CN). We apply the perturbative formulae to the ubiquitous case of tri-bimaximal neutrino mixing at the unification scale, in order to predict the theoretical corrections to mixing angle predictions and sum rule relations, and give a general discussion of all limiting cases. We also discuss the implications for the sum rule relations of the measurement of a non-zero reactor angle, as hinted at by recent experimental measurements.

Ämnesord

NATURVETENSKAP  -- Fysik -- Subatomär fysik (hsv//swe)

NATURAL SCIENCES  -- Physical Sciences -- Subatomic Physics (hsv//eng)

Nyckelord

HANDED NEUTRINO DOMINANCE

FAMILY SYMMETRY

SEQUENTIAL DOMINANCE

MASS OPERATOR

CP PHASES

RENORMALIZATION

MATRIX

OSCILLATIONS

UNIFICATION

EQUATIONS

Elementary particle physics

Elementarpartikelfysik

Publikations- och innehållstyp

ref (ämneskategori)

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