Tri-bimaximal neutrino mixing, A4 and the modular symmetry
By Guido Altarelli, F. Feruglio. 2005
540 citations recorded by the source corpus.
Abstract We formulate and discuss a 4-dimensional SUSY version of an A 4 model for tri-bimaximal neutrino mixing which is completely natural. We also study the next-to-the-leading corrections and show that they are small, once the ratios of A 4 breaking VEVs to the cutoff are fixed in a specified interval. We also point out an interesting way of presenting the A 4 group starting from the modular group. In this approach, which could be interesting in itself as an indication on a possible origin of A 4 , the Lagrangian basis where the symmetry is formulated coincides with the basis where the charged leptons are diagonal. If the same classification structure in A 4 is extended from leptons to quarks, the CKM matrix coincides with the unit matrix in leading order and a study of non-leading corrections shows that the departures from unity of the CKM matrix are far too small to accomodate the observed mixing angles.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/2acf1ecbde93195bf35e198baf257128cb13269e
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In Nuclear and High Energy Physics
Citations in the corpus
- Charged Lepton Flavour Violation: An Experimental and Theoretical Introduction (2017, methodology): “yed symmetry: from a simple U(1) as in the original proposal by Froggatt and Nielsen [154, 155, 156], to non-abelian groups, continuous (such as U(2) [157, 158], or SU(3) [159]) or discreet (e.g. A 4 [160]). Besides shaping the Yukawa matrices thus accounting for their hierarchical structure, in sup”
- A(4) family symmetry and quark-lepton unification (2006, unknown): “…Malinský School of Physics and Astronomy, University of Southampton, SO16 1BJ Southampton, United Kingdom E-mail: malinsky@phys.soton.ac.uk Abstract:We present a model of quark and lepton masses and mixings based on A4 family symmetry, a discrete subgroup of an SO(3)…”