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Neutrino masses and LFV from minimal breaking of U(3)5 and U(2)5 flavor symmetries

  • Regular Article - Theoretical Physics
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Abstract

We analyze neutrino masses and Lepton Flavor Violation (LFV) in charged leptons with a minimal ansatz about the breaking of the U(3)5 flavor symmetry, consistent with the U(2)3 breaking pattern of quark Yukawa couplings, in the context of supersymmetry. Neutrino masses are expected to be almost degenerate, close to present bounds from cosmology and 0νββ experiments. We also predict s 13≈s 23|V td |/|V ts |≈0.16, in perfect agreement with the recent Daya-Bay result. For slepton masses below 1 TeV, barring accidental cancellations, we expect \(\mathcal{B}(\mu\to e \gamma) > 10^{-13}\) and \(\mathcal {B}(\tau\to\mu\gamma) > 10^{-9}\), within the reach of future experimental searches.

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Notes

  1.  We denote in bold U(3) vectors and representations.

  2. This has no practical implications if we consider the Yukawa sector alone, where there in no preferred O(2) subgroup of U(2) l in the limit V→0.

  3. For quarks, it was shown in [11] that the CKM phase is entirely defined by the phases in the ΔY f spurions. Thus, the conclusions for the quark sector would remain unchanged.

  4. The physical phase appearing in the CKM matrix can be determined in terms of α d −α u  [11], but we cannot disentangle α d and α u without extra theoretical assumptions.

  5. Although the global fit of Ref. [24] does not include the recent Daya-Bay result [23], the resulting value for θ 13 turns out to be in good agreement with the direct determination in Eq. (5). Similar results for all the neutrino parameters but for θ 13 can be found also in Ref. [25].

  6. The WMAP bound of [26] for the sum of neutrino masses varies between 1.3 eV (WMAP-only) and 0.58 (WMAP + Baryon Acoustic Oscillations + Hubble constant measurements).

  7.  In the diagonalization process we discard results with tachyonic sleptons or charged LSPs. We also take into account the approximate LEP bounds on chargino, stau and sneutrino masses [34].

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Acknowledgements

This work was supported by the EU ERC Advanced Grant FLAVOUR (267104), and by MIUR under contract 2008XM9HLM. G.I. acknowledges the support of the Technische Universität München—Institute for Advanced Study, funded by the German Excellence Initiative.

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Authors and Affiliations

  1. Dipartimento di Fisica, Università di Roma Tre, Via della Vasca Navale 84, 00146, Rome, Italy

    Gianluca Blankenburg

  2. Theory Division, CERN, 1211, Geneva 23, Switzerland

    Gianluca Blankenburg, Gino Isidori & Joel Jones-Pérez

  3. Laboratori Nazionali di Frascati, INFN, Via E. Fermi 40, 00044, Frascati, Italy

    Gino Isidori & Joel Jones-Pérez

Authors
  1. Gianluca Blankenburg
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  2. Gino Isidori
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  3. Joel Jones-Pérez
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Correspondence to Gino Isidori.

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Blankenburg, G., Isidori, G. & Jones-Pérez, J. Neutrino masses and LFV from minimal breaking of U(3)5 and U(2)5 flavor symmetries. Eur. Phys. J. C 72, 2126 (2012). https://doi.org/10.1140/epjc/s10052-012-2126-7

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  • DOI: https://doi.org/10.1140/epjc/s10052-012-2126-7

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