Predictions for <mml:math id="E1" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>μ</mml:mi><mml:mo>→</mml:mo><mml:mi>e</mml:mi><mml:mi>γ</mml:mi></mml:mrow></mml:math> 
 in Supersymmetry from Nontrivial Quark-Lepton Complementarity and Flavor Symmetry

Picariello, Marco

doi:https://doi.org/10.1155/2007/39676

Advances in High Energy Physics

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Research Article | Open Access

Volume 2007 | Article ID 039676 | https://doi.org/10.1155/2007/39676

Predictions for μ→eγ in Supersymmetry from Nontrivial Quark-Lepton Complementarity and Flavor Symmetry

Marco Picariello^1,2

Academic Editor: Joseph Formaggio

Received19 Jul 2007

Revised18 Oct 2007

Accepted31 Oct 2007

Published11 Dec 2007

Abstract

We compute the effect of nondiagonal neutrino mass in li→ljγ in Supersymmetry (SUSY) theories with nontrivial quark-lepton complementarity and a flavor symmetry. The correlation matrix VM = UCKMUPMNS is such that its (1,3) entry, as preferred by the present experimental data, is zero. We do not assume that VM is bimaximal. Quark-lepton complementarity and the flavor symmetry strongly constrain the theory and we obtain a clear prediction for the contribution to μ→eγ and the τ decays τ→eγ and τ→μγ. If the Dirac neutrino Yukawa couplings are degenerate but the low-energy neutrino masses are not degenerate, then the lepton decays are related among them by the VM entries. On the other hand, if the Dirac neutrino Yukawa couplings are hierarchical or the low-energy neutrino masses are degenerate, then the prediction for the lepton decays comes from the UCKM hierarchy.

References

M. Raidal, “Relation between the neutrino and quark mixing angles and grand unification,” Physical Review Letters, vol. 93, Article ID 161801, 2004.
View at: Publisher Site | Google Scholar
H. Minakata and A. Y. Smirnov, “Neutrino mixing and quark-lepton complementarity,” Physical Review D, vol. 70, no. 7, Article ID 073009, 2004.
View at: Publisher Site | Google Scholar
M. Picariello, “Neutrino CP violating parameters from nontrivial quark-lepton correlation: a S(3) $\times$ GUT model,” preprint, 2007, http://arxiv.org/abs/hep-ph/0611189.
View at: Google Scholar
B. C. Chauhan, M. Picariello, J. Pulido, and E. Torrente-Lujan, “Quark-lepton complementarity, neutrino and standard model data predict $θ_{13}^{P M N S}$ = ${(9_{- 2}^{+ 1})}^{\circ}$ ,” The European Physical Journal C—Particles and Fields, vol. 50, no. 3, pp. 573–578, 2007.
View at: Publisher Site | Google Scholar
S. Morisi, M. Picariello, and E. Torrente-Lujan, “A model for fermion masses and lepton mixing in $S O (10) \times A_{4}$ ,” Physical Review D, vol. 75, no. 7, Article ID 075015, 8 pages, 2007.
View at: Publisher Site | Google Scholar
G. Altarelli and F. Feruglio, “Tri-bimaximal neutrino mixing from discrete symmetry in extra dimensions,” Nuclear Physics B, vol. 720, no. 1-2, pp. 64–88, 2005.
View at: Publisher Site | Google Scholar
F. Bazzocchi, S. Morisi, and M. Picariello, “Embedding A4 into left-right flavor symmetry: tribimaximal neutrino mixing and fermion hierarchy,” 2007, preprint, 2007, http://arxiv.org/abs/hep-ph/0710.2928.
View at: Google Scholar
S. Morisi and M. Picariello, “The flavor physics in unified gauge theory from an $S_{3} \times P$ discrete symmetry,” International Journal of Theoretical Physics, vol. 45, no. 7, pp. 1311–1321, 2006.
View at: Publisher Site | Google Scholar
R. N. Mohapatra, S. Nasri, and H. B. Yu, “ $S_{3}$ symmetry and tri-bimaximal mixing,” Physics Letters B, vol. 639, no. 3-4, pp. 318–321, 2006.
View at: Publisher Site | Google Scholar
F. Caravaglios and S. Morisi, “Neutrino masses and mixings with an S(3) family permutation symmetry,” preprint, 2007, http://arxiv.org/abs/hep-ph/0503234.
View at: Google Scholar
M. Ciuchini, A. Masiero, P. Paradisi, L. Silvestrini, S. K. Vempati, and O. Vives, “Soft SUSY breaking grand unification: Leptons vs quarks on the flavor playground,” Nuclear Physics B, vol. 783, no. 1-2, pp. 112–142, 2007.
View at: Publisher Site | Google Scholar
S. Antusch, J. Kersten, M. Lindner, M. Ratz, and M. A. Schmidt, “Running neutrino mass parameters in see-saw scenarios,” Journal of High Energy Physics, no. 3, pp. 553–603, 2005.
View at: Google Scholar
M. A. Schmidt and A. Yu. Smirnov, “Quark lepton complementarity and renormalization group effects,” Physical Review D—Particles, Fields, Gravitation and Cosmology, vol. 74, no. 11, Article ID 113003, 15 pages, 2006.
View at: Publisher Site | Google Scholar
K. A. Hochmuth and W. Rodejohann, “Low and high energy phenomenology of quark-lepton complementarity scenarios,” Physical Review D—Particles, Fields, Gravitation and Cosmology, vol. 75, no. 7, Article ID 073001, 18 pages, 2007.
View at: Publisher Site | Google Scholar
K. Cheung, S. K. Kang, and J. Lee, “Lepton flavor violation as a probe of quark-lepton unification,” Physical Review D—Particles, Fields, Gravitation and Cosmology, vol. 72, no. 3, Article ID 036003, 5 pages, 2005.
View at: Publisher Site | Google Scholar
S. T. Petcov, S. Profumo, Y. Takanishi, and C. E. Yaguna, “Charged lepton flavor violating decays: leading logarithmic approximation versus full RG results,” Nuclear Physics B, vol. 676, no. 1-2, pp. 453–480, 2004.
View at: Publisher Site | Google Scholar
M. L. Brooks et al., “New limit for the family-number non-conserving decay $µ^{+} ? e^{+} ?$ . [MEGA Collaboration],” Phsical Review Letters, vol. 83, no. 8, pp. 1521–1524, 1999.
View at: Google Scholar
J. A. Casas and A. Ibarra, “Oscillating neutrinos and $μ \to e$ , $γ$ ,” Nuclear Physics B, vol. 618, no. 1-2, pp. 171–204, 2001.
View at: Publisher Site | Google Scholar
S. K. Agarwalla, M. K. parida, R. N. Mohapatra, and G. rajasekaran, “Neutrino mixings and leptonic CP violation from CKM matrix and Majorana phases,” Physical Review D, vol. 75, no. 3, Article ID 033007, 13 pages, 2007.
View at: Publisher Site | Google Scholar

Copyright

Copyright © 2007 Marco Picariello. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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